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A local system for intuitionistic logic

Tiu, Alwen


This paper presents systems for first-order intuitionistic logic and several of its extensions in which all the prepositional rules are local, in the sense that, in applying the rules of the system, one needs only a fixed amount of information about the logical expressions involved. The main source of non-locality is the contraction rules. We show that the contraction rules can be restricted to the atomic ones, provided we employ deep-inference, i.e., to allow rules to apply anywhere inside...[Show more]

CollectionsANU Research Publications
Date published: 2006
Type: Conference paper
Source: Proceedings of International Conference on Logic for Programming, Artificial Intelligence and Reasoning (LPAR 2006)


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