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

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Autor(es):
Coniglio, Marcelo E. ; Corbalan, Maria I.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE; v. N/A, n. 113, p. 12-pg., 2013-01-01.
Resumo

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)

Processo FAPESP: 10/51038-0 - Logical consequence, reasoning and computation - LOGCONS
Beneficiário:Walter Alexandre Carnielli
Modalidade de apoio: Auxílio à Pesquisa - Temático