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Proof theory provides a foundation for studying and reasoning about programming languages, most directly based on the well-known Curry-Howard isomorphism between intuitionistic logic and the typed lambda-calculus. More recently, a…

Logic in Computer Science · Computer Science 2023-06-22 Farzaneh Derakhshan , Frank Pfenning

A multiparty session formalises a set of concurrent communicating participants. We propose a type system for multiparty sessions where some communications between participants can be ignored. This allows us to type some sessions with global…

Logic in Computer Science · Computer Science 2023-08-22 Franco Barbanera , Mariangiola Dezani-Ciancaglini

Type soundness is an important property of modern programming languages. In this paper we explore the idea that "well-typed languages are sound": the idea that the appropriate typing discipline over language specifications guarantees that…

Programming Languages · Computer Science 2016-11-17 Matteo Cimini , Dale Miller , Jeremy G. Siek

Session types denote message protocols between concurrent processes, allowing a type-safe expression of inter-process communication. Although previous work demonstrate a well-defined notion of subtyping where processes have different…

Programming Languages · Computer Science 2021-11-29 Chuta Sano , Stephanie Balzer , Frank Pfenning

A linear parameter must be consumed exactly once in the body of its function. When declaring resources such as file handles and manually managed memory as linear arguments, a linear type system can verify that these resources are used…

Programming Languages · Computer Science 2022-07-25 Arnaud Spiwack , Csongor Kiss , Jean-Philippe Bernardy , Nicolas Wu , Richard Eisenberg

We present TLLC which extends the Two-Level Linear dependent type theory (TLL) with session-based concurrency. Equipped with Martin-L\"{o}f style dependency, the session types of TLLC allow protocols to specify properties of communicated…

Programming Languages · Computer Science 2025-10-27 Qiancheng Fu , Hongwei Xi , Ankush Das

Gradual typing is an approach to integrating static and dynamic typing within the same language, and puts the programmer in control of which regions of code are type checked at compile-time and which are type checked at run-time. In this…

Programming Languages · Computer Science 2019-09-16 Matteo Cimini

Session types are types for specifying protocols that processes must follow when communicating with each other. Session types are in a propositions-as-types correspondence with linear logic. Previous work has shown that a multiparty session…

Programming Languages · Computer Science 2021-02-10 Marco Carbone , Sonia Marin , Carsten Schürmann

This work proposes a dependent type theory that combines functions and session-typed processes (with value dependencies) through a contextual monad, internalising typed processes in a dependently-typed lambda-calculus. The proposed…

Programming Languages · Computer Science 2018-01-25 Bernardo Toninho , Nobuko Yoshida

We present a tool-based approach for the runtime analysis of communicating processes grounded on probabilistic binary session types. We synthesise a monitor out of a probabilistic session type where each choice point is decorated by a…

Programming Languages · Computer Science 2021-07-20 Christian Bartolo Burlò , Adrian Francalanza , Alceste Scalas , Catia Trubiani , Emilio Tuosto

We present an asynchronous calculus for multiparty sessions with mixed choice, which extends the Simple MultiParty Session framework in order to support nondeterministic choices with both input and output prefixes. Global types -- equipped…

Logic in Computer Science · Computer Science 2026-04-09 Franco Barbanera , Mariangiola Dezani-Ciancaglini

We propose a type-based resource usage analysis for the π-calculus extended with resource creation/access primitives. The goal of the resource usage analysis is to statically check that a program accesses resources such as files and…

Programming Languages · Computer Science 2017-01-11 Naoki Kobayashi , Kohei Suenaga , Lucian Wischik

In recent work, we have developed a session types discipline for a calculus that features the usual constructs for session establishment and communication, but also two novel constructs that enable communicating processes to be stopped,…

Programming Languages · Computer Science 2013-12-11 Cinzia Di Giusto , Jorge A. Pérez

Session type systems have been given logical foundations via Curry-Howard correspondences based on both intuitionistic and classical linear logic. The type systems derived from the two logics enforce communication correctness on the same…

Logic in Computer Science · Computer Science 2020-04-06 Bas van den Heuvel , Jorge A. Pérez

There is often a sort of a protocol associated to each class, stating when and how certain methods should be called. Given that this protocol is, if at all, described in the documentation accompanying the class, current mainstream…

Programming Languages · Computer Science 2011-10-20 Joana Campos , Vasco T. Vasconcelos

We study the problem of parametric parallel complexity analysis of concurrent, message-passing programs. To make the analysis local and compositional, it is based on a conservative extension of binary session types, which structure the type…

Programming Languages · Computer Science 2018-04-18 Ankush Das , Jan Hoffmann , Frank Pfenning

Session types express and enforce safe communication in concurrent message-passing systems by statically capturing the interaction protocols between processes in the type. Recent works extend session types with arithmetic refinements, which…

Programming Languages · Computer Science 2026-02-09 Toby Ueno , Ankush Das

To celebrate the 30th edition of EXPRESS and the 20th edition of SOS we overview how session types can be expressed in a type theory for the standard $\pi$-calculus by means of a suitable encoding. The encoding allows one to reuse results…

Programming Languages · Computer Science 2023-09-15 Ilaria Castellani , Ornela Dardha , Luca Padovani , Davide Sangiorgi

We propose algebraic protocols that enable the definition of protocol templates and session types analogous to the definition of domain-specific types with algebraic datatypes. Parameterized algebraic protocols subsume all regular as well…

Programming Languages · Computer Science 2023-04-10 Andreia Mordido , Janek Spaderna , Peter Thiemann , Vasco T. Vasconcelos

Imperative session types provide an imperative interface to session-typed communication. In such an interface, channel references are first-class objects with operations that change the typestate of the channel. Compared to functional…

Programming Languages · Computer Science 2023-06-22 Hannes Saffrich , Peter Thiemann