changed names of resource-1.3; added a note on homepage on release

This commit is contained in:
aarne
2008-06-25 16:54:35 +00:00
parent b96b36f43d
commit e9e80fc389
903 changed files with 113 additions and 32 deletions

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abstract Calculator = {
flags startcat = Prog ;
cat Prog ; Exp ; Var ;
fun
PEmpty : Prog ;
PInit : Exp -> (Var -> Prog) -> Prog ;
PAss : Var -> Exp -> Prog -> Prog ;
EPlus, EMinus, ETimes, EDiv : Exp -> Exp -> Exp ;
EInt : Int -> Exp ;
EVar : Var -> Exp ;
ex1 : Prog ;
def
ex1 =
PInit (EPlus (EInt 2) (EInt 3)) (\x ->
PInit (EPlus (EVar x) (EInt 1)) (\y ->
PAss x (EPlus (EVar x) (ETimes (EInt 9) (EVar y))) PEmpty)) ;
}

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--# -path=.:prelude
concrete CalculatorC of Calculator = open Prelude, Formal in {
flags lexer=codevars ; unlexer=code ;
lincat
Prog, Var = SS ;
Exp = TermPrec ;
lin
PEmpty = ss [] ;
PInit exp prog = ss ("int" ++ prog.$0 ++ "=" ++ top exp ++ ";" ++ prog.s) ;
PAss vr exp prog = ss (vr.s ++ "=" ++ top exp ++ ";" ++ prog.s) ;
EPlus = infixl 0 "+" ;
EMinus = infixl 0 "-" ;
ETimes = infixl 1 "*" ;
EDiv = infixl 1 "/" ;
EInt i = constant i.s ;
EVar x = constant x.s ;
}

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--# -path=.:prelude
concrete CalculatorE of Calculator = open Prelude in {
flags lexer=codevar ; unlexer=unwords ;
lincat
Prog, Exp, Var = SS ;
lin
PEmpty = ss [] ;
PInit exp prog = ss ("initialize" ++ prog.$0 ++ "as" ++ exp.s ++ PAUSE ++ prog.s) ;
PAss vr exp prog = ss ("redefine" ++ vr.s ++ "as" ++ exp.s ++ PAUSE ++ prog.s) ;
EPlus = infix "plus" ;
EMinus = infix "minus" ;
ETimes = infix "times" ;
EDiv = infix ["divided by"] ;
EInt i = i ;
EVar x = x ;
oper
infix : Str -> SS -> SS -> SS = \op,x,y ->
ss (x.s ++ op ++ y.s ++ PAUSE) ;
PAUSE = "PAUSE" ;
}

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--# -path=.:prelude
concrete CalculatorJ of Calculator = open Prelude in {
flags lexer=codevars ; unlexer=code ;
lincat
Prog, Exp, Var = SS ;
lin
PEmpty = ss [] ;
PInit exp prog = ss (exp.s ++ ";" ++ "istore" ++ prog.$0 ++ ";" ++ prog.s) ;
PAss vr exp prog = ss (exp.s ++ ";" ++ "istore" ++ vr.s ++ ";" ++ prog.s) ;
EPlus = postfix "iadd" ;
EMinus = postfix "isub" ;
ETimes = postfix "imul" ;
EDiv = postfix "idiv" ;
EInt = prefixSS "iconst" ;
EVar = prefixSS "iload" ;
oper
postfix : Str -> SS -> SS -> SS = \op,x,y -> ss (x.s ++ ";" ++ y.s ++ ";" ++ op) ;
}

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--# -path=.:prelude
concrete CalculatorP of Calculator = open Prelude in {
flags lexer=codevars ; unlexer=code ;
lincat
Prog, Var = SS ;
Exp = SS ;
lin
PEmpty = ss [] ;
PDecl exp prog = ss ("int" ++ prog.$0 ++ "=" ++ exp.s ++ ";" ++ prog.s) ;
PAss vr exp prog = ss (vr.s ++ "=" ++ exp.s ++ ";" ++ prog.s) ;
EPlus = infix "+" ;
EMinus = infix "-" ;
ETimes = infix "*" ;
EDiv = infix "/" ;
EInt i = i ;
EVar x = x ;
oper
infix : Str -> SS -> SS -> SS = \f,x,y ->
ss ("(" ++ x.s ++ f ++ y.s ++ ")") ;
}

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interface LexMath = open Syntax in {
oper
even_A : A ;
odd_A : A ;
prime_A : A ;
}

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instance LexMathEng of LexMath = open SyntaxEng, ParadigmsEng in {
oper
even_A = mkA "even" ;
odd_A = mkA "odd" ;
prime_A = mkA "prime" ;
}

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instance LexMathFre of LexMath = open SyntaxFre, ParadigmsFre in {
oper
even_A = mkA "pair" ;
odd_A = mkA "impair" ;
prime_A = mkA "premier" ;
}

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all:
gfc --make -haskell MathEng.gf MathFre.gf
ghc --make -o ./math TransferLoop.hs
strip math
clean:
rm -f *.gfo *.o *.hi
distclean:
rm -f GSyntax.hs math Math.gfcc *.gfo *.o *.hi

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abstract Math = {
cat Answer ; Question ; Object ;
fun
Even : Object -> Question ;
Odd : Object -> Question ;
Prime : Object -> Question ;
Number : Int -> Object ;
Yes : Answer ;
No : Answer ;
}

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--# -path=.:present:prelude:mathematical
concrete MathEng of Math = MathI with
(Syntax = SyntaxEng),
(Symbol = SymbolEng),
(LexMath = LexMathEng) ;

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--# -path=.:present:prelude:mathematical
concrete MathFre of Math = MathI with
(Syntax = SyntaxFre),
(Symbol = SymbolFre),
(LexMath = LexMathFre) ;

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incomplete concrete MathI of Math =
open Syntax, Symbol, LexMath in {
flags startcat = Question ; lexer = textlit ; unlexer = text ;
lincat
Answer = Text ;
Question = Text ;
Object = NP ;
lin
Even = questAdj even_A ;
Odd = questAdj odd_A ;
Prime = questAdj prime_A ;
Number n = mkNP (IntPN n) ;
Yes = mkText yes_Phr ;
No = mkText no_Phr ;
oper
questAdj : A -> NP -> Text = \adj,x -> mkText (mkQS (mkCl x adj)) ;
}

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module TransferDef where
import GF.GFCC.API (Tree)
import GSyntax
transfer :: Tree -> Tree
transfer = gf . answer . fg
answer :: GQuestion -> GAnswer
answer p = case p of
GOdd x -> test odd x
GEven x -> test even x
GPrime x -> test prime x
value :: GObject -> Int
value e = case e of
GNumber (GInt i) -> fromInteger i
test :: (Int -> Bool) -> GObject -> GAnswer
test f x = if f (value x) then GYes else GNo
prime :: Int -> Bool
prime x = elem x primes where
primes = sieve [2 .. x]
sieve (p:xs) = p : sieve [ n | n <- xs, n `mod` p > 0 ]
sieve [] = []

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module Main where
import GF.GFCC.API
import TransferDef (transfer)
main :: IO ()
main = do
gr <- file2grammar "Math.gfcc"
loop (translate transfer gr)
loop :: (String -> String) -> IO ()
loop trans = do
s <- getLine
if s == "quit" then putStrLn "bye" else do
putStrLn $ trans s
loop trans
translate :: (Tree -> Tree) -> MultiGrammar -> String -> String
translate tr gr = unlines . map transLine . lines where
transLine s = case parseAllLang gr "Question" s of
(lg,t:_):_ -> linearize gr lg (tr t)
_ -> "NO PARSE"

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module Main where
import GF.Embed.EmbedAPI
import System (getArgs)
main :: IO ()
main = do
file:_ <- getArgs
gr <- file2grammar file
interact (translate gr)
translate :: MultiGrammar -> String -> String
translate gr = unlines . map transLine . lines where
transLine s =
let (lang,tree:_):_ = parseAllLang gr (startCat gr) s
in unlines [linearize gr lg tree | lg <- languages gr, lg /= lang]

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module Main where
import GF.Embed.EmbedAPI
import System (getArgs)
main :: IO ()
main = do
file:_ <- getArgs
gr <- file2grammar file
loop (translate gr)
loop :: (String -> String) -> IO ()
loop trans = do
s <- getLine
if s == "quit" then putStrLn "bye" else do
putStrLn $ trans s
loop trans
translate :: MultiGrammar -> String -> String
translate gr = unlines . map transLine . lines where
transLine s = case parseAllLang gr (startCat gr) s of
(lg,t:_):_ -> unlines [linearize gr l t | l <- languages gr, l /= lg]
_ -> "NO PARSE"

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module GSyntax where
import GF.Infra.Ident
import GF.Grammar.Grammar
import GF.Grammar.PrGrammar
import GF.Grammar.Macros
import GF.Data.Operations
----------------------------------------------------
-- automatic translation from GF to Haskell
----------------------------------------------------
class Gf a where gf :: a -> Trm
class Fg a where fg :: Trm -> a
newtype GString = GString String deriving Show
instance Gf GString where
gf (GString s) = K s
instance Fg GString where
fg t =
case termForm t of
Ok ([], K s ,[]) -> GString s
_ -> error ("no GString " ++ prt t)
newtype GInt = GInt Integer deriving Show
instance Gf GInt where
gf (GInt s) = EInt s
instance Fg GInt where
fg t =
case termForm t of
Ok ([], EInt s ,[]) -> GInt s
_ -> error ("no GInt " ++ prt t)
newtype GFloat = GFloat Double deriving Show
instance Gf GFloat where
gf (GFloat s) = EFloat s
instance Fg GFloat where
fg t =
case termForm t of
Ok ([], EFloat s ,[]) -> GFloat s
_ -> error ("no GFloat " ++ prt t)
----------------------------------------------------
-- below this line machine-generated
----------------------------------------------------
data GAnswer =
GYes
| GNo
deriving Show
data GObject = GNumber GInt
deriving Show
data GQuestion =
GPrime GObject
| GOdd GObject
| GEven GObject
deriving Show
instance Gf GAnswer where
gf GYes = appqc "Math" "Yes" []
gf GNo = appqc "Math" "No" []
instance Gf GObject where gf (GNumber x1) = appqc "Math" "Number" [gf x1]
instance Gf GQuestion where
gf (GPrime x1) = appqc "Math" "Prime" [gf x1]
gf (GOdd x1) = appqc "Math" "Odd" [gf x1]
gf (GEven x1) = appqc "Math" "Even" [gf x1]
instance Fg GAnswer where
fg t =
case termForm t of
Ok ([], Q (IC "Math") (IC "Yes"),[]) -> GYes
Ok ([], Q (IC "Math") (IC "No"),[]) -> GNo
_ -> error ("no Answer " ++ prt t)
instance Fg GObject where
fg t =
case termForm t of
Ok ([], Q (IC "Math") (IC "Number"),[x1]) -> GNumber (fg x1)
_ -> error ("no Object " ++ prt t)
instance Fg GQuestion where
fg t =
case termForm t of
Ok ([], Q (IC "Math") (IC "Prime"),[x1]) -> GPrime (fg x1)
Ok ([], Q (IC "Math") (IC "Odd"),[x1]) -> GOdd (fg x1)
Ok ([], Q (IC "Math") (IC "Even"),[x1]) -> GEven (fg x1)
_ -> error ("no Question " ++ prt t)

