Now showing items 1-3 of 3
Rule-Generation Theorem and its Applications
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
In several applications of sequent calculi going beyond pure logic, an introduction of suitably defined rules seems to be more profitable than addition of extra axiomatic sequents. A program of formalization of mathematical ...
Simple Decision Procedure for S5 in Standard Cut-Free Sequent Calculus
(Wydawnictwo Uniwersytetu Łódzkiego, 2016)
In the paper a decision procedure for S5 is presented which uses a cut-free sequent calculus with additional rules allowing a reduction to normal modal forms. It utilizes the fact that in S5 every formula is equivalent to ...
Cut Elimination Theorem for Non-Commutative Hypersequent Calculus
(Wydawnictwo Uniwersytetu Łódzkiego, 2017)
Hypersequent calculi (HC) can formalize various non-classical logics. In  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 ...