English

An Investigation of Kripke-style Modal Type Theories

Logic in Computer Science 2023-05-12 v5 Programming Languages

Abstract

This technical report investigates Kripke-style modal type theories, both simply typed and dependently typed. We examine basic meta-theories of the type theories, develop their substitution calculi, and give normalization by evaluation algorithms.

Keywords

Cite

@article{arxiv.2206.07823,
  title  = {An Investigation of Kripke-style Modal Type Theories},
  author = {Jason Z. S. Hu and Brigitte Pientka},
  journal= {arXiv preprint arXiv:2206.07823},
  year   = {2023}
}