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module Main where
import GSyntax
import GF.Embed.EmbedAPI
main :: IO ()
main = do
gr <- file2grammar "math.gfcm"
loop gr
loop :: MultiGrammar -> IO ()
loop gr = do
s <- getLine
interpret gr s
loop gr
interpret :: MultiGrammar -> String -> IO ()
interpret gr s = do
let ltss = parseAllLang gr "Question" s
case ltss of
[] -> putStrLn "no parse"
(l,t:_):_ -> putStrLn $ linearize gr l $ gf $ answer $ fg t
answer :: GQuestion -> GAnswer
answer p = case p of
GOdd x -> test odd x
GEven x -> test even x
GPrime x -> test prime x
value :: GObject -> Int
value e = case e of
GNumber (GInt i) -> fromInteger i
test :: (Int -> Bool) -> GObject -> GAnswer
test f x = if f (value x) then GYes else GNo
prime :: Int -> Bool
prime = (< 8) ----

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abstract Food = {
cat
Phrase ; Item ; Kind ; Quality ;
flags startcat = Phrase ;
fun
Is : Item -> Quality -> Phrase ;
This, That : Kind -> Item ;
QKind : Quality -> Kind -> Kind ;
Wine, Cheese, Fish : Kind ;
Very : Quality -> Quality ;
Fresh, Warm, Italian, Expensive, Delicious, Boring : Quality ;
}

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concrete FoodEng of Food = {
lincat
Phrase, Item, Kind, Quality = {s : Str} ;
lin
Is item quality = {s = item.s ++ "is" ++ quality.s} ;
This kind = {s = "this" ++ kind.s} ;
That kind = {s = "that" ++ kind.s} ;
QKind quality kind = {s = quality.s ++ kind.s} ;
Wine = {s = "wine"} ;
Cheese = {s = "cheese"} ;
Fish = {s = "fish"} ;
Very quality = {s = "very" ++ quality.s} ;
Fresh = {s = "fresh"} ;
Warm = {s = "warm"} ;
Italian = {s = "Italian"} ;
Expensive = {s = "expensive"} ;
Delicious = {s = "delicious"} ;
Boring = {s = "boring"} ;
}

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concrete FoodIta of Food = {
lincat
Phrase, Item, Kind, Quality = {s : Str} ;
lin
Is item quality = {s = item.s ++ "è" ++ quality.s} ;
This kind = {s = "questo" ++ kind.s} ;
That kind = {s = "quello" ++ kind.s} ;
QKind quality kind = {s = kind.s ++ quality.s} ;
Wine = {s = "vino"} ;
Cheese = {s = "formaggio"} ;
Fish = {s = "pesce"} ;
Very quality = {s = "molto" ++ quality.s} ;
Fresh = {s = "fresco"} ;
Warm = {s = "caldo"} ;
Italian = {s = "italiano"} ;
Expensive = {s = "caro"} ;
Delicious = {s = "delizioso"} ;
Boring = {s = "noioso"} ;
}

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Phrase ::=
("this" | "that") Quality* ("wine" | "cheese" | "fish") "is" Quality ;
Quality ::=
("very"* ("fresh" | "warm" | "boring" | "Italian" | "expensive")) ;

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abstract Foods = {
flags startcat=Phrase ;
cat
Phrase ; Item ; Kind ; Quality ;
fun
Is : Item -> Quality -> Phrase ;
This, That, These, Those : Kind -> Item ;
QKind : Quality -> Kind -> Kind ;
Wine, Cheese, Fish, Pizza : Kind ;
Very : Quality -> Quality ;
Fresh, Warm, Italian, Expensive, Delicious, Boring : Quality ;
}

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--# -path=.:prelude
concrete FoodsEng of Foods = open Prelude in {
lincat
Phrase, Quality = SS ;
Kind = {s : Number => Str} ;
Item = {s : Str ; n : Number} ;
lin
Is item quality = ss (item.s ++ copula ! item.n ++ quality.s) ;
This = det Sg "this" ;
That = det Sg "that" ;
These = det Pl "these" ;
Those = det Pl "those" ;
QKind quality kind = {s = \\n => quality.s ++ kind.s ! n} ;
Wine = regNoun "wine" ;
Cheese = regNoun "cheese" ;
Fish = noun "fish" "fish" ;
Pizza = regNoun "pizza" ;
Very = prefixSS "very" ;
Fresh = ss "fresh" ;
Warm = ss "warm" ;
Italian = ss "Italian" ;
Expensive = ss "expensive" ;
Delicious = ss "delicious" ;
Boring = ss "boring" ;
param
Number = Sg | Pl ;
oper
det : Number -> Str -> {s : Number => Str} -> {s : Str ; n : Number} =
\n,d,cn -> {
s = d ++ cn.s ! n ;
n = n
} ;
noun : Str -> Str -> {s : Number => Str} =
\man,men -> {s = table {
Sg => man ;
Pl => men
}
} ;
regNoun : Str -> {s : Number => Str} =
\car -> noun car (car + "s") ;
copula : Number => Str =
table {
Sg => "is" ;
Pl => "are"
} ;
}

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--# -path=.:prelude
concrete FoodsIta of Foods = open Prelude in {
lincat
Phrase = SS ;
Quality = {s : Gender => Number => Str} ;
Kind = {s : Number => Str ; g : Gender} ;
Item = {s : Str ; g : Gender ; n : Number} ;
lin
Is item quality =
ss (item.s ++ copula item.n ++ quality.s ! item.g ! item.n) ;
This = det Sg "questo" "questa" ;
That = det Sg "quello" "quella" ;
These = det Pl "questi" "queste" ;
Those = det Pl "quelli" "quelle" ;
QKind quality kind = {
s = \\n => kind.s ! n ++ quality.s ! kind.g ! n ;
g = kind.g
} ;
Wine = noun "vino" "vini" Masc ;
Cheese = noun "formaggio" "formaggi" Masc ;
Fish = noun "pesce" "pesci" Masc ;
Pizza = noun "pizza" "pizze" Fem ;
Very qual = {s = \\g,n => "molto" ++ qual.s ! g ! n} ;
Fresh = adjective "fresco" "fresca" "freschi" "fresche" ;
Warm = regAdj "caldo" ;
Italian = regAdj "italiano" ;
Expensive = regAdj "caro" ;
Delicious = regAdj "delizioso" ;
Boring = regAdj "noioso" ;
param
Number = Sg | Pl ;
Gender = Masc | Fem ;
oper
det : Number -> Str -> Str -> {s : Number => Str ; g : Gender} ->
{s : Str ; g : Gender ; n : Number} =
\n,m,f,cn -> {
s = case cn.g of {Masc => m ; Fem => f} ++ cn.s ! n ;
g = cn.g ;
n = n
} ;
noun : Str -> Str -> Gender -> {s : Number => Str ; g : Gender} =
\man,men,g -> {
s = table {
Sg => man ;
Pl => men
} ;
g = g
} ;
adjective : (_,_,_,_ : Str) -> {s : Gender => Number => Str} =
\nero,nera,neri,nere -> {
s = table {
Masc => table {
Sg => nero ;
Pl => neri
} ;
Fem => table {
Sg => nera ;
Pl => nere
}
}
} ;
regAdj : Str -> {s : Gender => Number => Str} = \nero ->
let ner = init nero
in adjective nero (ner + "a") (ner + "i") (ner + "e") ;
copula : Number -> Str =
\n -> case n of {
Sg => "è" ;
Pl => "sono"
} ;
}

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abstract Hello = {
cat Greeting ; Recipient ;
flags startcat = Greeting ;
fun
Hello : Recipient -> Greeting ;
World, Mum, Friends : Recipient ;
}

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concrete HelloEng of Hello = {
lincat Greeting, Recipient = {s : Str} ;
lin
Hello rec = {s = "hello" ++ rec.s} ;
World = {s = "world"} ;
Mum = {s = "mum"} ;
Friends = {s = "friends"} ;
}

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concrete HelloFin of Hello = {
lincat Greeting, Recipient = {s : Str} ;
lin
Hello rec = {s = "terve" ++ rec.s} ;
World = {s = "maailma"} ;
Mum = {s = "äiti"} ;
Friends = {s = "ystävät"} ;
}

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concrete HelloIta of Hello = {
lincat Greeting, Recipient = {s : Str} ;
lin
Hello rec = {s = "ciao" ++ rec.s} ;
World = {s = "mondo"} ;
Mum = {s = "mamma"} ;
Friends = {s = "amici"} ;
}

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import HelloEng.gf
import HelloFin.gf
import HelloIta.gf
linearize -multi Hello World

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abstract ExtFoods = Foods ** {
flags startcat=Move ;
cat
Move ; -- declarative, question, or imperative
Verb ; -- transitive verb
Guest ; -- guest in restaurant
GuestKind ; -- type of guest
fun
MAssert : Phrase -> Move ; -- This pizza is warm.
MDeny : Phrase -> Move ; -- This pizza isn't warm.
MAsk : Phrase -> Move ; -- Is this pizza warm?
PVerb : Guest -> Verb -> Item -> Phrase ; -- we eat this pizza
PVerbWant : Guest -> Verb -> Item -> Phrase ; -- we want to eat this pizza
WhichVerb : Kind -> Guest -> Verb -> Move ; -- Which pizza do you eat?
WhichVerbWant : Kind -> Guest -> Verb -> Move ;
-- Which pizza do you want to eat?
WhichIs : Kind -> Quality -> Move ; -- Which wine is Italian?
Do : Verb -> Item -> Move ; -- Pay this wine!
DoPlease : Verb -> Item -> Move ; -- Pay this wine please!
I, You, We : Guest ;
GThis, GThat, GThese, GThose : GuestKind -> Guest ;
Eat, Drink, Pay : Verb ;
Lady, Gentleman : GuestKind ;
}

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--# -path=.:../foods:present:prelude
concrete ExtFoodsEng of ExtFoods = FoodsEni ** ExtFoodsI with
(Syntax = SyntaxEng),
(LexFoods = LexFoodsEng) ;

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--# -path=.:../foods:present:prelude
concrete ExtFoodsFin of ExtFoods = FoodsFin ** ExtFoodsI with
(Syntax = SyntaxFin),
(LexFoods = LexFoodsFin) ;

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--# -path=.:../foods:present:prelude
concrete ExtFoodsGer of ExtFoods = FoodsGer ** ExtFoodsI with
(Syntax = SyntaxGer),
(LexFoods = LexFoodsGer) ;

