A New Linear Logic for Deadlock-Free Session-Typed Processes

Dardha, O. and Gay, S. J. (2018) A New Linear Logic for Deadlock-Free Session-Typed Processes. In: 21st International Conference on Foundations of Software Science and Computation Structures (FoSSaCS), Thessaloniki, Greece, 16-19 Apr 2018, pp. 91-109. (doi:10.1007/978-3-319-89366-2_5)

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Abstract

The π -calculus, viewed as a core concurrent programming language, has been used as the target of much research on type systems for concurrency. In this paper we propose a new type system for deadlock-free session-typed π -calculus processes, by integrating two separate lines of work. The first is the propositions-as-types approach by Caires and Pfenning, which provides a linear logic foundation for session types and guarantees deadlock-freedom by forbidding cyclic process connections. The second is Kobayashi’s approach in which types are annotated with priorities so that the type system can check whether or not processes contain genuine cyclic dependencies between communication operations. We combine these two techniques for the first time, and define a new and more expressive variant of classical linear logic with a proof assignment that gives a session type system with Kobayashi-style priorities. This can be seen in three ways: (i) as a new linear logic in which cyclic structures can be derived and a CYCLE -elimination theorem generalises CUT -elimination; (ii) as a logically-based session type system, which is more expressive than Caires and Pfenning’s; (iii) as a logical foundation for Kobayashi’s system, bringing it into the sphere of the propositions-as-types paradigm.

Item Type:Conference Proceedings
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Gay, Professor Simon and Dardha, Dr Ornela
Authors: Dardha, O., and Gay, S. J.
College/School:College of Science and Engineering > School of Computing Science
ISSN:0302-9743
Published Online:14 April 2018
Copyright Holders:Copyright © 2018 The Authors
First Published:First published in Lecture Notes in Computer Science 10803:91-103
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
612411From Data Types to Session Types - A Basis for Concurrency and Distribution.Simon GayEngineering and Physical Sciences Research Council (EPSRC)EP/K034413/1COM - COMPUTING SCIENCE