English

A formalization of System I with type Top in Agda

Logic in Computer Science 2026-03-26 v1 Programming Languages

Abstract

System I is a recently introduced simply-typed lambda calculus with pairs where isomorphic types are considered equal. In this work we propose a variant of System I with the type Top, and present a complete formalization of this calculus in Agda, which includes the proofs of progress and strong normalization.

Keywords

Cite

@article{arxiv.2603.23652,
  title  = {A formalization of System I with type Top in Agda},
  author = {Agustín Séttimo and Cristian Sottile and Cecilia Manzino},
  journal= {arXiv preprint arXiv:2603.23652},
  year   = {2026}
}