English

Modular Termination for Second-Order Computation Rules and Application to Algebraic Effect Handlers

Symbolic Computation 2023-06-22 v9 Logic in Computer Science

Abstract

We present a new modular proof method of termination for second-order computation, and report its implementation SOL. The proof method is useful for proving termination of higher-order foundational calculi. To establish the method, we use a variation of semantic labelling translation and Blanqui's General Schema: a syntactic criterion of strong normalisation. As an application, we apply this method to show termination of a variant of call-by-push-value calculus with algebraic effects and effect handlers. We also show that our tool SOL is effective to solve higher-order termination problems.

Keywords

Cite

@article{arxiv.1912.03434,
  title  = {Modular Termination for Second-Order Computation Rules and Application to Algebraic Effect Handlers},
  author = {Makoto Hamana},
  journal= {arXiv preprint arXiv:1912.03434},
  year   = {2023}
}
R2 v1 2026-06-23T12:38:44.635Z