MAth

resource/abstract/Lang.gf

@@ -6,7 +6,8 @@ abstract Lang =
   Structural, 
   Basic, 
   Time, 
-  Country 
+  Country,
+  Math
 
   ** {
   fun

resource/abstract/Math.gf

@@ -0,0 +1,52 @@
+
+
+abstract Math = Categories ** {
+
+--3 Noun phrases with symbols
+
+fun
+  SymbPN      : String -> PN ;             -- "x"
+  IntPN       : Int -> PN ;                -- "27"
+  IntNP       : CN -> Int -> NP ;          -- "level 53"
+
+  IndefSymbNumNP : Num -> CN -> SymbList -> NP ;         -- "(2) numbers x and y"
+  DefSymbNumNP   : Num -> CN -> SymbList -> NP ;         -- "the (2) numbers x and y"
+  NDetSymbNP     : NDet -> Num -> CN -> SymbList -> NP ; -- "some (3) points x, y and z"
+
+--3 Symbol lists
+
+-- A symbol list has at least two elements. The last two are separated
+-- by a conjunction ("and" in English), the others by commas.
+-- This produces "x, y and z", in English. 
+
+cat
+  SymbList ;
+
+fun
+  SymbTwo  : String -> String   -> SymbList ;
+  SymbMore : String -> SymbList -> SymbList ;
+
+--3 Special forms of expression
+
+-- These expression forms are typical of mathematical texts.
+
+  LetCN    : String   -> CN -> Imp ;         -- Let x be a number.
+  LetNumCN : SymbList -> Num -> CN -> Imp ;  -- Let x and y be (2) numbers.
+
+-- This rule is slightly overgenerating: "there exists every number x". 
+-- The problem seems to be of semantic nature. By this we avoid having many rules.
+
+  ExistNP : NP -> Cl ;  -- there exist (2) number(s) x and y
+
+--3 Rules moved from $Rules$.
+
+-- This rule is powerful but overgenerating.
+
+  SymbCN      : CN -> String -> CN ;       -- "number x"
+
+-- This rule is simply wrong, and will be deprecated: the correct
+-- value type is $NP$.
+
+  IntCN       : CN -> Int -> CN ;          -- "level 53"
+
+}

resource/abstract/Rules.gf

@@ -17,9 +17,12 @@ fun
   UseN        : N -> CN ;                  -- "car"
   UsePN       : PN -> NP ;                 -- "John"
 
+-- These three rules have been moved to the module $Math$.
+  {-
   SymbPN      : String -> PN ;             -- "x"
   SymbCN      : CN -> String -> CN ;       -- "number x"
   IntCN       : CN -> Int -> CN ;          -- "number 53"
+  -}
 
   IndefOneNP  : CN -> NP ;                 -- "a car", "cars"
   IndefNumNP  : Num -> CN -> NP ;          -- "houses", "86 houses"

resource/danish/MathDan.gf

@@ -0,0 +1,4 @@
+--# -path=.:../scandinavian:../abstract:../../prelude
+
+concrete MathDan of Math = CategoriesDan **
+  MathScand with (SyntaxScand=SyntaxDan) ;

resource/danish/SyntaxDan.gf

@@ -116,4 +116,5 @@ instance SyntaxDan of SyntaxScand = TypesDan **
       {s = verbVara.s ; s1 = "ved" ; isAux = False}
       vp) ;
 
+  conjEt = "og" ;
 }

resource/english/LangEng.gf

@@ -6,7 +6,8 @@ concrete LangEng of Lang =
   StructuralEng,  
   BasicEng,
   TimeEng,
-  CountryEng
+  CountryEng,
+  MathEng
 
