mirror of
https://github.com/GrammaticalFramework/gf-core.git
synced 2026-04-09 13:09:33 -06:00
semantics extended to questions
This commit is contained in:
@@ -12,9 +12,10 @@ main = do
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loop :: MultiGrammar -> IO ()
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loop gr = do
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s <- getLine
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let t:_ = parse gr "BaseEng" "S" s
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putStrLn $ showTree t
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let p = iS $ fg t
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putStrLn $ show p
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case parse gr "BaseEng" "Question" s of
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[] -> putStrLn "no parse"
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ts -> mapM_ answer ts
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loop gr
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where
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answer t = putStrLn $ linearize gr "BaseEng" $ gf $ question2answer $ fg t
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@@ -5,7 +5,7 @@ import GSyntax
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-- interpretation of Base
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type Prop = Bool
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type Exp = Int
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type Ent = Int
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domain = [0 .. 100]
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iS :: GS -> Prop
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@@ -13,21 +13,31 @@ iS s = case s of
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GPredAP np ap -> iNP np (iAP ap)
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GConjS c s t -> iConj c (iS s) (iS t)
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iNP :: GNP -> (Exp -> Prop) -> Prop
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iNP :: GNP -> (Ent -> Prop) -> Prop
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iNP np p = case np of
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GEvery cn -> all (\x -> not (iCN cn x) || p x) domain
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GSome cn -> any (\x -> iCN cn x && p x) domain
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GNone cn -> not (any (\x -> iCN cn x && p x) domain)
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GMany pns -> and (map p (iListPN pns))
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GConjNP c np1 np2 -> iConj c (iNP np1 p) (iNP np2 p)
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GUseInt (GInt i) -> p (fromInteger i)
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GUsePN a -> p (iPN a)
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iAP :: GAP -> Exp -> Prop
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iPN :: GPN -> Ent
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iPN pn = case pn of
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GUseInt i -> iInt i
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GSum pns -> sum (iListPN pns)
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GProduct pns -> product (iListPN pns)
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GGCD pns -> foldl1 gcd (iListPN pns)
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iAP :: GAP -> Ent -> Prop
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iAP ap e = case ap of
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GComplA2 a2 np -> iNP np (iA2 a2 e)
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GConjAP c ap1 ap2 -> iConj c (iAP ap1 e) (iAP ap2 e)
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GEven -> even e
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GOdd -> not (even e)
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GEven -> even e
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GOdd -> odd e
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GPrime -> prime e
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iCN :: GCN -> Exp -> Prop
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iCN :: GCN -> Ent -> Prop
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iCN cn e = case cn of
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GModCN ap cn0 -> (iCN cn0 e) && (iAP ap e)
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GNumber -> True
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@@ -37,8 +47,45 @@ iConj c = case c of
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GAnd -> (&&)
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GOr -> (||)
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iA2 :: GA2 -> Exp -> Exp -> Prop
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iA2 :: GA2 -> Ent -> Ent -> Prop
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iA2 a2 e1 e2 = case a2 of
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GGreater -> e1 > e1
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GGreater -> e1 > e2
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GSmaller -> e1 < e2
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GEqual -> e1 == e2
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GDivisible -> e2 /= 0 && mod e1 e2 == 0
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iListPN :: GListPN -> [Ent]
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iListPN gls = case gls of
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GListPN pns -> map iPN pns
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iInt :: GInt -> Ent
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iInt gi = case gi of
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GInt i -> fromInteger i
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-- questions and answers
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iQuestion :: GQuestion -> Either Bool [Ent]
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iQuestion q = case q of
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GWhatIs pn -> Right [iPN pn] -- computes the value
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GWhichAre cn ap -> Right [e | e <- domain, iCN cn e, iAP ap e]
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GQuestS s -> Left (iS s)
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question2answer :: GQuestion -> GAnswer
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question2answer q = case iQuestion q of
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Left True -> GYes
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Left False -> GNo
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Right [] -> GValue (GNone GNumber)
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Right [v] -> GValue (GUsePN (ent2pn v))
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Right vs -> GValue (GMany (GListPN (map ent2pn vs)))
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ent2pn :: Ent -> GPN
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ent2pn e = GUseInt (GInt (toInteger e))
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-- auxiliary
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prime :: Int -> Bool
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prime x = elem x primes where
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primes = sieve [2 .. x]
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sieve (p:xs) = p : sieve [ n | n <- xs, n `mod` p > 0 ]
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sieve [] = []
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@@ -5,11 +5,14 @@ abstract Base = {
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cat
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S ;
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NP ;
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PN ;
