UPiIVERSAL FIRST-ORDER DEFINABILITY I N MODAL LOGIC by R. E. JENNIXGS and D. K. JOHNSTON in Burnaby, British Columbia (Canada) and P. K. SCHOTCH in Halifax, Nova Scotia (Canada)l) In [ l ] R. I. GOLDBLATT presents a model theoretic characterization of the class of modal sentences determined by firs
First-Order Classical Modal Logic
✍ Scribed by Horacio Arló-Costa; Eric Pacuit
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 377 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0039-3215
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📜 SIMILAR VOLUMES
Edited By Dale Jacquette. Includes Bibliographical References And Index.
## Abstract A variety of modal logics based on the relevant logic R are presented. Models are given for each of these logics and completeness is shown. It is also shown that each of these logics admits Ackermann's rule γ and as a corollary of this it is proved that each logic is a conservative exte
We consider first order modal logic C firstly defined by Carnap in "Meaning and Necessity" [1]. We prove elimination of nested modalities for this logic, which gives additionally the Skolem-Löwenheim theorem for C. We also evaluate the degree of unsolvability for C, by showing that it is exactly 0 .