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Focused and synthetic nested sequents

  • Laboratoire d'Informatique (LIX)

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10 Citations (Scopus)

Résumé

Focusing is a general technique for transforming a sequent proof system into one with a syntactic separation of non-deterministic choices without sacrificing completeness. This not only improves proof search, but also has the representational benefit of distilling sequent proofs into synthetic normal forms. We show how to apply the focusing technique to nested sequent calculi, a generalization of ordinary sequent calculi to tree-like instead of list-like structures. We thus improve the reach of focusing to the most commonly studied modal logics, the logics of the modal S5 cube. Among our key contributions is a focused cutelimination theorem for focused nested sequents.

langue originaleAnglais
titreFoundations of Software Science and Computation Structures - 19th International Conference, FOSSACS 2016 Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2016, Proceedings
rédacteurs en chefChristof Löding, Bart Jacobs
EditeurSpringer Verlag
Pages390-407
Nombre de pages18
ISBN (imprimé)9783662496299
Les DOIs
étatPublié - 1 janv. 2016
Evénement19th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2016 and Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2016 - Eindhoven, Pays-Bas
Durée: 2 avr. 20168 avr. 2016

Série de publications

NomLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9634
ISSN (imprimé)0302-9743
ISSN (Electronique)1611-3349

Une conférence

Une conférence19th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2016 and Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2016
Pays/TerritoirePays-Bas
La villeEindhoven
période2/04/168/04/16

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