Cyclic Proofs with Ordering Constraints - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2017

Cyclic Proofs with Ordering Constraints

Résumé

CLKID ω is a sequent-based cyclic inference system able to reason on first-order logic with inductive definitions. The current approach for verifying the soundness of CLKID ω proofs is based on expensive model-checking techniques leading to an explosion in the number of states. We propose proof strategies that guarantee the soundness of a class of CLKID ω proofs if some ordering and derivability constraints are satisfied. They are inspired from previous works about cyclic well-founded induction reasoning, known to provide effective sets of ordering constraints. A derivability constraint can be checked in linear time. Under certain conditions, one can build proofs that implicitly satisfy the ordering constraints.
Fichier principal
Vignette du fichier
Str_10501_2017a.pdf (445.65 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01590651 , version 1 (21-09-2017)

Identifiants

Citer

Sorin Stratulat. Cyclic Proofs with Ordering Constraints. TABLEAUX 2017 (26th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods), Sep 2017, Brasilia, Brazil. pp.311 - 327, ⟨10.1007/978-3-319-66902-1_19⟩. ⟨hal-01590651⟩
64 Consultations
249 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More