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Click'n'Prove: Interactive Proofs Within Set Theory

Jean-Raymond Abrial Dominique Cansell 1
1 MOSEL - Proof-oriented development of computer-based systems
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this article, we first briefly present a proof assistant called the Predicate Prover, which essentially offers two functionalities: (1) an automatic semi-decision procedure for First Order Predicate Calculus, and (2) a systematic translation of statements written within Set Theory into equivalent ones in First Order Predicate Calculus. We then show that the automatic usage of this proof assistant is limited by several factors. We finally present (and this is the main part of this article) the principles that we have used in the construction of a {\em proactive} interface aiming at circumventing these limitations. Such principles are based on our practical experience in doing many interactive proofs (within Set Theory).
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https://hal.inria.fr/inria-00099836
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Submitted on : Tuesday, September 26, 2006 - 9:41:40 AM
Last modification on : Friday, February 26, 2021 - 3:28:05 PM

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  • HAL Id : inria-00099836, version 1

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Jean-Raymond Abrial, Dominique Cansell. Click'n'Prove: Interactive Proofs Within Set Theory. 16th International Conference on Theorem Proving in Higher Order Logics - TPHOLs'2003, 2003, Rome, Italy, pp.1-24. ⟨inria-00099836⟩

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