Labelled modal logics: Quantifiers
Journal of Logic, Language and Information 7 (3):237-263 (1998)
| Abstract | In previous work we gave an approach, based on labelled natural deduction, for formalizing proof systems for a large class of propositional modal logics that includes K, D, T, B, S4, S4.2, KD45, and S5. Here we extend this approach to quantified modal logics, providing formalizations for logics with varying, increasing, decreasing, or constant domains. The result is modular with respect to both properties of the accessibility relation in the Kripke frame and the way domains of individuals change between worlds. Our approach has a modular metatheory too; soundness, completeness and normalization are proved uniformly for every logic in our class. Finally, our work leads to a simple implementation of a modal logic theorem prover in a standard logical framework | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,705 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesMarta Bílková (2007). Uniform Interpolation and Propositional Quantifiers in Modal Logics. Studia Logica 85 (1):1 - 31.
D. M. Gabbay & U. Reyle (1997). Labelled Resolution for Classical and Non-Classical Logics. Studia Logica 59 (2):179-216.
Marcus Kracht & Frank Wolter (1997). Simulation and Transfer Results in Modal Logic – a Survey. Studia Logica 59 (2):149-177.
Stéphane Demri & Dov Gabbay (2000). On Modal Logics Characterized by Models with Relative Accessibility Relations: Part II. Studia Logica 66 (3):349-384.
Norihiro Kamide (2002). Kripke Semantics for Modal Substructural Logics. Journal of Logic, Language and Information 11 (4):453-470.
David Basin, Seán Matthews & Luca Viganò (1998). Natural Deduction for Non-Classical Logics. Studia Logica 60 (1):119-160.
Luca Viganò (2000). Labelled Non-Classical Logics. Kluwer Academic Publishers.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads7 ( #133,587 of 549,196 )Recent downloads (6 months)1 ( #63,397 of 549,196 )How can I increase my downloads? |
My notes
Discussion
