English

A two-dimensional metric temporal logic

Logic 2019-03-15 v1 Logic in Computer Science

Abstract

We introduce a two-dimensional metric (interval) temporal logic whose internal and external time flows are dense linear orderings. We provide a suitable semantics and a sequent calculus with axioms for equality and extralogical axioms. Then we prove completeness and a semantic partial cut-elimination theorem down to formulas of a certain type.

Keywords

Cite

@article{arxiv.1903.05894,
  title  = {A two-dimensional metric temporal logic},
  author = {Stefano Baratella and Andrea Masini},
  journal= {arXiv preprint arXiv:1903.05894},
  year   = {2019}
}
R2 v1 2026-06-23T08:07:51.366Z