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incomplete concrete ExtFoodsI of ExtFoods = FoodsI ** open Syntax, LexFoods in {
flags lexer=text ; unlexer=text ;
lincat
Move = Text ;
Verb = V2 ;
Guest = NP ;
GuestKind = CN ;
lin
MAssert p = mkText (mkS p) ;
MDeny p = mkText (mkS negativePol p) ;
MAsk p = mkText (mkQS p) ;
PVerb = mkCl ;
PVerbWant guest verb item = mkCl guest want_VV (mkVP verb item) ;
WhichVerb kind guest verb =
mkText (mkQS (mkQCl (mkIP whichSg_IDet kind) guest verb)) ;
WhichVerbWant kind guest verb =
mkText (mkQS (mkQCl (mkIP whichSg_IDet kind)
(mkClSlash guest want_VV verb))) ;
WhichIs kind quality =
mkText (mkQS (mkQCl (mkIP whichSg_IDet kind) (mkVP quality))) ;
Do verb item =
mkText
(mkPhr (mkUtt politeImpForm (mkImp verb item))) exclMarkPunct ;
DoPlease verb item =
mkText
(mkPhr (mkUtt politeImpForm (mkImp verb item)) please_Voc)
exclMarkPunct ;
I = mkNP i_Pron ;
You = mkNP youPol_Pron ;
We = mkNP we_Pron ;
GThis = mkNP this_QuantSg ;
GThat = mkNP that_QuantSg ;
GThese = mkNP these_QuantPl ;
GThose = mkNP those_QuantPl ;
Eat = eat_V2 ;
Drink = drink_V2 ;
Pay = pay_V2 ;
Lady = mkCN lady_N ;
Gentleman = mkCN gentleman_N ;
}

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--# -path=.:../foods:present:prelude
concrete FoodsEng of Foods = open SyntaxEng,ParadigmsEng in {
lincat
Phrase = Cl ;
Item = NP ;
Kind = CN ;
Quality = AP ;
lin
Is item quality = mkCl item quality ;
This kind = mkNP this_QuantSg kind ;
That kind = mkNP that_QuantSg kind ;
These kind = mkNP these_QuantPl kind ;
Those kind = mkNP those_QuantPl kind ;
QKind quality kind = mkCN quality kind ;
Wine = mkCN (mkN "wine") ;
Pizza = mkCN (mkN "pizza") ;
Cheese = mkCN (mkN "cheese") ;
Fish = mkCN (mkN "fish" "fish") ;
Very quality = mkAP very_AdA quality ;
Fresh = mkAP (mkA "fresh") ;
Warm = mkAP (mkA "warm") ;
Italian = mkAP (mkA "Italian") ;
Expensive = mkAP (mkA "expensive") ;
Delicious = mkAP (mkA "delicious") ;
Boring = mkAP (mkA "boring") ;
}

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--# -path=.:../foods:present:prelude
concrete FoodsEni of Foods = FoodsI with
(Syntax = SyntaxEng),
(LexFoods = LexFoodsEng) ;

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--# -path=.:../foods:present:prelude
concrete FoodsFin of Foods = FoodsI with
(Syntax = SyntaxFin),
(LexFoods = LexFoodsFin) ;

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--# -path=.:../foods:present:prelude
concrete FoodsFre of Foods = FoodsI with
(Syntax = SyntaxFre),
(LexFoods = LexFoodsFre) ;

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--# -path=.:../foods:present:prelude
concrete FoodsGer of Foods = FoodsI with
(Syntax = SyntaxGer),
(LexFoods = LexFoodsGer) ;

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--# -path=.:../foods:present:prelude
incomplete concrete FoodsI of Foods = open Syntax, LexFoods in {
lincat
Phrase = Cl ;
Item = NP ;
Kind = CN ;
Quality = AP ;
lin
Is item quality = mkCl item quality ;
This kind = mkNP this_QuantSg kind ;
That kind = mkNP that_QuantSg kind ;
These kind = mkNP these_QuantPl kind ;
Those kind = mkNP those_QuantPl kind ;
QKind quality kind = mkCN quality kind ;
Very quality = mkAP very_AdA quality ;
Wine = mkCN wine_N ;
Pizza = mkCN pizza_N ;
Cheese = mkCN cheese_N ;
Fish = mkCN fish_N ;
Fresh = mkAP fresh_A ;
Warm = mkAP warm_A ;
Italian = mkAP italian_A ;
Expensive = mkAP expensive_A ;
Delicious = mkAP delicious_A ;
Boring = mkAP boring_A ;
}

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--# -path=.:../foods:present:prelude
concrete FoodsIta of Foods = FoodsI with
(Syntax = SyntaxIta),
(LexFoods = LexFoodsIta) ;

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interface LexFoods = open Syntax in {
oper
wine_N : N ;
pizza_N : N ;
cheese_N : N ;
fish_N : N ;
fresh_A : A ;
warm_A : A ;
italian_A : A ;
expensive_A : A ;
delicious_A : A ;
boring_A : A ;
eat_V2 : V2 ;
drink_V2 : V2 ;
pay_V2 : V2 ;
lady_N : N ;
gentleman_N : N ;
}

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instance LexFoodsEng of LexFoods = open SyntaxEng, ParadigmsEng, IrregEng in {
oper
wine_N = mkN "wine" ;
pizza_N = mkN "pizza" ;
cheese_N = mkN "cheese" ;
fish_N = mkN "fish" "fish" ;
fresh_A = mkA "fresh" ;
warm_A = mkA "warm" ;
italian_A = mkA "Italian" ;
expensive_A = mkA "expensive" ;
delicious_A = mkA "delicious" ;
boring_A = mkA "boring" ;
eat_V2 = mkV2 eat_V ;
drink_V2 = mkV2 drink_V ;
pay_V2 = mkV2 pay_V ;
lady_N = mkN "lady" ;
gentleman_N = mkN "gentleman" "gentlemen" ;
}

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instance LexFoodsFin of LexFoods = open SyntaxFin, ParadigmsFin in {
oper
wine_N = mkN "viini" ;
pizza_N = mkN "pizza" ;
cheese_N = mkN "juusto" ;
fish_N = mkN "kala" ;
fresh_A = mkA "tuore" ;
warm_A = mkA "lämmin" ;
italian_A = mkA "italialainen" ;
expensive_A = mkA "kallis" ;
delicious_A = mkA "herkullinen" ;
boring_A = mkA "tylsä" ;
eat_V2 = mkV2 (mkV "syödä") partitive ;
drink_V2 = mkV2 (mkV "juoda") partitive ;
pay_V2 = mkV2 (mkV "maksaa") ;
lady_N = mkN "rouva" ;
gentleman_N = mkN "herra" ;
}

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--# -path=.:../foods:present:prelude
instance LexFoodsFre of LexFoods = open SyntaxFre,ParadigmsFre in {
oper
wine_N = mkN "vin" ;
pizza_N = mkN "pizza" feminine ;
cheese_N = mkN "fromage" masculine ;
fish_N = mkN "poisson" ;
fresh_A = mkA "frais" "fraîche" "frais" "fraîches";
warm_A = mkA "chaud" ;
italian_A = mkA "italien" ;
expensive_A = mkA "cher" ;
delicious_A = mkA "délicieux" ;
boring_A = mkA "ennuyeux" ;
}

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instance LexFoodsGer of LexFoods = open SyntaxGer, ParadigmsGer, IrregGer in {
oper
wine_N = mkN "Wein" ;
pizza_N = mkN "Pizza" "Pizzen" feminine ;
cheese_N = mkN "Käse" "Käsen" masculine ;
fish_N = mkN "Fisch" ;
fresh_A = mkA "frisch" ;
warm_A = mkA "warm" "wärmer" "wärmste" ;
italian_A = mkA "italienisch" ;
expensive_A = mkA "teuer" ;
delicious_A = mkA "köstlich" ;
boring_A = mkA "langweilig" ;
eat_V2 = mkV2 essen_V ;
drink_V2 = mkV2 trinken_V ;
pay_V2 = mkV2 (mkV "bezahlen") ;
lady_N = mkN "Frau" "Frauen" feminine ;
gentleman_N = mkN "Herr" "Herren" masculine ;
}

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--# -path=.:../foods:present:prelude
instance LexFoodsIta of LexFoods = open SyntaxIta, ParadigmsIta in {
oper
wine_N = mkN "vino" ;
pizza_N = mkN "pizza" ;
cheese_N = mkN "formaggio" ;
fish_N = mkN "pesce" ;
fresh_A = mkA "fresco" ;
warm_A = mkA "caldo" ;
italian_A = mkA "italiano" ;
expensive_A = mkA "caro" ;
delicious_A = mkA "delizioso" ;
boring_A = mkA "noioso" ;
}

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module Main where
import GSyntax
import AnswerBase
import GF.GFCC.API
main :: IO ()
main = do
gr <- file2grammar "base.gfcc"
loop gr
loop :: MultiGrammar -> IO ()
loop gr = do
s <- getLine
case parse gr "BaseEng" "Question" s of
[] -> putStrLn "no parse"
ts -> mapM_ answer ts
loop gr
where
answer t = putStrLn $ linearize gr "BaseEng" $ gf $ question2answer $ fg t

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module AnswerBase where
import GSyntax
-- interpretation of Base
type Prop = Bool
type Ent = Int
domain = [0 .. 100]
iS :: GS -> Prop
iS s = case s of
GPredAP np ap -> iNP np (iAP ap)
iNP :: GNP -> (Ent -> Prop) -> Prop
iNP np p = case np of
GEvery cn -> all (\x -> not (iCN cn x) || p x) domain
GSome cn -> any (\x -> iCN cn x && p x) domain
GNone -> not (any (\x -> p x) domain)
GMany pns -> and (map p (iListPN pns))
GConjNP c np1 np2 -> iConj c (iNP np1 p) (iNP np2 p)
GUsePN a -> p (iPN a)
iPN :: GPN -> Ent
iPN pn = case pn of
GUseInt i -> iInt i
GSum pns -> sum (iListPN pns)
GProduct pns -> product (iListPN pns)
GGCD pns -> foldl1 gcd (iListPN pns)
iAP :: GAP -> Ent -> Prop
iAP ap e = case ap of
GComplA2 a2 np -> iNP np (iA2 a2 e)
GConjAP c ap1 ap2 -> iConj c (iAP ap1 e) (iAP ap2 e)
GEven -> even e
GOdd -> odd e
GPrime -> prime e
iCN :: GCN -> Ent -> Prop
iCN cn e = case cn of
GModCN ap cn0 -> (iCN cn0 e) && (iAP ap e)
GNumber -> True
iConj :: GConj -> Prop -> Prop -> Prop
iConj c = case c of
GAnd -> (&&)
GOr -> (||)
iA2 :: GA2 -> Ent -> Ent -> Prop
iA2 a2 e1 e2 = case a2 of
GGreater -> e1 > e2
GSmaller -> e1 < e2
GEqual -> e1 == e2
GDivisible -> e2 /= 0 && mod e1 e2 == 0
iListPN :: GListPN -> [Ent]
iListPN gls = case gls of
GListPN pns -> map iPN pns
iInt :: GInt -> Ent
iInt gi = case gi of
GInt i -> fromInteger i
-- questions and answers
iQuestion :: GQuestion -> Either Bool [Ent]
iQuestion q = case q of
GWhatIs pn -> Right [iPN pn] -- computes the value
GWhichAre cn ap -> Right [e | e <- domain, iCN cn e, iAP ap e]
GQuestS s -> Left (iS s)
question2answer :: GQuestion -> GAnswer
question2answer q = case iQuestion q of
Left True -> GYes
Left False -> GNo
Right [] -> GValue GNone
Right [v] -> GValue (GUsePN (ent2pn v))
Right vs -> GValue (GMany (GListPN (map ent2pn vs)))
ent2pn :: Ent -> GPN
ent2pn e = GUseInt (GInt (toInteger e))
-- auxiliary
prime :: Int -> Bool
prime x = elem x primes where
primes = sieve [2 .. x]
sieve (p:xs) = p : sieve [ n | n <- xs, n `mod` p > 0 ]
sieve [] = []

