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arXiv · 2405.03669

IMELL Cut Elimination with Linear Overhead

Beniamino Accattoli·Claudio Sacerdoti Coen
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Abstract

Recently, Accattoli introduced the Exponential Substitution Calculus (ESC) given by untyped proof terms for Intuitionistic Multiplicative Exponential Linear Logic (IMELL), endowed with rewriting rules at-a-distance for cut elimination. He also introduced a new cut elimination strategy, dubbed the good strategy, and showed that its number of steps is a time cost model with polynomial overhead for the ESC/IMELL, and the first such one. Here, we refine Accattoli's result by introducing an abstract machine for ESC and proving that it implements the good strategy and computes cut-free terms/proofs within a linear overhead.

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Beniamino Accattoli, Claudio Sacerdoti Coen. 2024-05-14. IMELL Cut Elimination with Linear Overhead. https://arxiv.org/abs/2405.03669

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