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A New Arithmetically Incomplete First- Order Extension of Gl All Theorems of Which Have Cut Free Proofs
(Wydawnictwo Uniwersytetu Łódzkiego, 2016)
Reference [12] introduced a novel formula to formula translation tool (“formulators”) that enables syntactic metatheoretical investigations of first-order modal logics, bypassing a need to convert them first into Gentzen ...
A Short and Readable Proof of Cut Elimination for Two First-Order Modal Logics
(Wydawnictwo Uniwersytetu Łódzkiego, 2015)
A well established technique toward developing the proof theory of a Hilbert-style modal logic is to introduce a Gentzen-style equivalent (a Gentzenisation), then develop the proof theory of the latter, and finally transfer ...