English

Implicational Relevance Logic is 2-EXPTIME-Complete

Logic in Computer Science 2022-05-18 v4

Abstract

We show that provability in the implicational fragment of relevance logic is complete for doubly exponential time, using reductions to and from coverability in branching vector addition systems.

Keywords

Cite

@article{arxiv.1402.0705,
  title  = {Implicational Relevance Logic is 2-EXPTIME-Complete},
  author = {Sylvain Schmitz},
  journal= {arXiv preprint arXiv:1402.0705},
  year   = {2022}
}

Comments

Fixed Fig. 6 as pointed out by Hiromi Tanaka

R2 v1 2026-06-22T03:00:50.477Z