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-- abstract syntax of a query language
abstract Base = {
cat
S ;
NP ;
PN ;
CN ;
AP ;
A2 ;
Conj ;
fun
-- sentence syntax
PredAP : NP -> AP -> S ;
ComplA2 : A2 -> NP -> AP ;
ModCN : AP -> CN -> CN ;
ConjAP : Conj -> AP -> AP -> AP ;
ConjNP : Conj -> NP -> NP -> NP ;
UsePN : PN -> NP ;
Every : CN -> NP ;
Some : CN -> NP ;
And, Or : Conj ;
-- lexicon
UseInt : Int -> PN ;
Number : CN ;
Even, Odd, Prime : AP ;
Equal, Greater, Smaller, Divisible : A2 ;
Sum, Product, GCD : ListPN -> PN ;
-- adding questions
cat
Question ;
Answer ;
ListPN ;
fun
WhatIs : PN -> Question ;
WhichAre : CN -> AP -> Question ;
QuestS : S -> Question ;
Yes : Answer ;
No : Answer ;
Value : NP -> Answer ;
None : NP ;
Many : ListPN -> NP ;
BasePN : PN -> PN -> ListPN ;
ConsPN : PN -> ListPN -> ListPN ;
}

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--# -path=.:prelude
concrete BaseEng of Base = open Prelude in {
flags lexer=literals ; unlexer=text ;
-- English concrete syntax; greatly simplified - just for demo purposes
lin
PredAP = infixSS "is" ;
ComplA2 = cc2 ;
ModCN = cc2 ;
ConjAP c = infixSS c.s ;
ConjNP c = infixSS c.s ;
UsePN a = a ;
Every = prefixSS "every" ;
Some = prefixSS "some" ;
And = ss "and" ;
Or = ss "or" ;
UseInt n = n ;
Number = ss "number" ;
Even = ss "even" ;
Odd = ss "odd" ;
Prime = ss "prime" ;
Equal = ss ("equal" ++ "to") ;
Greater = ss ("greater" ++ "than") ;
Smaller = ss ("smaller" ++ "than") ;
Divisible = ss ("divisible" ++ "by") ;
Sum = prefixSS ["the sum of"] ;
Product = prefixSS ["the product of"] ;
GCD = prefixSS ["the greatest common divisor of"] ;
WhatIs = prefixSS ["what is"] ;
WhichAre cn ap = ss ("which" ++ cn.s ++ "is" ++ ap.s) ; ---- are
QuestS s = s ; ---- inversion
Yes = ss "yes" ;
No = ss "no" ;
Value np = np ;
None = ss "none" ;
Many list = list ;
BasePN = infixSS "and" ;
ConsPN = infixSS "," ;
}

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incomplete concrete BaseI of Base =
open Syntax, (G = Grammar), Symbolic, LexBase in {
flags lexer=literals ; unlexer=text ;
lincat
Question = G.Phr ;
Answer = G.Phr ;
S = G.Cl ;
NP = G.NP ;
PN = G.NP ;
CN = G.CN ;
AP = G.AP ;
A2 = G.A2 ;
Conj = G.Conj ;
ListPN = G.ListNP ;
lin
PredAP = mkCl ;
ComplA2 = mkAP ;
ModCN = mkCN ;
ConjAP = mkAP ;
ConjNP = mkNP ;
UsePN p = p ;
Every = mkNP every_Det ;
Some = mkNP someSg_Det ;
And = and_Conj ;
Or = or_Conj ;
UseInt i = symb i ;
Number = mkCN number_N ;
Even = mkAP even_A ;
Odd = mkAP odd_A ;
Prime = mkAP prime_A ;
Equal = equal_A2 ;
Greater = greater_A2 ;
Smaller = smaller_A2 ;
Divisible = divisible_A2 ;
Sum = prefix sum_N2 ;
Product = prefix product_N2 ;
GCD nps = mkNP (mkDet (mkQuantSg defQuant) (mkOrd great_A))
(mkCN common_A (mkCN divisor_N2 (mkNP and_Conj nps))) ;
WhatIs np = mkPhr (mkQS (mkQCl whatSg_IP (mkVP np))) ;
WhichAre cn ap = mkPhr (mkQS (mkQCl (mkIP whichPl_IDet cn) (mkVP ap))) ;
QuestS s = mkPhr (mkQS (mkQCl s)) ;
Yes = yes_Phr ;
No = no_Phr ;
Value np = mkPhr (mkUtt np) ;
Many list = mkNP and_Conj list ;
None = none_NP ;
BasePN = G.BaseNP ;
ConsPN = G.ConsNP ;
oper
prefix : G.N2 -> G.ListNP -> G.NP = \n2,nps ->
mkNP defSgDet (mkCN n2 (mkNP and_Conj nps)) ;
}

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--# -path=.:prelude:present:api:mathematical
concrete BaseIEng of Base = BaseI with
(Syntax = SyntaxEng),
(Grammar = GrammarEng),
(G = GrammarEng),
(Symbolic = SymbolicEng),
(LexBase = LexBaseEng) ;

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--# -path=.:prelude:present:api:mathematical
concrete BaseSwe of Base = BaseI with
(Syntax = SyntaxSwe),
(Grammar = GrammarSwe),
(G = GrammarSwe),
(Symbolic = SymbolicSwe),
(LexBase = LexBaseSwe) ;

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abstract Core = {
cat
}

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module GSyntax where
import GF.GFCC.DataGFCC
import GF.GFCC.AbsGFCC
----------------------------------------------------
-- automatic translation from GF to Haskell
----------------------------------------------------
class Gf a where gf :: a -> Exp
class Fg a where fg :: Exp -> a
newtype GString = GString String deriving Show
instance Gf GString where
gf (GString s) = DTr [] (AS s) []
instance Fg GString where
fg t =
case t of
DTr [] (AS s) [] -> GString s
_ -> error ("no GString " ++ show t)
newtype GInt = GInt Integer deriving Show
instance Gf GInt where
gf (GInt s) = DTr [] (AI s) []
instance Fg GInt where
fg t =
case t of
DTr [] (AI s) [] -> GInt s
_ -> error ("no GInt " ++ show t)
newtype GFloat = GFloat Double deriving Show
instance Gf GFloat where
gf (GFloat s) = DTr [] (AF s) []
instance Fg GFloat where
fg t =
case t of
DTr [] (AF s) [] -> GFloat s
_ -> error ("no GFloat " ++ show t)
----------------------------------------------------
-- below this line machine-generated
----------------------------------------------------
data GA2 =
GDivisible
| GEqual
| GGreater
| GSmaller
deriving Show
data GAP =
GComplA2 GA2 GNP
| GConjAP GConj GAP GAP
| GEven
| GOdd
| GPrime
deriving Show
data GAnswer =
GNo
| GValue GNP
| GYes
deriving Show
data GCN =
GModCN GAP GCN
| GNumber
deriving Show
data GConj =
GAnd
| GOr
deriving Show
newtype GListPN = GListPN [GPN] deriving Show
data GNP =
GConjNP GConj GNP GNP
| GEvery GCN
| GMany GListPN
| GNone
| GSome GCN
| GUsePN GPN
deriving Show
data GPN =
GGCD GListPN
| GProduct GListPN
| GSum GListPN
| GUseInt GInt
deriving Show
data GQuestion =
GQuestS GS
| GWhatIs GPN
| GWhichAre GCN GAP
deriving Show
data GS = GPredAP GNP GAP
deriving Show
instance Gf GA2 where
gf GDivisible = DTr [] (AC (CId "Divisible")) []
gf GEqual = DTr [] (AC (CId "Equal")) []
gf GGreater = DTr [] (AC (CId "Greater")) []
gf GSmaller = DTr [] (AC (CId "Smaller")) []
instance Gf GAP where
gf (GComplA2 x1 x2) = DTr [] (AC (CId "ComplA2")) [gf x1, gf x2]
gf (GConjAP x1 x2 x3) = DTr [] (AC (CId "ConjAP")) [gf x1, gf x2, gf x3]
gf GEven = DTr [] (AC (CId "Even")) []
gf GOdd = DTr [] (AC (CId "Odd")) []
gf GPrime = DTr [] (AC (CId "Prime")) []
instance Gf GAnswer where
gf GNo = DTr [] (AC (CId "No")) []
gf (GValue x1) = DTr [] (AC (CId "Value")) [gf x1]
gf GYes = DTr [] (AC (CId "Yes")) []
instance Gf GCN where
gf (GModCN x1 x2) = DTr [] (AC (CId "ModCN")) [gf x1, gf x2]
gf GNumber = DTr [] (AC (CId "Number")) []
instance Gf GConj where
gf GAnd = DTr [] (AC (CId "And")) []
gf GOr = DTr [] (AC (CId "Or")) []
instance Gf GListPN where
gf (GListPN [x1,x2]) = DTr [] (AC (CId "BasePN")) [gf x1, gf x2]
gf (GListPN (x:xs)) = DTr [] (AC (CId "ConsPN")) [gf x, gf (GListPN xs)]
instance Gf GNP where
gf (GConjNP x1 x2 x3) = DTr [] (AC (CId "ConjNP")) [gf x1, gf x2, gf x3]
gf (GEvery x1) = DTr [] (AC (CId "Every")) [gf x1]
gf (GMany x1) = DTr [] (AC (CId "Many")) [gf x1]
gf GNone = DTr [] (AC (CId "None")) []
gf (GSome x1) = DTr [] (AC (CId "Some")) [gf x1]
gf (GUsePN x1) = DTr [] (AC (CId "UsePN")) [gf x1]
instance Gf GPN where
gf (GGCD x1) = DTr [] (AC (CId "GCD")) [gf x1]
gf (GProduct x1) = DTr [] (AC (CId "Product")) [gf x1]
gf (GSum x1) = DTr [] (AC (CId "Sum")) [gf x1]
gf (GUseInt x1) = DTr [] (AC (CId "UseInt")) [gf x1]
instance Gf GQuestion where
gf (GQuestS x1) = DTr [] (AC (CId "QuestS")) [gf x1]
gf (GWhatIs x1) = DTr [] (AC (CId "WhatIs")) [gf x1]
gf (GWhichAre x1 x2) = DTr [] (AC (CId "WhichAre")) [gf x1, gf x2]
instance Gf GS where gf (GPredAP x1 x2) = DTr [] (AC (CId "PredAP")) [gf x1, gf x2]
instance Fg GA2 where
fg t =
case t of
DTr [] (AC (CId "Divisible")) [] -> GDivisible
DTr [] (AC (CId "Equal")) [] -> GEqual
DTr [] (AC (CId "Greater")) [] -> GGreater
DTr [] (AC (CId "Smaller")) [] -> GSmaller
_ -> error ("no A2 " ++ show t)
instance Fg GAP where
fg t =
case t of
DTr [] (AC (CId "ComplA2")) [x1,x2] -> GComplA2 (fg x1) (fg x2)
DTr [] (AC (CId "ConjAP")) [x1,x2,x3] -> GConjAP (fg x1) (fg x2) (fg x3)
DTr [] (AC (CId "Even")) [] -> GEven
DTr [] (AC (CId "Odd")) [] -> GOdd
DTr [] (AC (CId "Prime")) [] -> GPrime
_ -> error ("no AP " ++ show t)
instance Fg GAnswer where
fg t =
case t of
DTr [] (AC (CId "No")) [] -> GNo
DTr [] (AC (CId "Value")) [x1] -> GValue (fg x1)
DTr [] (AC (CId "Yes")) [] -> GYes
_ -> error ("no Answer " ++ show t)
instance Fg GCN where
fg t =
case t of
DTr [] (AC (CId "ModCN")) [x1,x2] -> GModCN (fg x1) (fg x2)
DTr [] (AC (CId "Number")) [] -> GNumber
_ -> error ("no CN " ++ show t)
instance Fg GConj where
fg t =
case t of
DTr [] (AC (CId "And")) [] -> GAnd
DTr [] (AC (CId "Or")) [] -> GOr
_ -> error ("no Conj " ++ show t)
instance Fg GListPN where
fg t =
case t of
DTr [] (AC (CId "BasePN")) [x1,x2] -> GListPN [fg x1, fg x2]
DTr [] (AC (CId "ConsPN")) [x1,x2] -> let GListPN xs = fg x2 in GListPN (fg x1:xs)
_ -> error ("no ListPN " ++ show t)
instance Fg GNP where
fg t =
case t of
DTr [] (AC (CId "ConjNP")) [x1,x2,x3] -> GConjNP (fg x1) (fg x2) (fg x3)
DTr [] (AC (CId "Every")) [x1] -> GEvery (fg x1)
DTr [] (AC (CId "Many")) [x1] -> GMany (fg x1)
DTr [] (AC (CId "None")) [] -> GNone
DTr [] (AC (CId "Some")) [x1] -> GSome (fg x1)
DTr [] (AC (CId "UsePN")) [x1] -> GUsePN (fg x1)
_ -> error ("no NP " ++ show t)
instance Fg GPN where
fg t =
case t of
DTr [] (AC (CId "GCD")) [x1] -> GGCD (fg x1)
DTr [] (AC (CId "Product")) [x1] -> GProduct (fg x1)
DTr [] (AC (CId "Sum")) [x1] -> GSum (fg x1)
DTr [] (AC (CId "UseInt")) [x1] -> GUseInt (fg x1)
_ -> error ("no PN " ++ show t)
instance Fg GQuestion where
fg t =
case t of
DTr [] (AC (CId "QuestS")) [x1] -> GQuestS (fg x1)
DTr [] (AC (CId "WhatIs")) [x1] -> GWhatIs (fg x1)
DTr [] (AC (CId "WhichAre")) [x1,x2] -> GWhichAre (fg x1) (fg x2)
_ -> error ("no Question " ++ show t)
instance Fg GS where
fg t =
case t of
DTr [] (AC (CId "PredAP")) [x1,x2] -> GPredAP (fg x1) (fg x2)
_ -> error ("no S " ++ show t)

