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arXiv · 1810.07373

Fast Cut-Elimination using Proof Terms: An Empirical Study

Gabriel Ebner
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Abstract

Urban and Bierman introduced a calculus of proof terms for the sequent calculus LK with a strongly normalizing reduction relation. We extend this calculus to simply-typed higher-order logic with inferences for induction and equality, albeit without strong normalization. We implement thiscalculus in GAPT, our library for proof transformations. Evaluating the normalization on both artificial and real-world benchmarks, we show that this algorithm is typically several orders of magnitude faster than the existing Gentzen-like cut-reduction, and an order of magnitude faster than any other cut-elimination procedure implemented in GAPT.

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Gabriel Ebner. 2018-10-17. Fast Cut-Elimination using Proof Terms: An Empirical Study. https://doi.org/10.4204/eptcs.281.3

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