English

A semantic account of strong normalization in Linear Logic

Logic in Computer Science 2014-08-28 v3 Logic

Abstract

We prove that given two cut free nets of linear logic, by means of their relational interpretations one can: 1) first determine whether or not the net obtained by cutting the two nets is strongly normalizable 2) then (in case it is strongly normalizable) compute the maximal length of the reduction sequences starting from that net.

Keywords

Cite

@article{arxiv.1304.6762,
  title  = {A semantic account of strong normalization in Linear Logic},
  author = {Daniel de Carvalho and Lorenzo Tortora de Falco},
  journal= {arXiv preprint arXiv:1304.6762},
  year   = {2014}
}

Comments

41 pages

R2 v1 2026-06-22T00:05:57.802Z