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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.)

Uniqueness of axiomatic extensions of cut-free classical propositional logic

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Author(s):
Piazza, Mario ; Pulcini, Gabriele
Total Authors: 2
Document type: Journal article
Source: LOGIC JOURNAL OF THE IGPL; v. 24, n. 5, p. 708-718, OCT 2016.
Web of Science Citations: 0
Abstract

In this article, we prove that, for any cluster of extra-logical assumptions, there exists exactly one axiomatic (i.e. minimal) extension of classical propositional logic that admits cut elimination. As a corollary, it follows that classically equivalent formulas share the same axiomatization. The moral is that cut elimination `flattens' the specific information encoded by the logical structure of proper axioms. (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