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http://hdl.handle.net/11320/14242
Tytuł: | Intuitionistic Propositional Calculus in the Extended Framework with Modal Operator. Part II |
Autorzy: | Inoué, Takao Hanaoka, Riku |
Słowa kluczowe: | intuitionistic logic deduction theorem consequence operator |
Data wydania: | 2022 |
Data dodania: | 29-gru-2022 |
Wydawca: | DeGruyter Open |
Źródło: | Formalized Mathematics, Volume 30, Issue 1, Pages 1-12 |
Abstrakt: | This paper is a continuation of Inou´e [5]. As already mentioned in the paper, a number of intuitionistic provable formulas are given with a Hilbert-style proof. For that, we make use of a family of intuitionistic deduction theorems, which are also presented in this paper by means of Mizar system [2], [1]. Our axiom system of intuitionistic propositional logic IPC is based on the propositional subsystem of H1-IQC in Troelstra and van Dalen [6, p. 68]. We also owe Heyting [4] and van Dalen [7]. Our treatment of a set-theoretic intuitionistic deduction theorem is due to Agata Darmochwał’s Mizar article “Calculus of Quantifiers. Deduction Theorem” [3]. |
Afiliacja: | Takao Inoué - Department of Medical Molecular Informatics, Meiji Pharmaceutical University, Tokyo, Japan; Graduate School of Science and Engineering, Hosei University, Tokyo, Japan; Department of Applied Informatics, Faculty of Science and Engineering, Hosei University, Tokyo, Japan Riku Hanaoka - Keyaki-Sou 403, Midori-cho 5-17-27, Koganei-city, 184-0003, Tokyo, Japan |
URI: | http://hdl.handle.net/11320/14242 |
DOI: | 10.2478/forma-2022-0001 |
ISSN: | 1426-2630 |
e-ISSN: | 1898-9934 |
metadata.dc.identifier.orcid: | 0000-0002-2080-7480 |
Typ Dokumentu: | Article |
metadata.dc.rights.uri: | https://creativecommons.org/licenses/by-sa/3.0/ |
Właściciel praw: | © 2022 The Author(s) CC BY-SA 3.0 license |
Występuje w kolekcji(ach): | Formalized Mathematics, 2022, Volume 30, Issue 1 |
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