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Proofs by induction are important in many computer science and artiicial intelligence applications , in particular, in program veriication and speciication systems. We present a new method to prove (and disprove) automatically inductive properties. Given a set of axioms, a well-suited induction scheme is constructed automatically. We call such an induction… (More)

Automating proofs by induction is important in many computer science and artificial intelligence applications, in particular in program verification and specification systems. We present a new method to prove (and disprove) automatically inductive properties. Given a set of axioms, a well-suited induction scheme is constructed automatically. We call such a… (More)

Several induction provers have been developed to automate inductive proofs (see for instance: Nqthm, RRL INKA, LP, SPIKE, CLAM-Oyster, ...). However, inductive theorem provers very often fail to terminate. A proof to go through requires either additional lemmas, a generalization, a suitable induction variable to induce upon , or a case split. The aim of… (More)