Title
Equivalence Criteria for Compositional IF Modal Logics
Abstract
An IF modal logic L with a compositional semantics is formulated, generalizing the logic L"S"D introduced in [T. Tulenheimo, and M. Sevenster, On modal logic, IF logic and IF modal logic, in G. Governatori et al. (eds.): ''Advances in Modal Logic''6, 481-501, College Publications, 2006]. Syntactic fragments L"1, L"2, L"3, L"4 are discerned. For each fragment, we study the relation of L"i-equivalence: an equivalence relation between pointed models holding if and only if they satisfy precisely the same formulas of L"i. A criterion for L"i-equivalence is formulated in terms of model-comparison games, by imposing further conditions in addition to bisimilarity. Using the resulting methods for establishing indistinguishability w.r.t. L"i, the relative expressive powers of the four fragments are determined.
Year
DOI
Venue
2009
10.1016/j.entcs.2009.02.034
Electr. Notes Theor. Comput. Sci.
Keywords
Field
DocType
logic l,equivalence criteria,modal logic,pointed model,equivalence relation,t. tulenheimo,expressive power,m. sevenster,college publications,modal logics,indistinguishability w,compositional semantics,convergence,model-comparison game,transition system,bisimulation,independence friendly logic,satisfiability
Discrete mathematics,Accessibility relation,Normal modal logic,Multimodal logic,Modal operator,Modal logic,Dynamic logic (modal logic),Mathematics,Intermediate logic,S5
Journal
Volume
ISSN
Citations 
231,
Electronic Notes in Theoretical Computer Science
1
PageRank 
References 
Authors
0.36
9
2
Name
Order
Citations
PageRank
Tero Tulenheimo1165.19
Manuel Rebuschi211.04