A Unified View of Induction Reasoning for First-Order Logic

Sorin Stratulat 1, 2, *
* Auteur correspondant
1 PAREO - Formal islands: foundations and applications
Inria Nancy - Grand Est, LORIA - FM - Department of Formal Methods
Abstract : Induction is a powerful proof technique adapted to reason on sets with an unbounded number of elements. In a first-order setting, two different methods are distinguished: the conventional induction, based on explicit induction schemas, and the implicit induction, based on reductive procedures. We propose a new cycle-based induction method that keeps their best features, i.e., performs local and non-reductive reasoning, and naturally fits for mutual and lazy induction. The heart of the method is a proof strategy that identifies in the proof script the subset of formulas contributing to validate the application of induction hypotheses. The conventional and implicit induction are particular cases of our method.
Type de document :
Communication dans un congrès
Turing-100, The Alan Turing Centenary Conference, Jun 2012, Manchester, United Kingdom. 2012
Liste complète des métadonnées

Littérature citée [56 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-00763236
Contributeur : Sorin Stratulat <>
Soumis le : lundi 10 décembre 2012 - 13:41:06
Dernière modification le : jeudi 11 janvier 2018 - 06:25:24
Document(s) archivé(s) le : samedi 17 décembre 2016 - 23:21:10

Fichier

document-poster.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00763236, version 1

Collections

Citation

Sorin Stratulat. A Unified View of Induction Reasoning for First-Order Logic. Turing-100, The Alan Turing Centenary Conference, Jun 2012, Manchester, United Kingdom. 2012. 〈hal-00763236〉

Partager

Métriques

Consultations de la notice

270

Téléchargements de fichiers

194