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An Infinitary Proof Theory of Linear Logic Ensuring Fair Termination in the Linear π-Calculus Ciccone, Luca Padovani, Luca Linear π-calculus Linear Logic Fixed Points Fair Termination Fair termination is the property of programs that may diverge "in principle" but that terminate "in practice", i.e. under suitable fairness assumptions concerning the resolution of non-deterministic choices. We study a conservative extension of μMALL^∞, the infinitary proof system of the multiplicative additive fragment of linear logic with least and greatest fixed points, such that cut elimination corresponds to fair termination. Proof terms are processes of πLIN, a variant of the linear π-calculus with (co)recursive types into which binary and (some) multiparty sessions can be encoded. As a result we obtain a behavioral type system for πLIN (and indirectly for session calculi through their encoding into πLIN) that ensures fair termination: although well-typed processes may engage in arbitrarily long interactions, they are fairly guaranteed to eventually perform all pending actions. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Luca Ciccone and Luca Padovani 2022 Is Part Of LIPIcs, Volume 243, 33rd International Conference on Concurrency Theory (CONCUR 2022) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.CONCUR.2022.36 urn:nbn:de:0030-drops-170990 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2022.36 eng https://creativecommons.org/licenses/by/4.0/legalcode