forked from GitHub/gf-core
Donkey: Det and Conj added, as well as negative sentences
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@@ -4,58 +4,84 @@ flags startcat = S ;
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cat
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S ;
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Cl ;
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CN ;
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Det ;
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Conj ;
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NP Set ;
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VP Set ;
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V2 Set Set ;
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V Set ;
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AP Set ;
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PN Set ;
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RC Set ;
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data
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PredVP : ({A} : Set) -> NP A -> VP A -> S ;
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ComplV2 : ({A,B} : Set) -> V2 A B -> NP B -> VP A ;
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UseV : ({A} : Set) -> V A -> VP A ;
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UseAP : ({A} : Set) -> AP A -> VP A ;
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If : (A : S) -> (El (iS A) -> S) -> S ;
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An : (A : CN) -> NP (iCN A) ;
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Every : (A : CN) -> NP (iCN A) ;
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The : (A : CN) -> El (iCN A) -> NP (iCN A) ;
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Pron : ({A} : CN) -> El (iCN A) -> NP (iCN A) ;
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UsePN : ({A} : Set) -> PN A -> NP A ;
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ModCN : (A : CN) -> AP (iCN A) -> CN ;
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IfS : (A : S) -> (El (iS A) -> S) -> S ; -- if A B
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ConjS : Conj -> S -> S -> S ; -- A and B ; A or B
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PosCl : Cl -> S ; -- John walks
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NegCl : Cl -> S ; -- John doesn't walk
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PredVP : ({A} : Set) -> NP A -> VP A -> Cl ; -- John (walks / doesn't walk)
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ComplV2 : ({A,B} : Set) -> V2 A B -> NP B -> VP A ; -- loves John
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UseV : ({A} : Set) -> V A -> VP A ; -- walks
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UseAP : ({A} : Set) -> AP A -> VP A ; -- is old
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DetCN : Det -> (A : CN) -> NP (iCN A) ; -- every man
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ConjNP : Conj -> ({A} : Set) -> NP A -> NP A -> NP A ; -- John and every man
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The : (A : CN) -> El (iCN A) -> NP (iCN A) ; -- the donkey
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Pron : ({A} : CN) -> El (iCN A) -> NP (iCN A) ; -- he/she/it
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UsePN : ({A} : Set) -> PN A -> NP A ; -- John
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ModAP : (A : CN) -> AP (iCN A) -> CN ; -- old man
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ModRC : (A : CN) -> RC (iCN A) -> CN ; -- man that walks
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RelVP : ({A} : CN) -> VP (iCN A) -> RC (iCN A) ; -- that walks
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An : Det ;
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Every : Det ;
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And : Conj ;
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Or : Conj ;
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Man, Donkey, Woman : CN ;
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Own, Beat : V2 (iCN Man) (iCN Donkey) ;
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Love : ({A,B} : Set) -> V2 A B ;
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Walk, Talk : V (iCN Man) ;
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Old : ({A} : Set) -> AP A ;
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Pregnant : AP (iCN Woman) ;
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Love : ({A,B} : Set) -> V2 A B ; -- polymorphic verb
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Walk, Talk : V (iCN Man) ; -- monomorphic verbs
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Old : ({A} : Set) -> AP A ; -- polymorphic adjective
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Pregnant : AP (iCN Woman) ; -- monomorphic adjective
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John : PN (iCN Man) ;
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-- Montague semantics in type theory
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fun
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iS : S -> Set ;
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iCN : CN -> Set ;
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iNP : ({A} : Set) -> NP A -> (El A -> Set) -> Set ;
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iVP : ({A} : Set) -> VP A -> (El A -> Set) ;
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iAP : ({A} : Set) -> AP A -> (El A -> Set) ;
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iV : ({A} : Set) -> V A -> (El A -> Set) ;
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iV2 : ({A,B} : Set) -> V2 A B -> (El A -> El B -> Set) ;
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iPN : ({A} : Set) -> PN A -> El A ;
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iS : S -> Set ;
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iCl : Cl -> Set ;
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iCN : CN -> Set ;
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iDet : Det -> ({A} : Set) -> (El A -> Set) -> Set ;
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iConj : Conj -> Set -> Set -> Set ;
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iNP : ({A} : Set) -> NP A -> (El A -> Set) -> Set ;
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iVP : ({A} : Set) -> VP A -> (El A -> Set) ;
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iAP : ({A} : Set) -> AP A -> (El A -> Set) ;
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iRC : ({A} : Set) -> RC A -> (El A -> Set) ;
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iV : ({A} : Set) -> V A -> (El A -> Set) ;
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iV2 : ({A,B} : Set) -> V2 A B -> (El A -> El B -> Set) ;
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iPN : ({A} : Set) -> PN A -> El A ;
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def
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iS (PredVP A Q F) = iNP A Q (\x -> iVP A F x) ;
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iS (If A B) = Pi (iS A) (\x -> iS (B x)) ;
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iS (PosCl A) = iCl A ;
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iS (NegCl A) = Neg (iCl A) ;
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iS (IfS A B) = Pi (iS A) (\x -> iS (B x)) ;
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iS (ConjS C A B) = iConj C (iS A) (iS B) ;
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iCl (PredVP A Q F) = iNP A Q (\x -> iVP A F x) ;
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iVP _ (ComplV2 A B F R) x = iNP B R (\y -> iV2 A B F x y) ;
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iVP _ (UseV A F) x = iV A F x ;
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iVP _ (UseAP A F) x = iAP A F x ;
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iNP _ (An A) F = Sigma (iCN A) F ;
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iNP _ (Every A) F = Pi (iCN A) F ;
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iNP _ (DetCN D A) F = iDet D (iCN A) F ;
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iNP _ (ConjNP C A Q R) F = iConj C (iNP A Q F) (iNP A R F) ;
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iNP _ (Pron _ x) F = F x ;
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iNP _ (The _ x) F = F x ;
