dc.contributor.author | Pietruszczak, Andrzej | |
dc.date.accessioned | 2025-02-05T13:36:55Z | |
dc.date.available | 2025-02-05T13:36:55Z | |
dc.date.issued | 2024-06-24 | |
dc.identifier.issn | 0138-0680 | |
dc.identifier.uri | http://hdl.handle.net/11089/54526 | |
dc.description.abstract | The paper studies extensions of t-normal logics S0.5o and S0.5 obtained by means of some axioms of normal logics. We will prove determination theorems for these extensions by appropriate Kripke-style models. It will allow us to obtain the determinations of the logics K45, KB4 (= KB5), KD45 and S5 without using modal rules. | en |
dc.language.iso | en | |
dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl |
dc.relation.ispartofseries | Bulletin of the Section of Logic;4 | en |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0 | |
dc.subject | modal logic | en |
dc.subject | t-normal logics | en |
dc.subject | Kripke-style semantics | en |
dc.title | Some Additional Axioms for T-normal Logics. Defining K45, KB4, KD45 and S5 without Using Modal Rules | en |
dc.type | Article | |
dc.page.number | 511-533 | |
dc.contributor.authorAffiliation | Nicolaus Copernicus University in Toruń, Department of Logic, Poland | en |
dc.identifier.eissn | 2449-836X | |
dc.references | B. F. Chellas, Modal Logic: An Introduction, Cambridge University Press, Cambridge (1980), DOI: https://doi.org/10.1017/CBO9780511621192 | en |
dc.references | G. E. Hughes, M. J. Cresswell, A New Introduction to Modal Logic, Routledge, London and New York (1966). | en |
dc.references | E. J. Lemmon, New foundations for Lewis modal systems, The Journal of Symbolic Logic, vol. 22(2) (1957), pp. 176–186, DOI: https://doi.org/10.2307/29641792 | en |
dc.references | A. Pietruszczak, Simplified Kripke style semantics for modal logics K45, KB4 and KD45, Bulletin of the Section of Logic, vol. 38(3/4) (2009), pp. 163–171. | en |
dc.references | A. Pietruszczak, Simplified Kripke style semantics for some very weak modal logics, Logic and Logical Philosophy, vol. 18(3–4) (2009), pp. 271–296, DOI: https://doi.org/10.12775/LLP.2009.013 | en |
dc.references | A. Pietruszczak, Semantical investigations on some weak modal logics. Part I, Bulletin of the Section of Logic, vol. 41(1/2) (2012), pp. 33–50. | en |
dc.references | A. Pietruszczak, Semantical investigations on some weak modal logics. Part II, Bulletin of the Section of Logic, vol. 41(3/4) (2012), pp. 109–130. | en |
dc.references | R. Routley, Decision procedure and semantics for C1, E1 and S0.5º, Logique et Analyse, vol. 11(44) (1968), pp. 468–471. | en |
dc.contributor.authorEmail | Andrzej.Pietruszczak@umk.pl | |
dc.identifier.doi | 10.18778/0138-0680.2024.12 | |
dc.relation.volume | 53 | |