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A Coinductive Approach to Proving Reachability Properties in Logically Constrained Term Rewriting Systems

Logic in Computer Science 2018-04-24 v1

Abstract

We introduce a sound and complete coinductive proof system for reachability properties in transition systems generated by logically constrained term rewriting rules over an order-sorted signature modulo builtins. A key feature of the calculus is a circularity proof rule, which allows to obtain finite representations of the infinite coinductive proofs.

Keywords

Cite

@article{arxiv.1804.08308,
  title  = {A Coinductive Approach to Proving Reachability Properties in Logically Constrained Term Rewriting Systems},
  author = {Ştefan Ciobâcă and Dorel Lucanu},
  journal= {arXiv preprint arXiv:1804.08308},
  year   = {2018}
}

Comments

Extended version of IJCAR 2018 article

R2 v1 2026-06-23T01:32:12.287Z