Title
Undecidability of Multi-modal Hybrid Logics
Abstract
This paper establishes undecidability of satisfiability for multi-modal logic equipped with the hybrid binder @7, with respect to frame classes over which the same language with only one modality is decidable. This is in contrast to the usual behaviour of many modal and hybrid logics, whose uni-modal and multi-modal versions do not differ in terms of decidability and, quite often, complexity. The results from this paper apply to a wide range of frame classes including temporally and epistemically relevant ones.
Year
DOI
Venue
2007
10.1016/j.entcs.2006.11.024
Electr. Notes Theor. Comput. Sci.
Keywords
Field
DocType
modal logic,multi-modal hybrid logics,multi-modal logic,downarrow operator,computational complexity,multi-modal version,usual behaviour,hybrid binder,hybrid logic,wide range,frame class,satisfiability
Hybrid logic,Discrete mathematics,Accessibility relation,Normal modal logic,Computer science,Satisfiability,Multimodal logic,Theoretical computer science,Decidability,Modal logic,Modal
Journal
Volume
Issue
ISSN
174
6
Electronic Notes in Theoretical Computer Science
Citations 
PageRank 
References 
6
0.47
15
Authors
2
Name
Order
Citations
PageRank
Martin Mundhenk1232.95
Thomas Schneider2556.54