    ** open Prelude, ParadigmsEng in {
 

resource/english/MathEng.gf

@@ -0,0 +1,49 @@
+--# -path=.:../abstract:../../prelude
+
+concrete MathEng of Math = CategoriesEng **  open Prelude, SyntaxEng, ParadigmsEng in {
+
+lin
+  SymbPN i = {s = \\c => caseSymb c i.s ; g = Neutr} ;
+  IntPN i  = {s = \\c => caseSymb c i.s ; g = Neutr} ;
+  IntNP cn i = nameNounPhrase {
+    s = \\c => (cn.s ! Sg ! Nom ++ caseSymb c i.s) ; 
+    g = Neutr
+    } ;
+
+  IndefSymbNumNP nu cn xs = 
+    addSymbNounPhrase (indefNounPhraseNum plural nu cn) xs.s ;
+  DefSymbNumNP nu cn xs = 
+    addSymbNounPhrase (defNounPhraseNum plural nu cn) xs.s ;
+  NDetSymbNP det nu cn xs = 
+    addSymbNounPhrase (numDetNounPhrase det nu cn) xs.s ;
+
+lincat 
+  SymbList = SS ;
+
+lin
+  SymbTwo  = infixSS "and" ;
+  SymbMore = infixSS "," ;
+
+
+  LetCN x cn = {
+    s = \\_ => "let" ++ x.s ++ "be" ++ (indefNounPhrase singular cn).s ! NomP
+    } ;
+  LetNumCN x nu cn = {
+    s = \\_ => "let" ++ x.s ++ "be" ++ (indefNounPhraseNum plural nu cn).s ! NomP
+    } ;
+  ExistNP np = predVerbClause
+                 (nameNounPhraseN (fromAgr np.a).n (nameReg "there" Neutr))
+                 (regV "exist")
+                 (complNounPhrase np) ;
+
+-- Moved from $RulesEng$.
+
+  SymbCN cn s =
+    {s = \\n,c => cn.s ! n ! Nom ++ caseSymb c s.s ; 
+     g = cn.g} ;
+  IntCN cn s =
+    {s = \\n,c => cn.s ! n ! Nom ++ caseSymb c s.s ; 
+     g = cn.g} ;
+
+
+}

resource/english/RulesEng.gf

@@ -28,14 +28,6 @@ lin
   UseN  = noun2CommNounPhrase ;
   UsePN = nameNounPhrase ;
 
-  SymbPN i = {s = table {Nom => i.s ; Gen => i.s ++ "'s"} ; g = Neutr} ; ---
-  SymbCN cn s =
-    {s = \\n,c => cn.s ! n ! c ++ s.s ; 
-     g = cn.g} ;
-  IntCN cn s =
-    {s = \\n,c => cn.s ! n ! c ++ s.s ; 
-     g = cn.g} ;
-
   IndefOneNP = indefNounPhrase singular ;
   IndefNumNP = indefNounPhraseNum plural ;
   DefOneNP = defNounPhrase singular ;

resource/english/SyntaxEng.gf

@@ -66,11 +66,17 @@ oper
         APl   p => {n = Pl ; p = p ; g = human}
         } ;
 
-  nameNounPhrase : ProperName -> NounPhrase = \john -> 
+  caseSymb : Case -> Str -> Str = \c,i -> case c of {
-    {s = \\c => john.s ! toCase c ; a = toAgr Sg P3 john.g} ;
+    Nom => i ; 
+    Gen => glue i "'s"
+    } ;
 
-  nameNounPhrasePl : ProperName -> NounPhrase = \john -> 
+  nameNounPhrase : ProperName -> NounPhrase = 
-    {s = \\c => john.s ! toCase c ; a = toAgr Pl P3 john.g} ;
+    nameNounPhraseN Sg ;
+  nameNounPhrasePl : ProperName -> NounPhrase = 
+    nameNounPhraseN Pl ;
+  nameNounPhraseN : Number -> ProperName -> NounPhrase = \n,john -> 
+    {s = \\c => john.s ! toCase c ; a = toAgr n P3 john.g} ;
 
 -- The following construction has to be refined for genitive forms:
 -- "we two", "us two" are OK, but "our two" is not.
@@ -86,6 +92,14 @@ oper
   pronNounPhrase : Pronoun -> NounPhrase = \pro -> 
     {s = pro.s ; a = toAgr pro.n pro.p pro.g} ;
 
+-- To add a symbol, such as a variable or variable list, to the end of
+-- an NP.
+
+  addSymbNounPhrase : NounPhrase -> Str -> NounPhrase = \np,x ->
+    {s = \\c => np.s ! c ++ x ;
+     a = np.a
+    } ;
+
 --2 Determiners
 --
 -- Determiners are inflected according to the nouns they determine.

resource/finnish/LangFin.gf

@@ -4,9 +4,10 @@ concrete LangFin of Lang =
   RulesFin, 
   ClauseFin, 
   StructuralFin,  
-  BasicFin
+  BasicFin,
 ----  TimeEng,
 ----  CountryEng
+  MathFin
 
