NDLI: Hybrid Logic Meets IF Modal Logic

Content Provider	Springer Nature Link
Author	Tulenheimo, Tero
Copyright Year	2009
Abstract	The hybrid logic $${\mathcal{H}(@,\downarrow)}$$ and the independence friendly modal logic IFML are compared for their expressive powers. We introduce a logic IFML $_{ c }$ having a non-standard syntax and a compositional semantics; in terms of this logic a syntactic fragment of IFML is singled out, denoted IFML $_{ c }$. (In the Appendix it is shown that the game-theoretic semantics of IFML $_{ c }$ coincides with the compositional semantics of IFML $_{ c }$.) The hybrid logic $${\mathcal{H}(@,\downarrow)}$$ is proven to be strictly more expressive than IFML $_{ c }$. By contrast, $${\mathcal{H}(@,\downarrow)}$$ and the full IFML are shown to be incomparable for their expressive powers. Building on earlier research (Tulenheimo and Sevenster 2006), a PSPACE-decidable fragment of the undecidable logic $${\mathcal{H}(@,\downarrow)}$$ is disclosed. This fragment is not translatable into the hybrid logic $${\mathcal{H}(@)}$$ and has not been studied previously in connection with hybrid logics. In the Appendix IFML $_{ c }$ is shown to lack the property of ‘quasi-positionality’ but proven to enjoy the weaker property of ‘bounded quasi-positionality’. The latter fact provides from the IFML internal perspective an account of what makes the compositional semantics of IFML $_{ c }$ possible.
Starting Page	559
Ending Page	591
Page Count	33
File Format	PDF
ISSN	09258531
Journal	Journal of Logic, Language and Information
Volume Number	18
Issue Number	4
e-ISSN	15729583
Language	English
Publisher	Springer Netherlands
Publisher Date	2009-04-28
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Compositionality Decidability Expressive power Game-theoretic semantics Hybrid logic Independence friendly logic Modal logic Information Systems Applications (incl.Internet) Semantics Logic
Content Type	Text
Resource Type	Article
Subject	Philosophy Computer Science Linguistics and Language

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