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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Unifying logics via context-sensitiveness

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Author(s):
Piazza, Mario ; Pulcini, Gabriele
Total Authors: 2
Document type: Journal article
Source: JOURNAL OF LOGIC AND COMPUTATION; v. 27, n. 1, p. 21-40, FEB 2017.
Web of Science Citations: 6
Abstract

The goal of this article is to design a uniform proof-theoretical framework encompassing classical, non-monotonic and paraconsistent logic. This framework is obtained by the control sets logical device, a syntactical apparatus for controlling derivations. Abasic feature of control sets is that of leaving the underlying syntax of a proof system unchanged, while affecting the very combinatorial structure of sequents and proofs. We prove the cut-elimination theorem for a version of controlled propositional classical logic, i. e. the sequent calculus for classical propositional logic to which a suitable system of control sets is applied. Finally, we outline the skeleton of a new (positive) account of non- monotonicity and paraconsistency in terms of concurrent processes. (AU)

FAPESP's process: 13/22371-0 - Towards a unified setting for non-monotony and paraconsistency
Grantee:Gabriele Pulcini
Support type: Scholarships in Brazil - Post-Doctorate