InforLorV4, Main, Merge, bibRecord, 008322

Click'n'Prove: Interactive Proofs Within Set Theory

Identifieur interne : 008322 ( Main/Merge ); précédent : 008321; suivant : 008323

Click'n'Prove: Interactive Proofs Within Set Theory

Auteurs : Jean-Raymond Abrial ; Dominique Cansell [France]

Source :

RBID : Hal:inria-00099836

Descripteurs français

mix :
- automatic prover, interactive prover, prouveur automatique, prouveur interactif, set theory, séquent, théorie des ensembles.

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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Le document en format XML

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<front><div type="abstract" xml:lang="en">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).</div>
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Click'n'Prove: Interactive Proofs Within Set Theory

Click'n'Prove: Interactive Proofs Within Set Theory

Source :

Descripteurs français

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

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