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two versions of semantics (the Logic version incomplete)
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44
examples/tutorial/semantics/AnswerBase.hs
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44
examples/tutorial/semantics/AnswerBase.hs
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module AnswerBase where
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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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domain = [0 .. 100]
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iS :: GS -> Prop
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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 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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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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iAP :: GAP -> Exp -> 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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iCN :: GCN -> Exp -> 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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iConj :: GConj -> Prop -> Prop -> Prop
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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 a2 e1 e2 = case a2 of
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GGreater -> e1 > e1
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GSmaller -> e1 < e2
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GEqual -> e1 == e2
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