| Journal: | Computación y sistemas |
| Database: | |
| System number: | 000560780 |
| ISSN: | 1405-5546 |
| Authors: | Miranda Perea, Favio E.1 Estrada Zavaleta, Ximena2 González Huesca, Lourdes del Carmen1 |
| Institutions: | 1Universidad Nacional Autónoma de México, Facultad de Ciencias, México 2Universidad Nacional Autónoma de México, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, México |
| Year: | 2023 |
| Season: | Ene-Mar |
| Volumen: | 27 |
| Number: | 1 |
| Pages: | 315-326 |
| Country: | México |
| Language: | Inglés |
| English abstract | The question of defining a Jaśkowski-Fitch natural deduction system for modal logic has been settled since the very introduction of such formalisms in the middle of the last century. In contrast, a sequent-style formulation of this approach has only been discussed since the turn of this century but exclusively from the point of view of type theories. In this paper we propose a substructural sequent-style deductive system, based on previous ideas by Borghuis and Clouston, which captures Fitch-style for modal logic in a faithful way, meaning that the features of the original diagrammatic proofs are enforced by the sequent rules. This answers the question of what is a sequent-style version of Fitch-style natural deduction in the case of the necessity fragment of minimal modal logic S 4. |
| Keyword: | Natural deduction, Fitch-style, Modal necessity, Substructural logics, Sequents |
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