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Focused and synthetic nested sequents

  • Laboratoire d'Informatique (LIX)

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

10 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationFoundations 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
EditorsChristof Löding, Bart Jacobs
PublisherSpringer Verlag
Pages390-407
Number of pages18
ISBN (Print)9783662496299
DOIs
Publication statusPublished - 1 Jan 2016
Event19th 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, Netherlands
Duration: 2 Apr 20168 Apr 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9634
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th 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
Country/TerritoryNetherlands
CityEindhoven
Period2/04/168/04/16

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