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interface LexBase = open Syntax in {
oper
even_A : A ;
odd_A : A ;
prime_A : A ;
common_A : A ;
great_A : A ;
equal_A2 : A2 ;
greater_A2 : A2 ;
smaller_A2 : A2 ;
divisible_A2 : A2 ;
number_N : N ;
sum_N2 : N2 ;
product_N2 : N2 ;
divisor_N2 : N2 ;
none_NP : NP ; ---
}

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instance LexBaseEng of LexBase = open SyntaxEng, ParadigmsEng in {
oper
even_A = mkA "even" ;
odd_A = mkA "odd" ;
prime_A = mkA "prime" ;
great_A = mkA "great" ;
common_A = mkA "common" ;
equal_A2 = mkA2 (mkA "equal") (mkPrep "to") ;
greater_A2 = mkA2 (mkA "greater") (mkPrep "than") ; ---
smaller_A2 = mkA2 (mkA "smaller") (mkPrep "than") ; ---
divisible_A2 = mkA2 (mkA "divisible") (mkPrep "by") ;
number_N = mkN "number" ;
sum_N2 = mkN2 (mkN "sum") (mkPrep "of") ;
product_N2 = mkN2 (mkN "product") (mkPrep "of") ;
divisor_N2 = mkN2 (mkN "divisor") (mkPrep "of") ;
none_NP = mkNP (mkPN "none") ; ---
}

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instance LexBaseSwe of LexBase = open SyntaxSwe, ParadigmsSwe in {
oper
even_A = mkA "jämn" ;
odd_A = invarA "udda" ;
prime_A = mkA "prim" ;
great_A = mkA "stor" "större" "störst" ;
common_A = mkA "gemensam" ;
equal_A2 = mkA2 (invarA "lika") (mkPrep "med") ;
greater_A2 = mkA2 (invarA "större") (mkPrep "än") ; ---
smaller_A2 = mkA2 (invarA "mindre") (mkPrep "än") ; ---
divisible_A2 = mkA2 (mkA "delbar") (mkPrep "med") ;
number_N = mkN "tal" "tal" ;
sum_N2 = mkN2 (mkN "summa") (mkPrep "av") ;
product_N2 = mkN2 (mkN "produkt") (mkPrep "av") ;
divisor_N2 = mkN2 (mkN "delare") (mkPrep "av") ;
none_NP = mkNP (mkPN "inget" neutrum) ; ---
invarA : Str -> A = \x -> mkA x x x x x ; ---
}

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module Logic where
data Prop =
Pred Ident [Exp]
| And Prop Prop
| Or Prop Prop
| If Prop Prop
| Not Prop
| All Prop
| Exist Prop
deriving Show
data Exp =
App Ident [Exp]
| Var Int -- de Bruijn index
deriving Show
type Ident = String
data Model a = Model {
app :: Ident -> [a] -> a,
prd :: Ident -> [a] -> Bool,
dom :: [a]
}
type Assignment a = [a]
update :: a -> Assignment a -> Assignment a
update x assign = x : assign
look :: Int -> Assignment a -> a
look i assign = assign !! i
valExp :: Model a -> Assignment a -> Exp -> a
valExp model assign exp = case exp of
App f xs -> app model f (map (valExp model assign) xs)
Var i -> look i assign
valProp :: Model a -> Assignment a -> Prop -> Bool
valProp model assign prop = case prop of
Pred f xs -> prd model f (map (valExp model assign) xs)
And a b -> v a && v b
Or a b -> v a || v b
If a b -> if v a then v b else True
Not a -> not (v a)
All p -> all (\x -> valProp model (update x assign) p) (dom model)
Exist p -> any (\x -> valProp model (update x assign) p) (dom model)
where
v = valProp model assign
liftProp :: Int -> Prop -> Prop
liftProp i p = case p of
Pred f xs -> Pred f (map liftExp xs)
And a b -> And (lift a) (lift b)
Or a b -> Or (lift a) (lift b)
If a b -> If (lift a) (lift b)
Not a -> Not (lift a)
All p -> All (liftProp (i+1) p)
Exist p -> Exist (liftProp (i+1) p)
where
lift = liftProp i
liftExp e = case e of
App f xs -> App f (map liftExp xs)
Var j -> Var (j + i)
_ -> e
-- example: initial segments of integers
intModel :: Int -> Model Int
intModel mx = Model {
app = \f xs -> case (f,xs) of
("+",_) -> sum xs
(_,[]) -> read f,
prd = \f xs -> case (f,xs) of
("E",[x]) -> even x
("<",[x,y]) -> x < y
("=",[x,y]) -> x == y
_ -> error "undefined val",
dom = [0 .. mx]
}
exModel = intModel 100
ev x = Pred "E" [x]
lt x y = Pred "<" [x,y]
eq x y = Pred "=" [x,y]
int i = App (show i) []
ex1 :: Prop
ex1 = Exist (ev (Var 0))
ex2 :: Prop
ex2 = All (Exist (lt (Var 1) (Var 0)))
ex3 :: Prop
ex3 = All (If (lt (Var 0) (int 100)) (Exist (lt (Var 1) (Var 0))))
ex4 :: Prop
ex4 = All (All (If (lt (Var 1) (Var 0)) (Not (lt (Var 0) (Var 1)))))

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module SemBase where
import GSyntax
import Logic
-- translation of Base syntax to Logic
iS :: GS -> Prop
iS s = case s of
GPredAP np ap -> iNP np (iAP ap)
GConjS c s t -> iConj c (iS s) (iS t)
iNP :: GNP -> (Exp -> Prop) -> Prop
iNP np p = case np of
GEvery cn -> All (If (iCN cn var) (liftProp 0 (p var))) ----
GSome cn -> Exist (And (iCN cn var) (p var)) ----
GConjNP c np1 np2 -> iConj c (iNP np1 p) (iNP np2 p)
GUseInt (GInt i) -> p (int i)
iAP :: GAP -> Exp -> Prop
iAP ap e = case ap of
GComplA2 a2 np -> iNP np (iA2 a2 e)
GConjAP c ap1 ap2 -> iConj c (iAP ap1 e) (iAP ap2 e)
GEven -> ev e
GOdd -> Not (ev e)
iCN :: GCN -> Exp -> Prop
iCN cn e = case cn of
GModCN ap cn0 -> And (iCN cn0 e) (iAP ap e)
GNumber -> eq e e
iConj :: GConj -> Prop -> Prop -> Prop
iConj c = case c of
GAnd -> And
GOr -> Or
iA2 :: GA2 -> Exp -> Exp -> Prop
iA2 a2 e1 e2 = case a2 of
GGreater -> lt e2 e1
GSmaller -> lt e1 e2
GEqual -> eq e1 e2
var = Var 0

