Geodesic
Cut Elimination Theorem for Non-Commutative Hypersequent Calculus
Bulletin of the Section of Logic, Tome 46 (2017) no. 1-2 Cet article a éte moissonné depuis la source Library of Science

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Hypersequent calculi (HC) can formalize various non-classical logics. In [9] we presented a non-commutative variant of HC for the weakest temporal logic of linear frames Kt4.3 and some its extensions for dense and serial flow of time. The system was proved to be cut-free HC formalization of respective temporal logics by means of Schütte/Hintikka-style semantical argument using models built from saturated hypersequents. In this paper we present a variant of this calculus for Kt4.3 with a constructive syntactical proof of cut elimination.
Keywords: temporal logic, linear time, hypersequent calculus, cut elimination 
@article{BSL_2017_46_1-2_a0,
     author = {Indrzejczak, Andrzej},
     title = {Cut {Elimination} {Theorem} for {Non-Commutative} {Hypersequent} {Calculus}},
     journal = {Bulletin of the Section of Logic},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2017_46_1-2_a0/}
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Indrzejczak, Andrzej. Cut Elimination Theorem for Non-Commutative Hypersequent Calculus. Bulletin of the Section of Logic, Tome 46 (2017) no. 1-2. http://geodesic.mathdoc.fr/item/BSL_2017_46_1-2_a0/