    ** open Prelude, ParadigmsFin in {
 

resource/finnish/MathFin.gf

@@ -0,0 +1,50 @@
+--# -path=.:../abstract:../../prelude
+
+concrete MathFin of Math = CategoriesFin **  open Prelude, SyntaxFin, ParadigmsFin in {
+
+lin
+  SymbPN i = {s = \\c => i.s} ;  --- case endings often needed
+  IntPN i  = {s = \\c => i.s} ;
+  IntNP cn i = nameNounPhrase {
+    s = \\c => cn.s ! False ! Sg ! c ++ i.s
+    } ;
+
+  IndefSymbNumNP nu cn xs = 
+    addSymbNounPhrase (nounPhraseNum False nu cn) xs.s ;
+  DefSymbNumNP nu cn xs = 
+    addSymbNounPhrase (nounPhraseNum True nu cn) xs.s ;
+  NDetSymbNP det nu cn xs = 
+    addSymbNounPhrase (numDetNounPhrase det nu cn) xs.s ;
+
+lincat 
+  SymbList = SS ;
+
+lin
+  SymbTwo  = infixSS "ja" ;
+  SymbMore = infixSS "," ;
+
+
+  LetCN x cn = {
+    s = \\_ => "olkoon" ++ x.s ++ (indefNounPhrase singular cn).s !
+    NPCase Nom
+    } ;
+  LetNumCN x nu cn = {
+    s = \\_ => "olkoot" ++ x.s ++ (nounPhraseNum False nu cn).s
+    ! NPCase Part
+    } ;
+
+  ExistNP np = 
+    sats2clause (
+      mkSatsCopula impersNounPhrase ("olemassa" ++ np.s ! NPCase Nom)
+      ) ;
+
+-- Moved from $RulesFin$.
+
+  SymbCN cn s =
+    {s = \\f,n,c => cn.s ! f ! n ! c ++ s.s ; 
+     g = cn.g} ;
+  IntCN cn s =
+    {s = \\f,n,c => cn.s ! f ! n ! c ++ s.s ; 
+     g = cn.g} ;
+
+}

resource/finnish/RulesFin.gf

@@ -24,14 +24,6 @@ lin
   UseN  = noun2CommNounPhrase ;
   UsePN = nameNounPhrase ;
 
-  SymbPN i = {s = \\_ => i.s} ;  --- case endings often needed
-  SymbCN cn s =
-    {s = \\f,n,c => cn.s ! f ! n ! c ++ s.s ; 
-     g = cn.g} ;
-  IntCN cn s =
-    {s = \\f,n,c => cn.s ! f ! n ! c ++ s.s ; 
-     g = cn.g} ;
-
   IndefOneNP = indefNounPhrase singular ;
   IndefNumNP = nounPhraseNum False ;
   DefOneNP = defNounPhrase singular ;
@@ -206,6 +198,8 @@ lin
 
 ----  OneNP = nameNounPhrase (nameReg "one" human) ;
 
+--- should be partitive in negative forms: "ei ole olemassa puista autoa"
+
   ExistCN cn = 
     sats2clause (
       mkSatsCopula impersNounPhrase ("olemassa" ++ (singularNounPhrase cn).s ! NPCase Nom)

resource/finnish/SyntaxFin.gf

@@ -157,6 +157,14 @@ oper
 
   noNum : Numeral = {s = \\_ => [] ; isNum = False ; n = Pl} ;
 
+-- To add a symbol, such as a variable or variable list, to the end of
+-- an NP.
+
+  addSymbNounPhrase : NounPhrase -> Str -> NounPhrase = \np,x ->
+    {s = \\c => np.s ! c ++ x ;
+     n = np.n ;
+     p = np.p 
+    } ;
 