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module Main where
import GSyntax
import SemBase
import Logic
import GF.GFCC.API
main :: IO ()
main = do
gr <- file2grammar "base.gfcc"
loop gr
loop :: MultiGrammar -> IO ()
loop gr = do
s <- getLine
let t:_ = parse gr "BaseEng" "S" s
putStrLn $ showTree t
let p = iS $ fg t
putStrLn $ show p
let v = valProp exModel [] p
putStrLn $ show v
loop gr

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abstract House = {
flags startcat = Utterance ;
cat
Utterance ;
Command ;
Question ;
Kind ;
Action Kind ;
Device Kind ;
Location ;
fun
UCommand : Command -> Utterance ;
UQuestion : Question -> Utterance ;
CAction : (k : Kind) -> Action k -> Device k -> Command ;
QAction : (k : Kind) -> Action k -> Device k -> Question ;
DKindOne : (k : Kind) -> Device k ;
DKindMany : (k : Kind) -> Device k ;
DLoc : (k : Kind) -> Device k -> Location -> Device k ;
light, fan : Kind ;
switchOn, switchOff : (k : Kind) -> Action k ;
dim : Action light ;
kitchen, livingRoom : Location ;
}

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--# -path=.:prelude
concrete HouseEng of House = open Prelude in {
-- grammar Toy1 from the Regulus book
flags startcat = Utterance ;
param
Number = Sg | Pl ;
VForm = VImp | VPart ;
lincat
Utterance = SS ;
Command = SS ;
Question = SS ;
Kind = {s : Number => Str} ;
Action = {s : VForm => Str ; part : Str} ;
Device = {s : Str ; n : Number} ;
Location = SS ;
lin
UCommand c = c ;
UQuestion q = q ;
CAction _ act dev = ss (act.s ! VImp ++ bothWays act.part dev.s) ;
QAction _ act dev = ss (be dev.n ++ dev.s ++ act.s ! VPart ++ act.part) ;
DKindOne k = {
s = "the" ++ k.s ! Sg ;
n = Sg
} ;
DKindMany k = {
s = "the" ++ k.s ! Pl ;
n = Pl
} ;
DLoc _ dev loc = {
s = dev.s ++ "in" ++ "the" ++ loc.s ;
n = dev.n
} ;
light = mkNoun "light" ;
fan = mkNoun "fan" ;
switchOn _ = mkVerb "switch" "switched" "on" ;
switchOff _ = mkVerb "switch" "switched" "off" ;
dim = mkVerb "dim" "dimmed" [] ;
kitchen = ss "kitchen" ;
livingRoom = ss ["living room"] ;
oper
mkNoun : Str -> {s : Number => Str} = \dog -> {
s = table {
Sg => dog ;
Pl => dog + "s"
}
} ;
mkVerb : (_,_,_ : Str) -> {s : VForm => Str ; part : Str} = \go,gone,away -> {
s = table {
VImp => go ;
VPart => gone
} ;
part = away
} ;
be : Number -> Str = \n -> case n of {
Sg => "is" ;
Pl => "are"
} ;
}

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interface LexSmart = open Syntax in {
oper
dim_V2 : V2 ;
fan_N : N ;
kitchen_N : N ;
light_N : N ;
livingRoom_N : N ;
switchOff_V2 : V2 ;
switchOn_V2 : V2 ;
}

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instance LexSmartSwe of LexSmart = open SyntaxSwe, ParadigmsSwe in {
oper
dim_V2 = mkV2 "dämpa" ;
fan_N = mkN "fläkt" ;
kitchen_N = mkN "kök" neutrum ;
light_N = mkN "lampa" ;
livingRoom_N = mkN "vardagsrum" "vardagsrummet" "vardagsrum" "vardagsrummen" ;
switchOff_V2 = mkV2 "släcker" ;
switchOn_V2 = mkV2 "tänder" ;
}

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abstract Smart = {
flags startcat = Utterance ;
cat
Utterance ;
Command ;
Question ;
Kind ;
Action Kind ;
Device Kind ;
Location ;
Switchable Kind ;
Dimmable Kind ;
Statelike (k : Kind) (Action k) ;
fun
UCommand : Command -> Utterance ;
UQuestion : Question -> Utterance ;
CAction : (k : Kind) -> Action k -> Device k -> Command ;
QAction : (k : Kind) -> (a : Action k) -> Statelike k a -> Device k -> Question ;
DKindOne : (k : Kind) -> Device k ;
DKindMany : (k : Kind) -> Device k ;
DLoc : (k : Kind) -> Device k -> Location -> Device k ;
light, fan : Kind ;
switchOn, switchOff : (k : Kind) -> Switchable k -> Action k ;
dim : (k : Kind) -> Dimmable k -> Action k ;
kitchen, livingRoom : Location ;
-- proof objects
switchable_light : Switchable light ;
switchable_fan : Switchable fan ;
dimmable_light : Dimmable light ;
statelike_switchOn : (k : Kind) -> (s : Switchable k) -> Statelike k (switchOn k s) ;
statelike_switchOff : (k : Kind) -> (s : Switchable k) -> Statelike k (switchOff k s) ;
}

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--# -path=.:prelude
concrete Toy1Eng of Toy1 = open Prelude in {
-- grammar Toy1 from the Regulus book
flags startcat = Utterance ;
param
Number = Sg | Pl ;
VForm = VImp | VPart ;
lincat
Utterance = SS ;
Command = SS ;
Question = SS ;
Kind = {s : Number => Str} ;
Action = {s : VForm => Str ; part : Str} ;
Device = {s : Str ; n : Number} ;
Location = SS ;
lin
UCommand c = c ;
UQuestion q = q ;
CAction _ act dev = ss (act.s ! VImp ++ bothWays act.part dev.s) ;
QAction _ act st dev = ss (be dev.n ++ dev.s ++ act.s ! VPart ++ act.part ++ st.s) ;
DKindOne k = {
s = "the" ++ k.s ! Sg ;
n = Sg
} ;
DKindMany k = {
s = "the" ++ k.s ! Pl ;
n = Pl
} ;
DLoc _ dev loc = {
s = dev.s ++ "in" ++ "the" ++ loc.s ;
n = dev.n
} ;
light = mkNoun "light" ;
fan = mkNoun "fan" ;
switchOn _ _ = mkVerb "switch" "swithced" "on" ;
switchOff _ _ = mkVerb "switch" "swithced" "off" ;
dim _ _ = mkVerb "dim" "dimmed" [] ;
kitchen = ss "kitchen" ;
livingRoom = ss ["living room"] ;
oper
mkNoun : Str -> {s : Number => Str} = \dog -> {
s = table {
Sg => dog ;
Pl => dog + "s"
}
} ;
mkVerb : (_,_,_ : Str) -> {s : VForm => Str ; part : Str} = \go,gone,away -> {
s = table {
VImp => go ;
VPart => gone
} ;
part = away
} ;
be : Number -> Str = \n -> case n of {
Sg => "is" ;
Pl => "are"
} ;
hidden : SS = ss [] ;
lin
switchable_light = hidden ;
switchable_fan = hidden ;
dimmable_light = hidden ;
statelike_switchOn _ _ = hidden ;
statelike_switchOff _ _ = hidden ;
}

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--# -path=.:prelude
concrete Toy1Fre of Toy1 = open Prelude in {
-- grammar Toy1 from the Regulus book
flags startcat = Utterance ;
param
Number = Sg | Pl ;
Gender = Masc | Fem ;
VForm = VInf | VPart Gender Number ;
lincat
Utterance = SS ;
Command = SS ;
Question = SS ;
Kind = {s : Number => Str ; g : Gender} ;
Action = {s : VForm => Str} ;
Device = {s : Str ; g : Gender ; n : Number} ;
Location = {s : Number => Str ; g : Gender} ;
lin
UCommand c = c ;
UQuestion q = q ;
CAction _ act dev = ss (act.s ! VInf ++ dev.s) ;
QAction _ act st dev =
ss (dev.s ++ est dev.g dev.n ++ act.s ! VPart dev.g dev.n ++ st.s) ;
DKindOne k = {
s = defArt k.g ++ k.s ! Sg ;
g = k.g ;
n = Sg
} ;
DKindMany k = {
s = "les" ++ k.s ! Pl ;
g = k.g ;
n = Pl
} ;
DLoc _ dev loc = {
s = dev.s ++ "dans" ++ defArt loc.g ++ loc.s ! Sg ;
g = dev.g ;
n = dev.n
} ;
light = mkNoun "lampe" Fem ;
fan = mkNoun "ventilateur" Masc ;
switchOn _ _ = mkVerb "allumer" "allumé" ;
switchOff _ _ = mkVerb "éteindre" "éteint" ;
dim _ _ = mkVerb "baisser" "baissé" ;
kitchen = mkNoun "cuisine" Fem ;
livingRoom = mkNoun "salon" Masc ;
oper
mkNoun : Str -> Gender -> {s : Number => Str ; g : Gender} = \dog,g -> {
s = table {
Sg => dog ;
Pl => dog + "s"
} ;
g = g
} ;
mkVerb : (_,_ : Str) -> {s : VForm => Str} = \venir,venu -> {
s = table {
VInf => venir ;
VPart Masc Sg => venu ;
VPart Masc Pl => venu + "s" ;
VPart Fem Sg => venu + "e" ;
VPart Fem Pl => venu + "es"
}
} ;
est : Gender -> Number -> Str = \g,n -> case <g,n> of {
<Masc,Sg> => "est-il" ;
<Fem, Sg> => "est-elle" ;
<Masc,Pl> => "sont-ils" ;
<Fem, Pl> => "sont-elles"
} ;
defArt : Gender -> Str = \g -> case g of {Masc => "le" ; Fem => "la"} ;
lin
switchable_light = ss [] ;
switchable_fan = ss [] ;
dimmable_light = ss [] ;
statelike_switchOn _ _ = ss [] ;
statelike_switchOff _ _ = ss [] ;
}

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--# -path=.:present:prelude
incomplete concrete SmartI of Smart = open Syntax, LexSmart, Prelude in {
-- grammar Toy1 from the Regulus book
flags startcat = Utterance ;
lincat
Utterance = Utt ;
Command = Imp ;
Question = QS ;
Kind = N ;
Action = V2 ;
Device = NP ;
Location = N ;
lin
UCommand c = mkUtt politeImpForm c ;
UQuestion q = mkUtt q ;
CAction _ act dev = mkImp act dev ;
QAction _ act st dev =
mkQS anteriorAnt (mkQCl (mkCl dev (passiveVP act))) ; ---- show empty proof
DKindOne k = mkNP defSgDet k ;
DKindMany k = mkNP defPlDet k ;
DLoc _ dev loc = mkNP dev (mkAdv in_Prep (mkNP defSgDet loc)) ;
light = light_N ;
fan = fan_N ;
switchOn _ _ = switchOn_V2 ;
switchOff _ _ = switchOff_V2 ;
dim _ _ = dim_V2 ;
kitchen = kitchen_N ;
livingRoom = livingRoom_N ;
lin
switchable_light = ss [] ;
switchable_fan = ss [] ;
dimmable_light = ss [] ;
statelike_switchOn _ _ = ss [] ;
statelike_switchOff _ _ = ss [] ;
}

