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Context-free session types provide a typing discipline for recursive structured communication protocols on bidirectional channels. They overcome the restriction of regular session type systems to tail recursive protocols. This extension…

Programming Languages · Computer Science 2022-08-03 Bernardo Almeida , Andreia Mordido , Peter Thiemann , Vasco T. Vasconcelos

Session-types specify communication protocols for communicating processes, and session-typed languages are often specified using substructural operational semantics given by multiset rewriting systems. We give an observed communication…

Programming Languages · Computer Science 2020-09-01 Ryan Kavanagh

Session types provide guarantees about concurrent behaviour and can be understood through their correspondence with linear logic, with propositions as sessions and proofs as processes. However, a strictly linear setting is somewhat…

Programming Languages · Computer Science 2024-10-23 Danielle Marshall , Dominic Orchard

We develop a dependent type theory that is based purely on inductive and coinductive types, and the corresponding recursion and corecursion principles. This results in a type theory with a small set of rules, while still being fairly…

Logic in Computer Science · Computer Science 2016-05-10 Henning Basold , Herman Geuvers

Timed session types formalise timed communication protocols between two participants at the endpoints of a session. They feature a decidable compliance relation, which generalises to the timed setting the progress-based compliance between…

Logic in Computer Science · Computer Science 2023-06-22 Massimo Bartoletti , Tiziana Cimoli , Maurizio Murgia

We present a binary session type system using context-free session types to a version of the applied pi-calculus of Abadi et. al. where only base terms, constants and channels can be sent. Session types resemble process terms from BPA and…

Logic in Computer Science · Computer Science 2018-08-28 Jens Aagaard , Hans Hüttel , Mathias Jakobsen , Mikkel Kettunen

In the setting of the pi-calculus with binary sessions, we aim at relaxing the notion of duality of session types by the concept of retractable compliance developed in contract theory. This leads to extending session types with a new type…

Logic in Computer Science · Computer Science 2017-12-01 Franco Barbanera , Ugo de'Liguoro

In this work, we incorporate reversibility into structured communication-based programming, to allow parties of a session to automatically undo, in a rollback fashion, the effect of previously executed interactions. This permits taking…

Programming Languages · Computer Science 2014-06-16 Francesco Tiezzi , Nobuko Yoshida

Session types, types for structuring communication between endpoints in distributed systems, are recently being integrated into mainstream programming languages. In practice, a very important notion for dealing with such types is that of…

Programming Languages · Computer Science 2023-06-22 Mario Bravetti , Marco Carbone , Julien Lange , Nobuko Yoshida , Gianluigi Zavattaro

Semantic subtyping enables simple, set-theoretical reasoning about types by interpreting a type as the set of its values. Previously, semantic subtyping has been studied primarily in the context of statically typed languages with structural…

Programming Languages · Computer Science 2019-12-19 Julia Belyakova

Many type systems include infinite types. In session type systems, which are the focus of this paper, infinite types are important because they allow the specification of communication protocols that are unbounded in time. Usually infinite…

Programming Languages · Computer Science 2022-01-21 Simon J. Gay , Diogo Poças , Vasco T. Vasconcelos

Session types are a type discipline for describing and specifying communication behaviours of concurrent processes. Session subtyping, firstly introduced by Gay and Hole, is widely used for enlarging typability of session programs. This…

Programming Languages · Computer Science 2024-04-09 Thien Udomsrirungruang , Nobuko Yoshida

We present a calculus that models a form of process interaction based on copyless message passing, in the style of Singularity OS. The calculus is equipped with a type system ensuring that well-typed processes are free from memory faults,…

Programming Languages · Computer Science 2015-07-01 Viviana Bono , Luca Padovani

For many application-level distributed protocols and parallel algorithms, the set of participants, the number of messages or the interaction structure are only known at run-time. This paper proposes a dependent type theory for multiparty…

Logic in Computer Science · Computer Science 2015-07-01 Pierre-Malo Denielou , Nobuko Yoshida , Andi Bejleri , Raymond Hu

A system of session types is introduced as induced by a Curry Howard correspondence applied to Bounded Linear Logic, and then extending the thus obtained type system with probabilistic choices and ground types. The obtained system satisfies…

Logic in Computer Science · Computer Science 2022-07-08 Ugo Dal Lago , Giulia Giusti

We propose the integration of staged metaprogramming into a session-typed message passing functional language. We build on a model of contextual modal type theory with multi-level contexts, where contextual values, closing arbitrary terms…

Programming Languages · Computer Science 2026-01-22 Pedro Ângelo , Atsushi Igarashi , Yuito Murase , Vasco T. Vasconcelos

Subtyping in concurrency has been extensively studied since early 1990s as one of the most interesting issues in type theory. The correctness of subtyping relations has been usually provided as the soundness for type safety. The converse…

Logic in Computer Science · Computer Science 2019-03-14 Tzu-chun Chen , Mariangiola Dezani-Ciancaglini , Alceste Scalas , Nobuko Yoshida

Subtyping is a crucial ingredient of session type theory and its applications, notably to programming language implementations. In this paper, we study effective ways to check whether a session type is a subtype of another by applying a…

Logic in Computer Science · Computer Science 2015-10-26 Julien Lange , Nobuko Yoshida

Session types have been proposed as a means of statically verifying implementations of communication protocols. Although prior work has been successful in verifying some classes of protocols, it does not cope well with parameterized,…

Programming Languages · Computer Science 2012-08-24 Minas Charalambides , Peter Dinges , Gul Agha

Session types are a typed approach to message-passing concurrency, where types describe sequences of intended exchanges over channels. Session type systems have been given strong logical foundations via Curry-Howard correspondences with…

Logic in Computer Science · Computer Science 2024-08-23 Bas van den Heuvel , Jorge A. Pérez