Cut-Elimination and a Permutation-Free Sequent Calculus for Intuitionistic Logic
نویسندگان
چکیده
We describe a sequent calculus, based on work of Herbelin, of which the cut-free derivations are in 1-1 correspondence with the normal natural deduction proofs of intuitionistic logic. We present a simple proof of Herbelin’s strong cutelimination theorem for the calculus, using the recursive path ordering theorem of Dershowitz.
منابع مشابه
A permutation-free sequent calculus for intuitionistic logic
We describe a sequent calculus MJ, based on work of Herbelin, of which the cutfree derivations are in 1-1 correspondence with the normal natural deduction proofs of intuitionistic logic. MJ (without cut) has the sub-formula property and is therefore convenient for automated proof search; it admits no permutations and therefore avoids some of the backtracking problems in LJ. We present a simple ...
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عنوان ژورنال:
- Studia Logica
دوره 60 شماره
صفحات -
تاریخ انتشار 1998