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CN ;
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AP ;
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A2 ;
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Conj ;
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fun
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-- sentence syntax
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PredAP : NP -> AP -> S ;
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ComplA2 : A2 -> NP -> AP ;
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@@ -20,18 +23,39 @@ fun
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ConjAP : Conj -> AP -> AP -> AP ;
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ConjNP : Conj -> NP -> NP -> NP ;
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UsePN : PN -> NP ;
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Every : CN -> NP ;
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Some : CN -> NP ;
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None : CN -> NP ;
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And, Or : Conj ;
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-- lexicon
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UseInt : Int -> NP ;
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UseInt : Int -> PN ;
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Number : CN ;
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Even, Odd, Prime : AP ;
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Equal, Greater, Smaller, Divisible : A2 ;
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}
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Sum, Product, GCD : ListPN -> PN ;
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-- adding questions
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cat
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Question ;
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Answer ;
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ListPN ;
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fun
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WhatIs : PN -> Question ;
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WhichAre : CN -> AP -> Question ;
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QuestS : S -> Question ;
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Yes : Answer ;
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No : Answer ;
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Value : NP -> Answer ;
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Many : ListPN -> NP ;
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BasePN : PN -> PN -> ListPN ;
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ConsPN : PN -> ListPN -> ListPN ;
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}
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@@ -17,8 +17,10 @@ lin
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ConjAP c = infixSS c.s ;
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ConjNP c = infixSS c.s ;
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UsePN a = a ;
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Every = prefixSS "every" ;
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Some = prefixSS "some" ;
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None = prefixSS "no" ;
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And = ss "and" ;
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Or = ss "or" ;
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@@ -35,4 +37,21 @@ lin
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Smaller = ss ("smaller" ++ "than") ;
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Divisible = ss ("divisible" ++ "by") ;
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Sum = prefixSS ["the sum of"] ;
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Product = prefixSS ["the product of"] ;
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GCD = prefixSS ["the greatest common divisor of"] ;
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WhatIs = prefixSS ["what is"] ;
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WhichAre cn ap = ss ("which" ++ cn.s ++ "is" ++ ap.s) ; ---- are
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QuestS s = s ; ---- inversion
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Yes = ss "yes" ;
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No = ss "no" ;
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Value np = np ;
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Many list = list ;
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BasePN = infixSS "and" ;
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ConsPN = infixSS "," ;
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}
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@@ -61,6 +61,12 @@ data GAP =
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| GPrime
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deriving Show
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data GAnswer =
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GNo
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| GValue GNP
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| GYes
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deriving Show
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data GCN =
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GModCN GAP GCN
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| GNumber
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@@ -71,13 +77,30 @@ data GConj =
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| GOr
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deriving Show
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newtype GListPN = GListPN [GPN] deriving Show
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data GNP =
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GConjNP GConj GNP GNP
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| GEvery GCN
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| GMany GListPN
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| GNone GCN
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| GSome GCN
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| GUsePN GPN
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deriving Show
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data GPN =
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GGCD GListPN
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| GProduct GListPN
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| GSum GListPN
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| GUseInt GInt
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deriving Show
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data GQuestion =
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GQuestS GS
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| GWhatIs GPN
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| GWhichAre GCN GAP
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deriving Show
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data GS =
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GConjS GConj GS GS
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| GPredAP GNP GAP
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@@ -97,6 +120,11 @@ instance Gf GAP where
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gf GOdd = DTr [] (AC (CId "Odd")) []
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gf GPrime = DTr [] (AC (CId "Prime")) []
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instance Gf GAnswer where
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gf GNo = DTr [] (AC (CId "No")) []
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gf (GValue x1) = DTr [] (AC (CId "Value")) [gf x1]
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gf GYes = DTr [] (AC (CId "Yes")) []
