Title
The Proof by Cases Property and its Variants in Structural Consequence Relations
Abstract
This paper is a contribution to the study of the rôle 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.
Year
DOI
Venue
2013
10.1007/s11225-013-9496-1
Studia Logica
Keywords
Field
DocType
Abstract Algebraic Logic,Generalized disjunction,Proof by cases properties,Consequence relations,Filter-distributive logics,Protoalgebraic logics
Discrete mathematics,T-norm fuzzy logics,Disjunction elimination,Multitude,Algorithm,Finitary,Abstract algebraic logic,Mathematics
Journal
Volume
Issue
ISSN
101
4
0039-3215
Citations 
PageRank 
References 
15
0.92
10
Authors
2
Name
Order
Citations
PageRank
Petr Cintula160150.37
Carles Noguera246233.93