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--# -path=.:alltenses:prelude
concrete SmartSwe of Smart = SmartI with
(Syntax = SyntaxSwe),
(LexSmart = LexSmartSwe) ;

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--# -path=.:../foods:prelude
concrete FoodsEng of Foods = FoodsI with
(Syntax = SyntaxEng),
(Test = TestEng) ;

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incomplete concrete FoodsI of Foods = open Syntax, Test in {
lincat
Phrase = S ;
Item = NP ;
Kind = CN ;
Quality = AP ;
lin
Is = mkS ;
This = mkNP this_Det ;
That = mkNP that_Det ;
These = mkNP these_Det ;
Those = mkNP those_Det ;
QKind = mkCN ;
Very = mkAP very_AdA ;
Wine = mkCN wine_N ;
Pizza = mkCN pizza_N ;
Cheese = mkCN cheese_N ;
Fish = mkCN fish_N ;
Fresh = mkAP fresh_A ;
Warm = mkAP warm_A ;
Italian = mkAP italian_A ;
Expensive = mkAP expensive_A ;
Delicious = mkAP delicious_A ;
Boring = mkAP boring_A ;
}

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--# -path=.:../foods:prelude
concrete FoodsIta of Foods = FoodsI with
(Syntax = SyntaxIta),
(Test = TestIta) ;

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abstract Grammar = {
flags startcat=Phr ;
cat
Phr ; -- any complete sentence e.g. "Is this pizza good?"
S ; -- declarative sentence e.g. "this pizza is good"
QS ; -- question sentence e.g. "is this pizza good"
Cl ; -- declarative clause e.g. "this pizza is good"
QCl ; -- question clause e.g. "is this pizza good"
NP ; -- noun phrase e.g. "this pizza"
IP ; -- interrogative phrase e.g "which pizza"
CN ; -- common noun phrase e.g. "very good pizza"
Det ; -- determiner e.g. "this"
IDet ; -- interrog. determiner e.g. "which"
AP ; -- adjectival phrase e.g. "very good"
Adv ; -- adverb e.g. "today"
AdA ; -- adadjective e.g. "very"
VP ; -- verb phrase e.g. "is good"
N ; -- noun e.g. "pizza"
A ; -- adjective e.g. "good"
V ; -- intransitive verb e.g. "boil"
V2 ; -- two-place verb e.g. "eat"
Pol ; -- polarity (pos or neg)
Conj ; -- conjunction e.g. "and"
Subj ; -- conjunction e.g. "because"
fun
PhrS : S -> Phr ;
PhrQS : QS -> Phr ;
UseCl : Pol -> Cl -> S ;
UseQCl : Pol -> QCl -> QS ;
QuestCl : Cl -> QCl ;
SubjS : Subj -> S -> Adv ;
PredVP : NP -> VP -> Cl ;
QuestVP : IP -> VP -> QCl ;
QuestV2 : IP -> NP -> V2 -> QCl ;
ComplV2 : V2 -> NP -> VP ;
ComplAP : AP -> VP ;
DetCN : Det -> CN -> NP ;
ModCN : AP -> CN -> CN ;
AdVP : Adv -> VP -> VP ;
AdAP : AdA -> AP -> AP ;
IDetCN : IDet -> CN -> IP ;
ConjS : Conj -> S -> S -> S ;
ConjNP : Conj -> NP -> NP -> NP ;
-- lexical insertion
UseN : N -> CN ;
UseA : A -> AP ;
UseV : V -> VP ;
-- entries of the closed lexicon
this_Det : Det ;
that_Det : Det ;
these_Det : Det ;
those_Det : Det ;
every_Det : Det ;
theSg_Det : Det ;
thePl_Det : Det ;
indef_Det : Det ;
plur_Det : Det ;
two_Det : Det ;
which_IDet : IDet ;
today_Adv : Adv ;
very_AdA : AdA ;
and_Conj : Conj ;
because_Subj : Subj ;
-- polarities
PPos, PNeg : Pol ;
}

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--# -path=.:prelude
concrete GrammarEng of Grammar = open Prelude, MorphoEng in {
lincat
Phr = {s : Str} ;
S = {s : Str} ;
QS = {s : Str} ;
Cl = {s : Order => Bool => Str} ;
QCl = {s : Order => Bool => Str} ;
NP = NounPhrase ;
IP = NounPhrase ;
CN = Noun ;
Det = {s : Str ; n : Number} ;
IDet = {s : Str ; n : Number} ;
AP = {s : Str} ;
Adv = {s : Str} ;
AdA = {s : Str} ;
VP = VerbPhrase ;
N = Noun ;
A = {s : Str} ;
V = Verb ;
V2 = Verb2 ;
Conj = {s : Str} ;
Subj = {s : Str} ;
Pol = {s : Str ; p : Bool} ;
lin
PhrS = postfixSS "." ;
PhrQS = postfixSS "?" ;
UseCl pol cl = {s = pol.s ++ cl.s ! Dir ! pol.p} ;
UseQCl pol qcl = {s = pol.s ++ qcl.s ! Inv ! pol.p} ;
QuestCl cl = cl ;
SubjS subj s = {s = subj.s ++ s.s} ;
PredVP = predVP ;
QuestVP ip vp = let cl = predVP ip vp in {s = \\_ => cl.s ! Dir};
QuestV2 ip np v2 = {
s = \\ord,pol =>
let
vp : VerbPhrase = predVerb v2
in
bothWays (ip.s ++ (predVP np vp).s ! ord ! pol) v2.c
} ;
ComplV2 v np = insertObject (v.c ++ np.s) (predVerb v) ;
ComplAP ap = {
s = \\_,b,n => {
fin = copula b n ;
inf = ap.s
}
} ;
DetCN det cn = {s = det.s ++ cn.s ! det.n ; n = det.n} ;
ModCN ap cn = {s = \\n => ap.s ++ cn.s ! n} ;
AdVP adv = insertObject adv.s ;
AdAP ada ap = {s = ada.s ++ ap.s} ;
IDetCN det cn = {s = det.s ++ cn.s ! det.n ; n = det.n} ;
ConjS c a b = {s = a.s ++ c.s ++ b.s} ;
ConjNP c a b = {s = a.s ++ c.s ++ b.s ; n = Pl} ;
UseN n = n ;
UseA a = a ;
UseV = predVerb ;
this_Det = {s = "this" ; n = Sg} ;
that_Det = {s = "that" ; n = Sg} ;
these_Det = {s = "these" ; n = Pl} ;
those_Det = {s = "those" ; n = Pl} ;
every_Det = {s = "every" ; n = Sg} ;
theSg_Det = {s = "the" ; n = Sg} ;
thePl_Det = {s = "the" ; n = Pl} ;
indef_Det = {s = artIndef ; n = Sg} ;
plur_Det = {s = [] ; n = Pl} ;
two_Det = {s = "two" ; n = Pl} ;
today_Adv = {s = "today"} ;
very_AdA = {s = "very"} ;
which_IDet = {s = "which" ; n = Sg} ;
and_Conj = {s = "and"} ;
because_Subj = {s = "because"} ;
PPos = {s = [] ; p = True} ;
PNeg = {s = [] ; p = False} ;
param
Order = Dir | Inv ;
oper
NounPhrase = {s : Str ; n : Number} ;
VerbPhrase = {s : Order => Bool => Number => {fin,inf : Str}} ;
predVP : NounPhrase -> VerbPhrase -> {s : Order => Bool => Str} =
\np,vp -> {
s = \\q,p =>
let vps = vp.s ! q ! p ! np.n
in case q of {
Dir => np.s ++ vps.fin ++ vps.inf ;
Inv => vps.fin ++ np.s ++ vps.inf
}
} ;
copula : Bool -> Number -> Str = \b,n -> case n of {
Sg => posneg b "is" ;
Pl => posneg b "are"
} ;
do : Bool -> Number -> Str = \b,n ->
posneg b ((mkV "do").s ! n) ;
predVerb : Verb -> VerbPhrase = \verb -> {
s = \\q,b,n =>
let
inf = verb.s ! Pl ;
fin = verb.s ! n ;
aux = do b n
in
case <q,b> of {
<Dir,True> => {fin = [] ; inf = fin} ;
_ => {fin = aux ; inf = inf}
}
} ;
insertObject : Str -> VerbPhrase -> VerbPhrase =
\obj,vp -> {
s = \\q,b,n => let vps = vp.s ! q ! b! n in {
fin = vps.fin ;
inf = vps.inf ++ obj
}
} ;
posneg : Bool -> Str -> Str = \b,do -> case b of {
True => do ;
False => do + "n't"
} ;
artIndef : Str =
pre {"a" ; "an" / strs {"a" ; "e" ; "i" ; "o"}} ;
}