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iNP _ (UsePN A a) F = F (iPN A a) ;
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iCN (ModCN A F) = Sigma (iCN A) (\x -> iAP (iCN A) F x) ;
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iDet An A F = Sigma A F ;
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iDet Every A F = Pi A F ;
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iCN (ModAP A F) = Sigma (iCN A) (\x -> iAP (iCN A) F x) ;
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iCN (ModRC A F) = Sigma (iCN A) (\x -> iRC (iCN A) F x) ;
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iRC _ (RelVP A F) x = iVP (iCN A) F x ;
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iConj And = Prod ;
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iConj Or = Plus ;
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--- for the type-theoretical lexicon
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@@ -1,9 +1,12 @@
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--# -path=.:present
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concrete DonkeyEng of Donkey = TypesSymb ** open TryEng, IrregEng, Prelude in {
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concrete DonkeyEng of Donkey = TypesSymb ** open TryEng, IrregEng, (E = ExtraEng), Prelude in {
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lincat
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S = TryEng.S ;
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Cl = TryEng.Cl ;
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Det = TryEng.Det ;
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Conj = TryEng.Conj ;
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CN = {s : TryEng.CN ; p : TryEng.Pron} ; -- since English CN has no gender
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NP = TryEng.NP ;
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VP = TryEng.VP ;
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@@ -11,19 +14,29 @@ lincat
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V2 = TryEng.V2 ;
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V = TryEng.V ;
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PN = TryEng.PN ;
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RC = TryEng.RS ;
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lin
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PredVP _ Q F = mkS (mkCl Q F) ;
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IfS A B = mkS (mkAdv if_Subj A) (lin S (ss B.s)) ;
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ConjS C A B = mkS C A B ;
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PosCl A = mkS A ;
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NegCl A = mkS negativePol A ;
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PredVP _ Q F = mkCl Q F ;
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ComplV2 _ _ F y = mkVP F y ;
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UseV _ F = mkVP F ;
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UseAP _ F = mkVP F ;
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If A B = mkS (mkAdv if_Subj A) (lin S (ss B.s)) ;
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An A = mkNP a_Det A.s ;
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Every A = mkNP every_Det A.s ;
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An = mkDet a_Quant ;
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Every = every_Det ;
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DetCN D A = mkNP D A.s ;
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The A r = mkNP the_Det A.s | mkNP (mkNP the_Det A.s) (lin Adv (parenss r)) ; -- variant showing referent: he ( john' )
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Pron A r = mkNP A.p | mkNP (mkNP A.p) (lin Adv (parenss r)) ;
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UsePN _ a = mkNP a ;
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ModCN A F = {s = mkCN F A.s ; p = A.p} ;
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ConjNP C _ Q R = mkNP C Q R ;
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ModAP A F = {s = mkCN F A.s ; p = A.p} ;
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ModRC A F = {s = mkCN A.s F ; p = A.p} ;
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RelVP A F = mkRS (mkRCl (relPron A) F) ;
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And = and_Conj ;
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Or = or_Conj ;
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Man = {s = mkCN (mkN "man" "men") ; p = he_Pron} ;
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Woman = {s = mkCN (mkN "woman" "women") ; p = she_Pron} ;
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@@ -37,6 +50,18 @@ lin
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Pregnant = mkAP (mkA "pregnant") ;
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John = mkPN "John" ;
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oper
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relPron : {s : CN ; p : Pron} -> RP = \cn -> case isHuman cn.p of {
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--- True => who_RP ;
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--- False => which_RP
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_ => E.that_RP
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} ;
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isHuman : Pron -> Bool = \p -> case p.a of {
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--- AgP3Sg Neutr => False ;
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_ => True
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} ;
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-- for the lexicon in type theory
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lin
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@@ -46,22 +46,13 @@ Example 2: parse and interpret a sentence, also showing the nice formula.
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(Σ v0 : man')(Σ v1 : donkey')own' (v0 , v1)
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Example 3: (to be revisited) parse of "the donkey sentence" fails, but should succeed
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Example 3: (to be revisited) parse of "the donkey sentence" returns some metavariables
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Donkey> p -cat=S "if a man owns a donkey he beats it"
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Donkey> dc interpret p ?0 | pt -transfer=iS | l -unlexcode
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Donkey> %interpret "if a man owns a donkey he beats it"
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(Π v0 : (Σ v0 : man')(Σ v1 : donkey')own' (v0 , v1))beat' (?16 , ?22)
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The sentence is not complete
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Donkey> p -cat=S "if a man owns a donkey the man beats the donkey"
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The sentence is not complete
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Example 4: problem that appears with CN's modified by polymorphic AP's (old), but not with monomorphic ones (pregnant)
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Donkey> p "an old man walks"
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src/runtime/haskell/PGF/TypeCheck.hs:(528,4)-(550,67): Non-exhaustive patterns in function occurCheck
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-- this should build (ModCN Man (Old Man'))
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Donkey> p "a pregnant woman loves John " | pt -transfer=iS | l -unlexcode
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(Σ v0 : (Σ v0 : woman')pregnant' (v0))love' (v0 , john')
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@@ -23,7 +23,7 @@ lin
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Plus A B = parenss (infixSS "+" A B) ;
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Pi A B = ss (paren (capPi ++ B.$0 ++ ":" ++ A.s) ++ B.s) ;
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Sigma A B = ss (paren (capSigma ++ B.$0 ++ ":" ++ A.s) ++ B.s) ;
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Falsum = ss "_|_" ;
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Falsum = ss "Ø" ;
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Nat = ss "N" ;
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Id A a b = apply "I" A a b ;
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