A modal logic internalizing normal proofs
โ Scribed by Sungwoo Park; Hyeonseung Im
- Book ID
- 113641931
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 234 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0890-5401
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Edited By Dale Jacquette. Includes Bibliographical References And Index.
## Abstract We present sequent calculi for normal modal logics where modal and propositional behaviours are separated, and we prove a cut elimination theorem for the basic system K, so as completeness theorems (in the new style) both for K itself and for its most popular enrichments. MSC: 03B45, 03
The standard rule of necessitation in systems of natural deduction for the modal logic S4 concludes A from A whenever all assumptions A depends on are modal formulas. This condition prevents the composability and normalization of derivations, and therefore modifications of the rule have been suggest