English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Conference Paper

A Modular Presentation of Modal Logics in a Logical Framework

MPS-Authors
/persons/resource/persons44075

Basin,  David A.
Programming Logics, MPI for Informatics, Max Planck Society;

/persons/resource/persons45002

Matthews,  Seán
Programming Logics, MPI for Informatics, Max Planck Society;

/persons/resource/persons45670

Viganò,  Luca
Programming Logics, MPI for Informatics, Max Planck Society;

External Ressource
No external resources are shared
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Basin, D. A., Matthews, S., & Viganò, L. (1998). A Modular Presentation of Modal Logics in a Logical Framework. In J. Ginzburg, Z. Khasidashvili, C. Vogel, J.-J. Levy, & E. Vallduvi (Eds.), Proceedings of the 1st Tbilisi Symposium on Language, Logic and Computation: Selected Papers (pp. 293-307). Stanford, USA: CSLI.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-3811-0
Abstract
We present a theoretical and practical approach to the modular natural deduction presentation of modal logics and their implementation in a logical framework. Our work treats a large and well-known class of modal logics (including $K$, $KD$, $T$, $B$, $S4$, $S4.2$, $S5$) in a uniform way with respect to soundness and completeness for semantics, and faithfulness and adequacy of the implementation. Moreover, it results in a pleasingly simple and usable implementation of these logics.