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instance Gf GCN where
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gf (GModCN x1 x2) = DTr [] (AC (CId "ModCN")) [gf x1, gf x2]
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gf GNumber = DTr [] (AC (CId "Number")) []
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@@ -105,12 +133,29 @@ instance Gf GConj where
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gf GAnd = DTr [] (AC (CId "And")) []
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gf GOr = DTr [] (AC (CId "Or")) []
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instance Gf GListPN where
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gf (GListPN [x1,x2]) = DTr [] (AC (CId "BasePN")) [gf x1, gf x2]
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gf (GListPN (x:xs)) = DTr [] (AC (CId "ConsPN")) [gf x, gf (GListPN xs)]
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instance Gf GNP where
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gf (GConjNP x1 x2 x3) = DTr [] (AC (CId "ConjNP")) [gf x1, gf x2, gf x3]
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gf (GEvery x1) = DTr [] (AC (CId "Every")) [gf x1]
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gf (GMany x1) = DTr [] (AC (CId "Many")) [gf x1]
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gf (GNone x1) = DTr [] (AC (CId "None")) [gf x1]
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gf (GSome x1) = DTr [] (AC (CId "Some")) [gf x1]
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gf (GUsePN x1) = DTr [] (AC (CId "UsePN")) [gf x1]
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instance Gf GPN where
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gf (GGCD x1) = DTr [] (AC (CId "GCD")) [gf x1]
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gf (GProduct x1) = DTr [] (AC (CId "Product")) [gf x1]
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gf (GSum x1) = DTr [] (AC (CId "Sum")) [gf x1]
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gf (GUseInt x1) = DTr [] (AC (CId "UseInt")) [gf x1]
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instance Gf GQuestion where
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gf (GQuestS x1) = DTr [] (AC (CId "QuestS")) [gf x1]
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gf (GWhatIs x1) = DTr [] (AC (CId "WhatIs")) [gf x1]
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gf (GWhichAre x1 x2) = DTr [] (AC (CId "WhichAre")) [gf x1, gf x2]
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instance Gf GS where
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gf (GConjS x1 x2 x3) = DTr [] (AC (CId "ConjS")) [gf x1, gf x2, gf x3]
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gf (GPredAP x1 x2) = DTr [] (AC (CId "PredAP")) [gf x1, gf x2]
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@@ -135,6 +180,14 @@ instance Fg GAP where
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DTr [] (AC (CId "Prime")) [] -> GPrime
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_ -> error ("no AP " ++ show t)
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instance Fg GAnswer where
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fg t =
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case t of
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DTr [] (AC (CId "No")) [] -> GNo
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DTr [] (AC (CId "Value")) [x1] -> GValue (fg x1)
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DTr [] (AC (CId "Yes")) [] -> GYes
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_ -> error ("no Answer " ++ show t)
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instance Fg GCN where
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fg t =
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case t of
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@@ -149,15 +202,41 @@ instance Fg GConj where
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DTr [] (AC (CId "Or")) [] -> GOr
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_ -> error ("no Conj " ++ show t)
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instance Fg GListPN where
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fg t =
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case t of
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DTr [] (AC (CId "BasePN")) [x1,x2] -> GListPN [fg x1, fg x2]
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DTr [] (AC (CId "ConsPN")) [x1,x2] -> let GListPN xs = fg x2 in GListPN (fg x1:xs)
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_ -> error ("no ListPN " ++ show t)
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instance Fg GNP where
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fg t =
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case t of
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DTr [] (AC (CId "ConjNP")) [x1,x2,x3] -> GConjNP (fg x1) (fg x2) (fg x3)
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DTr [] (AC (CId "Every")) [x1] -> GEvery (fg x1)
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DTr [] (AC (CId "Many")) [x1] -> GMany (fg x1)
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DTr [] (AC (CId "None")) [x1] -> GNone (fg x1)
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DTr [] (AC (CId "Some")) [x1] -> GSome (fg x1)
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DTr [] (AC (CId "UseInt")) [x1] -> GUseInt (fg x1)
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DTr [] (AC (CId "UsePN")) [x1] -> GUsePN (fg x1)
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_ -> error ("no NP " ++ show t)
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instance Fg GPN where
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fg t =
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case t of
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DTr [] (AC (CId "GCD")) [x1] -> GGCD (fg x1)
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DTr [] (AC (CId "Product")) [x1] -> GProduct (fg x1)
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DTr [] (AC (CId "Sum")) [x1] -> GSum (fg x1)
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DTr [] (AC (CId "UseInt")) [x1] -> GUseInt (fg x1)
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_ -> error ("no PN " ++ show t)
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instance Fg GQuestion where
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fg t =
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case t of
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DTr [] (AC (CId "QuestS")) [x1] -> GQuestS (fg x1)
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DTr [] (AC (CId "WhatIs")) [x1] -> GWhatIs (fg x1)
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DTr [] (AC (CId "WhichAre")) [x1,x2] -> GWhichAre (fg x1) (fg x2)
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_ -> error ("no Question " ++ show t)
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instance Fg GS where
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fg t =
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case t of
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@@ -12,7 +12,7 @@ iS s = case s of
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iNP :: GNP -> (Exp -> Prop) -> Prop
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iNP np p = case np of
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GEvery cn -> All (If (iCN cn var) (p var)) ----
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GEvery cn -> All (If (iCN cn var) (liftProp 0 (p var))) ----
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GSome cn -> Exist (And (iCN cn var) (p var)) ----
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GConjNP c np1 np2 -> iConj c (iNP np1 p) (iNP np2 p)
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GUseInt (GInt i) -> p (int i)
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