An order-theoretic analysis of interpretations among propositional deductive systems

Details An order-theoretic analysis of interpretations among propositional deductive systems An order-theoretic analysis of interpretations among propositional deductive systems

2012-02-08

arxiv.org/abs/1202.1755v1

Mathematics

Logic

Scientific paper

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.

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