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A feasible algorithm for typing in Elementary Affine Logic

2004/12/08 by Patrick Baillot, Baillot, Patrick, Kazushige Terui +1
Computer Science · #FOS: Computer and information sciences #Formal Methods in Verification #Logic in Computer Science (cs.LO) #Logic, programming, and type systems #cs.LO #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.cs/0412028

20 pages

arxiv created 2004/12/08 · openalex publication_date 2004/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new type inference algorithm for typing lambda-terms in Elementary Affine Logic (EAL), which is motivated by applications to complexity and optimal reduction. Following previous references on this topic, the variant of EAL type system we consider (denoted EAL*) is a variant without sharing and without polymorphism. Our algorithm improves over the ones already known in that it offers a better complexity bound: if a simple type derivation for the term t is given our algorithm performs EAL* type inference in polynomial time.

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