arXiv Analytics

Sign in

arXiv:1202.1755 [math.LO]AbstractReferencesReviewsResources

An order-theoretic analysis of interpretations among propositional deductive systems

Ciro Russo

Published 2012-02-08, updated 2015-06-03Version 3

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.

Journal: Annals of Pure and Applied Logic, Vol. 164, Issue 2, 112-130, 2013
Categories: math.LO
Subjects: 03G27, 06F07
Related articles:
arXiv:1709.07341 [math.LO] (Published 2017-09-21)
Interpretations in Presburger Arithmetic
arXiv:2004.03404 [math.LO] (Published 2020-04-05)
Multi-Dimensional Interpretations of Presburger Arithmetic in Itself
arXiv:2312.17616 [math.LO] (Published 2023-12-29)
Interpretations of syntactic fragments of theories of fields