Advanced search
Start date
Betweenand


Sequent Calculi for the classical fragment of Bochvar and Hallden's Nonsense Logics

Full text
Author(s):
Coniglio, Marcelo E. ; Corbalan, Maria I.
Total Authors: 2
Document type: Journal article
Source: ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE; v. N/A, n. 113, p. 12-pg., 2013-01-01.
Abstract

In this paper sequent calculi for the classical fragment (that is, the conjunction-disjunction-implication-negation fragment) of the nonsense logics B-3, introduced by Bochvar, and H-3, introduced by Hallden, are presented. These calculi are obtained by restricting in an appropriate way the application of the rules of a sequent calculus for classical propositional logic CPL. The nice symmetry between the provisos in the rules reveal the semantical relationship between these logics. The Soundness and Completeness theorems for both calculi are obtained, as well as the respective Cut elimination theorems. (AU)

FAPESP's process: 10/51038-0 - Logical consequence, reasoning and computation - LOGCONS
Grantee:Walter Alexandre Carnielli
Support Opportunities: Research Projects - Thematic Grants