A spatial modal logic with a location interpretation
β Scribed by Norihiro Kamide
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 141 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
A spatial modal logic (SML) is introduced as an extension of the modal logic S4 with the addition of certain spatial operators. A sound and complete Kripke semantics with a natural space (or location) interpretation is obtained for SML. The finite model property with respect to the semantics for SML and the cut-elimination theorem for a modified subsystem of SML are also presented.
π SIMILAR VOLUMES
Edited By Dale Jacquette. Includes Bibliographical References And Index.
In this paper we study paraconsistent negation as a modal operator, considering the fact that the classical negation of necessity has a paraconsistent behavior. We examine this operator on the one hand in the modal logic S5 and on the other hand in some new four-valued modal logics.