English

An order-theoretic analysis of interpretations among propositional deductive systems

Logic 2021-05-21 v4

Abstract

In this paper we study interpretations and equivalences of propositional deductive systems by using a quantale-theoretic approach introduced by Galatos and Tsinakis. Our aim is to provide a general order-theoretic framework which is able to describe and characterize both strong and weak forms of interpretations among propositional deductive systems also in the cases where the systems have different underlying languages.

Keywords

Cite

@article{arxiv.1202.1755,
  title  = {An order-theoretic analysis of interpretations among propositional deductive systems},
  author = {Ciro Russo},
  journal= {arXiv preprint arXiv:1202.1755},
  year   = {2021}
}
R2 v1 2026-06-21T20:16:39.185Z