 --2 Determiners
 --

resource/french/MathFre.gf

@@ -0,0 +1,4 @@
+--# -path=.:../romance:../abstract:../../prelude
+
+concrete MathFre of Math = CategoriesFre **
+  MathRomance with (SyntaxRomance=SyntaxFre) ;

resource/italian/MathIta.gf

@@ -0,0 +1,4 @@
+--# -path=.:../romance:../abstract:../../prelude
+
+concrete MathIta of Math = CategoriesIta **
+  MathRomance with (SyntaxRomance=SyntaxIta) ;

resource/norwegian/MathNor.gf

@@ -0,0 +1,4 @@
+--# -path=.:../scandinavian:../abstract:../../prelude
+
+concrete MathNor of Math = CategoriesNor **
+  MathScand with (SyntaxScand=SyntaxNor) ;

resource/norwegian/SyntaxNor.gf

@@ -117,4 +117,7 @@ instance SyntaxNor of SyntaxScand = TypesNor **
      (complVerbVerb 
       ({s = verbVara.s ; s1 = "ved" ; isAux = False})
       vp) ;
+
+  conjEt = "og" ;
+
 }

resource/romance/MathRomance.gf

@@ -0,0 +1,51 @@
+--# -path=.:../romance:../abstract:../../prelude
+
+incomplete concrete MathRomance of Math = CategoriesRomance ** 
+  open Prelude, SyntaxRomance in {
+
+lin
+  SymbPN i = {s = i.s ; g = Masc} ; --- cannot know gender
+  IntPN i  = {s = i.s ; g = Masc} ;
+  IntNP cn i = nameNounPhrase {
+    s = cn.s ! Sg ++ i.s ;
+    g = cn.g
+    } ;
+
+  IndefSymbNumNP nu cn xs = 
+    addSymbNounPhrase (indefNounPhraseNum nu cn) xs.s ;
+  DefSymbNumNP nu cn xs = 
+    addSymbNounPhrase (defNounPhraseNum nu cn) xs.s ;
+  NDetSymbNP det nu cn xs = 
+    addSymbNounPhrase (numDetNounPhrase det nu cn) xs.s ;
+
+lincat 
+  SymbList = SS ;
+
+lin
+  SymbTwo  = infixSS etConj.s ;
+  SymbMore = infixSS "," ;
+
+
+  LetCN x cn = {
+    s = \\_,_ => copula.s ! VFin (VPres Con) Sg P3 ++ x.s ++ (indefNounPhrase singular cn).s !
+    unstressed nominative
+    } ;
+  LetNumCN x nu cn = {
+    s = \\_,_ => copula.s ! VFin (VPres Con) Pl P3 ++ x.s ++ (indefNounPhraseNum nu cn).s
+    ! unstressed nominative
+    } ;
+
+--- to be replaced by "il existe", "esiste", etc.
+
+  ExistNP np = existNounPhrase np ;
+
+-- Moved from $RulesRomance$.
+
+  SymbCN cn s =
+    {s = \\n => cn.s ! n ++ s.s ; 
+     g = cn.g} ;
+  IntCN cn i =
+    {s = \\n => cn.s ! n ++ i.s ; 
+     g = cn.g} ;
+
+}

resource/romance/RulesRomance.gf

@@ -7,14 +7,6 @@ lin
   UseN = noun2CommNounPhrase ;
   UsePN = nameNounPhrase ;
 
-  SymbPN i = {s = i.s ; g = Masc} ; --- cannot know gender
-  SymbCN cn s =
-    {s = \\n => cn.s ! n ++ s.s ; 
-     g = cn.g} ;
-  IntCN cn i =
-    {s = \\n => cn.s ! n ++ i.s ; 
-     g = cn.g} ;
-
   IndefOneNP = indefNounPhrase singular ;
   IndefNumNP = indefNounPhraseNum ;
   DefOneNP = defNounPhrase singular ;

resource/romance/SyntaxRomance.gf

@@ -80,6 +80,17 @@ oper
 
   existNounPhrase : NounPhrase -> Clause ;
 
+-- To add a symbol, such as a variable or variable list, to the end of
+-- an NP.
+
+  addSymbNounPhrase : NounPhrase -> Str -> NounPhrase = \np,x ->
+    {s = \\c => np.s ! c ++ x ;
+     g = np.g ;
+     n = np.n ;
+     p = np.p ;
+     c = np.c
+    } ;
+
 
