Hybrid Logics with Infinitary Proof Systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2006 Netherlands English Publisher:Oxford University Press (OUP)Journal:Journal of Logic and Computation, volume 16, pages 161-175 (issn: 0955-792X, eissn: 1465-363X,

Copyright policy )

Authors: Kooi, Barteld; Renardel de Lavalette, Gerard; Verbrugge, Rineke;

doi: 10.1093/logcom/exi086

handle: 11370/06642488-acb0-460a-918c-3d48fd21625b

Hybrid Logics with Infinitary Proof Systems

- Summary
- Subjects
- Metrics

Abstract

We provide a strongly complete infinitary proof system for hybrid logic. This proof system can be extended with countably many sequents. Thus, although these logics may be non-compact, strong completeness proofs are provided for infinitary hybrid versions of non-compact logics like ancestral logic and Segerberg's modal logic with the bounded chain condition. This extends the completeness result for hybrid logics by Gargov, Passy, and Tinchev.

Country

Netherlands

Related Organizations

University of Groningen
Netherlands

Keywords

non-compact logics, infinitary proof rules, strong completeness, hybrid logic

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average