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A semantic account of strong normalization in Linear Logic

2013/04/24 by Daniel de Carvalho, Lorenzo Tortora de Falco, de Carvalho, Daniel +1 · 1 citation
Computer Science · Mathematics · #Formal Methods in Verification #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #cs.LO #math.LO

paper · pdf · doi:10.48550/arxiv.1304.6762

41 pages

arxiv created 2014/08/26 · arxiv updated 2014/08/28

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.

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