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

0395571 - ÚI 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. E-ISSN 1572-8730
Grant CEP: GA MŠMT(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