 --2 Determiners
 --

resource/scandinavian/MathScand.gf

@@ -0,0 +1,58 @@
+--# -path=.:../abstract:../../prelude
+
+incomplete concrete MathScand of Math = CategoriesScand ** 
+  open Prelude, SyntaxScand in {
+
+lin
+  SymbPN i = {s = \\_ => i.s ; g = NNeutr} ; --- cannot know gender
+  IntPN i  = {s = \\_ => i.s ; g = NNeutr} ;
+  IntNP cn i = nameNounPhrase {
+    s = \\c => cn.s ! Sg ! DefP Def ! Nom ++ i.s ;
+    g = cn.g
+    } ;
+
+  IndefSymbNumNP nu cn xs = 
+    addSymbNounPhrase (indefNounPhraseNum plural nu cn) xs.s ;
+  DefSymbNumNP nu cn xs = 
+    addSymbNounPhrase (defNounPhraseNum plural nu cn) xs.s ;
+  NDetSymbNP det nu cn xs = 
+    addSymbNounPhrase (numDetNounPhrase det nu cn) xs.s ;
+
+lincat 
+  SymbList = SS ;
+
+lin
+  SymbTwo  = infixSS conjEt ;
+  SymbMore = infixSS "," ;
+
+
+  LetCN x cn = {
+    s = \\_ => letImp ++ x.s ++ verbVara.s ! VI (Inf Act) ++ (indefNounPhrase singular cn).s !
+    PNom
+    } ;
+  LetNumCN x nu cn = {
+    s = \\_ => letImp ++ x.s ++ verbVara.s ! VI (Inf Act) ++
+    (indefNounPhraseNum plural nu cn).s
+    ! PNom
+    } ;
+
+--- to be replaced by "det existerar", etc.
+
+  ExistNP np = predVerbGroupClause npDet 
+                (complTransVerb (mkDirectVerb (deponentVerb verbFinnas)) 
+                   np) ;
+
+-- Moved from $RulesScand$.
+
+  SymbCN cn s =
+    {s = \\a,n,c => cn.s ! a ! n ! c ++ s.s ; 
+     g = cn.g ;
+     p = cn.p
+     } ;
+  IntCN cn s =
+    {s = \\a,n,c => cn.s ! a ! n ! c ++ s.s ; 
+     g = cn.g ;
+     p = cn.p
+     } ;
+
+}

resource/scandinavian/RulesScand.gf

@@ -10,16 +10,13 @@ lin
   UsePN = nameNounPhrase ;
 
   SymbPN i = {s = \\_ => i.s ; g = NNeutr} ;
+
   SymbCN cn s =
-    {s = \\a,n,c => cn.s ! a ! n ! c ++ s.s ; 
+    {s = \\n => cn.s ! n ++ s.s ; 
-     g = cn.g ;
+     g = cn.g} ;
-     p = cn.p
+  IntCN cn i =
-     } ;
+    {s = \\n => cn.s ! n ++ i.s ; 
-  IntCN cn s =
+     g = cn.g} ;
-    {s = \\a,n,c => cn.s ! a ! n ! c ++ s.s ; 
-     g = cn.g ;
-     p = cn.p
-     } ;
 
   IndefOneNP = indefNounPhrase singular ;
   IndefNumNP = indefNounPhraseNum plural ;

resource/scandinavian/SyntaxScand.gf

@@ -122,6 +122,11 @@ oper
 
   npDet : NounPhrase ;
 
+
+  addSymbNounPhrase : NounPhrase -> Str -> NounPhrase = \np,x -> 
+    {s = \\c => np.s ! c ++ x ; g = np.g ; n = np.n ; p = np.p} ;
+
+
 --2 Determiners
 --
 -- Determiners are inflected according to noun in gender and sex. 
@@ -1710,4 +1715,7 @@ oper
 
   pronVars, pronVem, pronVems : Str ;
 
+  conjEt : Str ;
+
+  letImp : Str = "låt" ; ---- check for all scand
 } ;

resource/spanish/MathSpa.gf

@@ -0,0 +1,4 @@
+--# -path=.:../romance:../abstract:../../prelude
+
+concrete MathSpa of Math = CategoriesSpa **
+  MathRomance with (SyntaxRomance=SyntaxSpa) ;

resource/swedish/MathSwe.gf

@@ -0,0 +1,4 @@
+--# -path=.:../scandinavian:../abstract:../../prelude
+
+concrete MathSwe of Math = CategoriesSwe **
+  MathScand with (SyntaxScand=SyntaxSwe) ;

resource/swedish/SyntaxSwe.gf

@@ -132,4 +132,7 @@ instance SyntaxSwe of SyntaxScand = TypesSwe **
     CPpå => "på" ;
     CPtill => "till"
     } ;
+
+  conjEt = "och" ;
+
 }