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Proof theory and proof search of bi-intuitionistic and tense logic

Postniece, Linda

Description

In this thesis, we consider bi-intuitionistic logic and tense logic, as well as the combined bi-intuitionistic tense logic. Each of these logics contains a pair of dual connectives, for example, Rauszer's bi-intuitionistic logic contains intuitionistic implication and dual intuitionistic exclusion. The interaction between these dual connectives makes it non-trivial to develop a cut-free sequent calculus for these logics. In the first part of this thesis we develop a new extended sequent...[Show more]

CollectionsOpen Access Theses
Date published: 2010
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/150486
DOI: 10.25911/5d5fcc3a4db33
Access Rights: Open Access

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