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The Proof by Cases Property and its Variants in Structural Consequence Relations

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    0395571 - UIVT-O 2014 RIV NL eng J - Článek v odborném periodiku
    Cintula, Petr - Noguera, Carles
    The Proof by Cases Property and its Variants in Structural Consequence Relations.
    Studia Logica. Roč. 101, č. 4 (2013), s. 713-747. ISSN 0039-3215
    Grant CEP: GA MŠk(CZ) 1M0545
    GRANT EU: European Commission(XE) 247584 - MATOMUVI
    Výzkumný záměr: CEZ:AV0Z1030915
    Institucionální podpora: RVO:67985556
    Klíčová slova: Abstract Algebraic Logic * Generalized disjunction * Proof by cases properties * Consequence relations * Filter-distributive logics * Protoalgebraic logics
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.330, rok: 2013

    This paper is a contribution to the study of the role of disjunction in Abstract Algebraic Logic. Several kinds of (generalized) disjunctions, usually defined using a suitable variant of the proof by cases property, were introduced and extensively studied in the literature mainly in the context of finitary logics. The goals of this paper are to extend these results to all logics, to systematize the multitude of notions of disjunction (both those already considered in the literature and those introduced in this paper), and to show several interesting applications allowed by the presence of a suitable disjunction in a given logic.
    Trvalý link: http://hdl.handle.net/11104/0223575
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