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We study the notion of subtyping for session types in a logical setting, where session types are propositions of multiplicative/additive linear logic extended with least and greatest fixed points. The resulting subtyping relation admits a…

Logic in Computer Science · Computer Science 2023-04-14 Ross Horne , Luca Padovani

All formalizations of session types rely on linear types for soundness as session-typed communication channels must change their type at every operation. Embedded language implementations of session types follow suit. They either rely on…

Programming Languages · Computer Science 2023-03-03 Peter Thiemann

We present a type checking algorithm for establishing a session-based discipline in the pi calculus of Milner, Parrow and Walker. Our session types are qualified as linear or unrestricted. Linearly typed communication channels are…

Programming Languages · Computer Science 2011-08-12 Marco Giunti

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

Session types model structured communication-based programming. In particular, binary session types for the pi-calculus describe communication between exactly two participants in a distributed scenario. Adding sessions to the pi-calculus…

Programming Languages · Computer Science 2014-08-27 Ornela Dardha

Session types offer a type-based discipline for enforcing communication protocols in distributed programming. We have previously formalized simple session types in the setting of multi-threaded $\lambda$-calculus with linear types. In this…

Programming Languages · Computer Science 2017-04-25 Hanwen Wu , Hongwei Xi

Communicating state machines provide a formal foundation for distributed computation. Unfortunately, they are Turing-complete and, thus, challenging to analyse. In this paper, we classify restrictions on channels which have been proposed to…

Formal Languages and Automata Theory · Computer Science 2022-08-12 Felix Stutz , Damien Zufferey

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

Communicating state machines provide a formal foundation for distributed computation. Unfortunately, they are Turing-complete and, thus, challenging to analyse. In this paper, we classify restrictions on channels which have been proposed to…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Felix Stutz , Damien Zufferey

Distributed systems have become increasingly prevalent in the software industry. Due to their intrinsic complexity, much research has focused on the verification of their behaviour. An active research line is around behaviour models that…

Programming Languages · Computer Science 2026-04-09 Francisco Parrinha , João Mota , António Ravara

Session types capture precise protocol structure in concurrent programming, but do not specify properties of the exchanged values beyond their basic type. Refinement types are a form of dependent types that can address this limitation,…

Logic in Computer Science · Computer Science 2012-11-20 Pedro Baltazar , Dimitris Mostrous , Vasco T. Vasconcelos

Session types guarantee that message-passing processes adhere to predefined communication protocols. Prior work on session types has focused on deterministic languages but many message-passing systems, such as Markov chains and randomized…

Programming Languages · Computer Science 2020-11-19 Ankush Das , Di Wang , Jan Hoffmann

The fast growth of service-oriented programming (SOP) is evident in this day and age of the Internet, and handling communication is of paramount importance in SOP. Session types are a formalism that is proposed to specify interactions…

Programming Languages · Computer Science 2018-10-30 Hanwen Wu , Hongwei Xi

Multiparty session types (MPST) are a robust typing framework that ensures safe and deadlock-free communication within distributed protocols. As these protocols grow in complexity, compositional modelling becomes increasingly important to…

Logic in Computer Science · Computer Science 2025-09-23 Paula Blechschmidt

The notion of subtyping has gained an important role both in theoretical and applicative domains: in lambda and concurrent calculi as well as in programming languages. The soundness and the completeness, together referred to as the…

Logic in Computer Science · Computer Science 2016-02-12 Mariangiola Dezani-Ciancaglini , Silvia Ghilezan , Svetlana Jakšić , Jovanka Pantović , Nobuko Yoshida

Multiparty Session Types (MPSTs) offer a structured way of specifying communication protocols and guarantee relevant communication properties, such as deadlock-freedom. In this paper, we extend a minimal MPST system with quantum data and…

Programming Languages · Computer Science 2024-09-18 Ivan Lanese , Ugo Dal Lago , Vikraman Choudhury

Asynchronous multiparty session types are a type-based framework which ensure the compatibility of components in a distributed system by checking compliance against a specified global protocol. We propose a top-down approach, starting with…

Programming Languages · Computer Science 2026-04-16 Kai Pischke , Jake Masters , Nobuko Yoshida

Session types have emerged as a powerful paradigm for structuring communication-based programs. They guarantee type soundness and session fidelity for concurrent programs with sophisticated communication protocols. As type soundness proofs…

Programming Languages · Computer Science 2019-08-09 Peter Thiemann

Population protocols are a model of distributed computation intended for the study of networks of independent computing agents with dynamic communication structure. Each agent has a finite number of states, and communication opportunities…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-02 Michael Raskin

Session types are a discipline for the static verification of message-passing programs. A session type specifies a channel's protocol as sequences of exchanges. It is most relevant to investigate session-based concurrency by identifying the…

Programming Languages · Computer Science 2024-01-24 Alen Arslanagic , Jorge A. Pérez , Anda-Amelia Palamariuc