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+
+
+
+ G4ip Prover
+
+
+
+Prover for G4ip (LJT)
+
+Readme
+
+
+
+Formulae:
+ F ::= false
+ | A
+ | F & F
+ | F v F
+ | F -> F
+ | F <-> F
+ | (F)
+Sequents: => F or
+ [F,]* F => F
+
+
+Inference Rules:
+html,
+dvi or
+ps.
+
+
+Start: starts the proof search,
+Clear: clears the text fields,
+Next: searches for the next proof,
+Stop: stops the proof search.
+
+
+
+
+
+
+Provable Examples:
+
+
+- => (p v (q v r)) <-> ((p v q) v r)
+- => (p & (q & r)) <-> ((p & q) & r)
+- => (p & (q v r)) <-> ((p & q) v (p & r))
+- => (p v (q & r)) <-> ((p v q) & (p v r))
+- => (p -> p) -> (p -> p)
+- => (a -> (b -> c)) -> ((a -> b) -> (a -> c))
+- => a -> ((a -> b) -> a)
+- => b -> ((a -> b) -> b)
+- => (a & b) -> (b & a)
+- => (a -> (a -> b)) -> (a -> b)
+- => ((((p -> q) -> p) -> p) -> q) -> q
+- => (a v (a -> b)) -> (((a -> b) -> a)-> a)
+- => (a -> (b -> false)) -> (b -> (a -> false))
+- => ((a v (a -> false))-> false)-> false
+- a & b, c & d => b & c
+- (a v (a-> false)) -> false => false
+
+
+
+Non-Provable Examples:
+
+
+- => ((a -> b) -> a) -> a
+- => a v (a -> false)
+- => (a & b v (((( a-> flase) -> false) -> q) v (b -> q)) -> q) -> q
+
+
+
+
+Some advanced examples
+
+
+Source Code:
+Formulae,
+Contexts,
+Sequents,
+ProofDisplay,
+Prover,
+Parser,
+Applet
+
+
+Lambda Prolog Version: The programm
+G4ip.mod can be executed using
+Terzo
+Another implementation of G4ip by Joshua Hodas and Dale Miller written in
+Lolli can be found
+here.
+
+
+
+
+Christian Urban
+
+
+
+
+Last modified: Sun May 10 18:18:13 GMT 1998
+
+
+