-- proposition data Prp a = Var a | Not (Prp a) | Or (Prp a) (Prp a) | And (Prp a) (Prp a) | Imp (Prp a) (Prp a) | Xor (Prp a) (Prp a) | Eqv (Prp a) (Prp a) | Cns Bool deriving (Show, Eq)
-- Here are to variable extraction methods -- variable extraction reference imp. -- Graham Hutton: Programming in Haskell, 107 vars_ :: Prp a → [a] vars_ (Cns _) = [] vars_ (Var x) = [x] vars_ (Not p) = vars_ p vars_ (Or p q) = vars_ p ++ vars_ q vars_ (And p q) = vars_ p ++ vars_ q vars_ (Imp p q) = vars_ p ++ vars_ q vars_ (Xor p q) = vars_ p ++ vars_ q vars_ (Eqv p q) = vars_ p ++ vars_ q -- variable extraction new * this is faster vars :: Prp a → [a] vars p = evs [p] where evs [] = [] evs (Cns _ :ps) = [] evs (Var x :ps) = x:evs ps evs (Not p :ps) = evs (p:ps) evs (Or p q:ps) = evs (p:q:ps) evs (And p q:ps) = evs (p:q:ps) evs (Imp p q:ps) = evs (p:q:ps) evs (Xor p q:ps) = evs (p:q:ps) evs (Eqv p q:ps) = evs (p:q:ps) -- for : Not (Imp (Or (Var 'p') (Var 'q')) (Var p)) -- vars_: ['p','q','p'] -- vars : ['p','q','p'] -- order and the fact that 'p' appears twice being irrelevant: -- is there an even faster way to do this? -- -- Cetin Sert -- www.corsis.de
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