Semantical investigations on some weak modal logics. Part II

dc.contributor.authorPietruszczak, Andrzej
dc.date.accessioned2024-02-16T12:42:28Z
dc.date.available2024-02-16T12:42:28Z
dc.date.issued2012
dc.description.sponsorshipIn this paper, we examine weak logics similar to S0.5[\Box Φ], where Φ ⊆ S0.5. We also examine their versions (one of which is S0.5rte[\Box Φ]) that are closed under the replacement of tautological equivalents (rte). We have that: S0.5rte[\Box(K), \Box(T)]⊆ S0.9, S0.5rte[\Box(X), \Box(T)] S0.5rte[\Box(K), \Box(T)]⊆ S1, and in general, if Φ ⊆ E1, then S0.5rte[\Box Φ] ⊆ S2. In the present part, we give simplified semantics for these logics, formulated by means of some Kripke-style models. We prove that the logics in question are determined by some classes of these models.pl
dc.identifier.citationBulletin of the Section of Logic vol. 41:(3/4), 2012, pp. 109–130pl
dc.identifier.issn0138-0680
dc.identifier.urihttp://repozytorium.umk.pl/handle/item/6987
dc.language.isoengpl
dc.publisherLodz University Presspl
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Poland*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/pl/*
dc.subjectvery weak modal logicspl
dc.subjectsimplified Kripke-style semanticspl
dc.titleSemantical investigations on some weak modal logics. Part IIpl
dc.typeinfo:eu-repo/semantics/articlepl

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