A note on sequent calculi intermediate between LJ and LK

Studia Logica 47 (2):151 - 157 (1988)
We prove that every finitely axiomatizable extension of Heyting's intuitionistic logic has a corresponding cut-free Gentzen-type formulation. It is shown how one can use this result to find the corresponding normalizable natural deduction system and to give a criterion for separability of considered logic. Obviously, the question how to obtain an effective definition of a sequent calculus which corresponds to a concrete logic remains a separate problem for every logic.
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DOI 10.1007/BF00370289
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References found in this work BETA
Proof Theory.Gaisi Takeuti - 1987 - Elsevier.
On Sequence-Conclusion Natural Deduction Systems.Branislav R. Boričić - 1985 - Journal of Philosophical Logic 14 (4):359 - 377.
On Intermediate Propositional Logics.Toshio Umezawa - 1959 - Journal of Symbolic Logic 24 (1):20-36.

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