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--# -path=.:prelude
concrete GrammarIta of Grammar = open Prelude, MorphoIta in {
lincat
Phr = {s : Str} ;
S = {s : Str} ;
QS = {s : Str} ;
Cl = Clause ;
QCl = Clause ;
NP = NounPhrase ;
IP = NounPhrase ;
CN = Noun ;
Det = {s : Gender => Str ; n : Number} ;
IDet = {s : Gender => Str ; n : Number} ;
AP = {s : Gender => Number => Str} ;
AdA = {s : Str} ;
VP = VerbPhrase ;
N = Noun ;
A = Adjective ;
V = Verb ;
V2 = Verb2 ;
Conj = {s : Str} ;
Subj = {s : Str} ;
Pol = {s : Str ; p : Bool} ;
oper
Clause : Type = {s : Bool => Str} ;
NounPhrase : Type = {s : Str ; g : Gender ; n : Number} ;
VerbPhrase : Type = {s : Bool => Gender => Number => Str} ;
lin
PhrS = postfixSS "." ;
PhrQS = postfixSS "?" ;
UseCl pol cl = {s = pol.s ++ cl.s ! pol.p} ;
UseQCl pol qcl = {s = pol.s ++ qcl.s ! pol.p} ;
QuestCl cl = cl ;
SubjS subj s = {s = subj.s ++ s.s} ;
PredVP = predVP ;
QuestVP = predVP ;
QuestV2 ip np v2 =
{s = \\b => v2.c ++ ip.s ++ posneg b ++ v2.s ! np.n ++ np.s} ;
ComplV2 v2 np = {s = \\b,_,n => posneg b ++ v2.s ! n ++ v2.c ++ np.s} ;
ComplAP ap = {s = \\b,g,n => posneg b ++ copula n ++ ap.s ! g ! n} ;
DetCN det cn = {s = det.s ! cn.g ++ cn.s ! det.n ; g = cn.g ; n = det.n} ;
ModCN ap cn = {s = \\n => cn.s ! n ++ ap.s ! cn.g ! n ; g = cn.g} ;
AdVP adv vp = {s = \\p,n,g => vp.s ! p ! n ! g ++ adv.s} ;
AdAP ada ap = {s = \\n,g => ada.s ++ ap.s ! n ! g} ;
IDetCN det cn = {s = det.s ! cn.g ++ cn.s ! det.n ; g = cn.g ; n = det.n} ;
ConjS c a b = {s = a.s ++ c.s ++ b.s} ;
ConjNP c a b = {s = a.s ++ c.s ++ b.s ; n = Pl ; g = conjGender a.g b.g} ;
UseN n = n ;
UseA a = a ;
UseV v = {s = \\b,_,n => posneg b ++ v.s ! n} ;
this_Det = mkDet Sg (regAdjective "questo") ;
that_Det = mkDet Sg (regAdjective "quello") ;
these_Det = mkDet Pl (regAdjective "questo") ;
those_Det = mkDet Pl (regAdjective "quello") ;
every_Det = {s = \\_ => "ogni" ; n = Sg} ;
theSg_Det = {s = artDef Sg ; n = Sg} ;
thePl_Det = {s = artDef Pl ; n = Pl} ;
indef_Det = {s = artIndef ; n = Sg} ;
plur_Det = {s = \\_ => [] ; n = Pl} ;
two_Det = {s = \\_ => "due" ; n = Pl} ;
today_Adv = {s = "oggi"} ;
very_AdA = {s = "molto"} ;
which_IDet = {s = \\_ => "quale" ; n = Sg} ;
and_Conj = {s = "e"} ;
because_Subj = {s = "perché"} ;
PPos = {s = [] ; p = True} ;
PNeg = {s = [] ; p = False} ;
oper
predVP : NounPhrase -> VerbPhrase -> Clause = \np,vp ->
{s = \\b => np.s ++ vp.s ! b ! np.g ! np.n} ;
copula : Number -> Str = \n -> case n of {
Sg => "è" ;
Pl => "sono"
} ;
posneg : Bool -> Str = \b -> case b of {
True => [] ;
False => "non"
} ;
mkDet : Number -> Adjective -> Det = \n,adj -> {
s = \\g => adj.s ! g ! n ;
n = n ;
lock_Det = <>
} ;
artDef : Number -> Gender => Str = \n -> case n of {
Sg => table {
Masc => pre {"il" ; "lo" / sImpuro} ;
Fem => "la"
} ;
Pl => table {
Masc => pre {"i" ; "gli" / sImpuro ; "gli" / vowel} ;
Fem => "le"
}
} ;
artIndef : Gender => Str = table {
Masc => pre {"un" ; "uno" / sImpuro} ;
Fem => pre {"una" ; "un'" / vowel}
} ;
conjGender : Gender -> Gender -> Gender = \g,h -> case g of {
Masc => Masc ;
_ => h
} ;
sImpuro : Strs = strs {"sb" ; "sp" ; "sy" ; "z"} ;
vowel : Strs = strs {"a" ; "e" ; "i" ; "o" ; "u"} ;
}

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--# -path=.:prelude
resource MorphoEng = open Prelude in {
-- the lexicon construction API
oper
mkN : overload {
mkN : (bus : Str) -> Noun ;
mkN : (man,men : Str) -> Noun ;
} ;
mkA : (warm : Str) -> Adjective ;
mkV : overload {
mkV : (kiss : Str) -> Verb ;
mkV : (do,does : Str) -> Verb ;
} ;
mkV2 : overload {
mkV2 : (love : Verb) -> Verb2 ;
mkV2 : (talk : Verb) -> (about : Str) -> Verb2 ;
} ;
-- grammar-internal definitions
param
Number = Sg | Pl ;
oper
Noun, Verb : Type = {s : Number => Str} ;
Adjective : Type = {s : Str} ;
Verb2 : Type = Verb ** {c : Str} ;
mkN = overload {
mkN : (bus : Str) -> Noun = \s -> mkNoun s (add_s s) ;
mkN : (man,men : Str) -> Noun = mkNoun ;
} ;
mkA : (warm : Str) -> Adjective = ss ;
mkV = overload {
mkV : (kiss : Str) -> Verb = \s -> mkVerb s (add_s s) ;
mkV : (do,does : Str) -> Verb = mkVerb ;
} ;
mkV2 = overload {
mkV2 : (love : Verb) -> Verb2 = \love -> love ** {c = []} ;
mkV2 : (talk : Verb) -> (about : Str) -> Verb2 =
\talk,about -> talk ** {c = about} ;
} ;
add_s : Str -> Str = \w -> case w of {
_ + "oo" => w + "s" ; -- bamboo
_ + ("s" | "z" | "x" | "sh" | "o") => w + "es" ; -- bus, hero
_ + ("a" | "o" | "u" | "e") + "y" => w + "s" ; -- boy
x + "y" => x + "ies" ; -- fly
_ => w + "s" -- car
} ;
mkNoun : Str -> Str -> Noun = \x,y -> {
s = table {
Sg => x ;
Pl => y
}
} ;
mkVerb : Str -> Str -> Verb = \x,y -> mkNoun y x ;
}

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--# -path=.:prelude
-- This is a simple Italian resource morphology for the GF tutorial.
resource MorphoIta = open Prelude in {
-- the lexicographer's API
oper
masculine, feminine : Gender ;
param
Number = Sg | Pl ;
Gender = Masc | Fem ;
oper
Noun : Type = {s : Number => Str ; g : Gender} ;
Adjective : Type = {s : Gender => Number => Str} ;
-- we will only use present indicative third person verb forms
Verb : Type = {s : Number => Str} ;
-- two-place verbs have a preposition
Verb2 : Type = Verb ** {c : Str} ;
-- this function takes the gender and both singular and plural forms
mkNoun : Gender -> Str -> Str -> Noun = \g,vino,vini -> {
s = table {
Sg => vino ;
Pl => vini
} ;
g = g
} ;
-- this function takes the singular form
regNoun : Str -> Noun = \vino ->
case vino of {
vin + c@("c" | "g") + "a"
=> mkNoun Fem vino (vin + c + "he") ; -- banche
vin + "a"
=> mkNoun Fem vino (vin + "e") ; -- pizza
vin + c@("c" | "g") + "o"
=> mkNoun Masc vino (vin + c + "hi") ; -- boschi
vin + ("o" | "e")
=> mkNoun Masc vino (vin + "i") ; -- vino, pane
_ => mkNoun Masc vino vino -- tram
} ;
-- to make nouns such as "carne", "università" feminine
femNoun : Noun -> Noun = \mano -> {
s = mano.s ;
g = Fem
} ;
-- this takes both genders and numbers
mkAdjective : (x1,_,_,x4 : Str) -> Adjective = \nero,nera,neri,nere -> {
s = table {
Masc => (mkNoun Masc nero neri).s ;
Fem => (mkNoun Fem nera nere).s
}
} ;
-- this takes the masculine singular form
regAdjective : Str -> Adjective = \nero ->
let ner = init nero in
case last nero of {
"o" => mkAdjective (ner + "o") (ner + "a") (ner + "i") (ner + "e") ;
"e" => mkAdjective (ner + "e") (ner + "e") (ner + "i") (ner + "i") ;
_ => mkAdjective nero nero nero nero
} ;
-- this function takes the singular and plural forms
mkVerb : Str -> Str -> Verb = \ama,amano -> {
s = table {
Sg => ama ;
Pl => amano
}
} ;
-- this function takes the infinitive form
regVerb : Str -> Verb = \amare ->
let am = Predef.tk 3 amare in
case Predef.dp 3 amare of {
"ere" => mkVerb (am + "e") (am + "ono") ; -- premere
"ire" => mkVerb (am + "isce") (am + "iscono") ; -- finire
_ => mkVerb (am + "a") (am + "ano") -- amare
} ;
}

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interface Syntax = open Prelude, Grammar in {
oper
mkPhr = overload {
mkPhr : S -> Phr
= PhrS ;
mkPhr : QS -> Phr
= PhrQS ;
} ;
mkS = overload {
mkS : Pol -> NP -> VP -> S
= PredVP ;
mkS : NP -> VP -> S
= PredVP PPos ;
mkS : Pol -> NP -> V2 -> NP -> S
= \p,np,v,o -> PredVP p np (ComplV2 v o) ;
mkS : NP -> V2 -> NP -> S
= \np,v,o -> PredVP PPos np (ComplV2 v o) ;
mkS : Pol -> NP -> AP -> S
= \p,np,ap -> PredVP p np (ComplAP ap) ;
mkS : NP -> AP -> S
= \np,ap -> PredVP PPos np (ComplAP ap) ;
} ;
mkNP : Det -> CN -> NP
= DetCN ;
mkCN = overload {
mkCN : AP -> CN -> CN
= ModCN ;
mkCN : N -> CN
= UseN ;
} ;
mkAP = overload {
mkAP : AdA -> AP -> AP
= AdAP ;
mkAP : A -> AP
= UseA ;
} ;
}

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--# -path=.:resource:prelude
instance SyntaxEng of Syntax = open Prelude, GrammarEng in {} ;

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--# -path=.:resource:prelude
instance SyntaxIta of Syntax = open Prelude, GrammarIta in {} ;

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abstract Test = Grammar ** {
fun
wine_N, cheese_N, fish_N, pizza_N, waiter_N, customer_N : N ;
fresh_A, warm_A, italian_A, expensive_A, delicious_A, boring_A : A ;
stink_V : V ;
eat_V2, love_V2, talk_V2 : V2 ;
}

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--# -path=.:resource:prelude
concrete TestEng of Test = GrammarEng ** open Prelude, MorphoEng in {
lin
wine_N = mkN "wine" ;
cheese_N = mkN "cheese" ;
fish_N = mkN "fish" "fish" ;
pizza_N = mkN "pizza" ;
waiter_N = mkN "waiter" ;
customer_N = mkN "customer" ;
fresh_A = mkA "fresh" ;
warm_A = mkA "warm" ;
italian_A = mkA "Italian" ;
expensive_A = mkA "expensive" ;
delicious_A = mkA "delicious" ;
boring_A = mkA "boring" ;
stink_V = mkV "stink" ;
eat_V2 = mkV2 (mkV "eat") ;
love_V2 = mkV2 (mkV "love") ;
talk_V2 = mkV2 (mkV "talk") "about" ;
}

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--# -path=.:resource:prelude
concrete TestIta of Test = GrammarIta ** open Prelude, MorphoIta in {
lin
wine_N = regNoun "vino" ;
cheese_N = regNoun "formaggio" ;
fish_N = regNoun "pesce" ;
pizza_N = regNoun "pizza" ;
waiter_N = regNoun "cameriere" ;
customer_N = regNoun "cliente" ;
fresh_A = regAdjective "fresco" ;
warm_A = regAdjective "caldo" ;
italian_A = regAdjective "italiano" ;
expensive_A = regAdjective "caro" ;
delicious_A = regAdjective "delizioso" ;
boring_A = regAdjective "noioso" ;
stink_V = regVerb "puzzare" ;
eat_V2 = regVerb "mangiare" ** {c = []} ;
love_V2 = regVerb "amare" ** {c = []} ;
talk_V2 = regVerb "parlare" ** {c = "di"} ;
}