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In this paper we introduce imprecise probability for session types. More exactly, we use a probabilistic process calculus in which both nondeterministic external choice and probabilistic internal choice are considered. We propose the…

Logic in Computer Science · Computer Science 2020-02-20 Bogdan Aman , Gabriel Ciobanu

Sessions are a fundamental notion in message-passing systems. A session is an abstract notion of communication between parties where each one owns an endpoint. Session types are types that are assigned to the endpoints and that are used to…

Logic in Computer Science · Computer Science 2023-07-13 Luca Ciccone

Duality is a central concept in the theory of session types. Since a flaw was found in the original definition of duality for recursive types, several other definitions have been published. As their connection is not obvious, we compare the…

Programming Languages · Computer Science 2020-04-06 Simon J. Gay , Peter Thiemann , Vasco T. Vasconcelos

Session types are a rich type discipline, based on linear types, that lifts the sort of safety claims that come with type systems to communications. However, web-based applications and microservices are often written in a mix of languages,…

Programming Languages · Computer Science 2019-11-20 Atsushi Igarashi , Peter Thiemann , Yuya Tsuda , Vasco T. Vasconcelos , Philip Wadler

Session types are abstractions of communication protocols enabling the static analysis of message-passing processes. Refinement notions for session types are key to support safe forms of process substitution while preserving their…

Programming Languages · Computer Science 2025-06-09 Mario Bravetti , Luca Padovani , Gianluigi Zavattaro

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

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 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

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 tackle the problem of statically ensuring that message-passing programs never run into deadlocks. We focus on concurrent functional programs governed by context-free session types, which can express rich tree-like structures not…

Programming Languages · Computer Science 2026-02-24 Andreia Mordido , Jorge A. Pérez

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

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

Intersection types have been originally developed as an extension of simple types, but they can also be used for refining simple types. In this survey we concentrate on the latter option; more precisely, on the use of intersection types for…

Logic in Computer Science · Computer Science 2019-04-24 Paweł Parys

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

Multiparty Session Types (MPST) are a well-established typing discipline for message-passing processes interacting on sessions involving two or more participants. Session typing can ensure desirable properties: absence of communication…

Programming Languages · Computer Science 2017-04-12 Alceste Scalas , Nobuko Yoshida

The classes of depth-bounded and name-bounded processes are fragments of the pi-calculus for which some of the decision problems that are undecidable for the full calculus become decidable. P is depth-bounded at level k if every reduction…

Logic in Computer Science · Computer Science 2017-09-05 Hans Hüttel

We study increasingly expressive type systems, from $F^\mu$ -- an extension of the polymorphic lambda calculus with equirecursive types -- to $F^{\mu;}_\omega$ -- the higher-order polymorphic lambda calculus with equirecursive types and…

Logic in Computer Science · Computer Science 2023-01-23 Diana Costa , Andreia Mordido , Diogo Poças , Vasco T. Vasconcelos

We define a novel calculus that combines a call-by-name functional core with session-based communication primitives. We develop a typing discipline that guarantees both normalisation of expressions and progress of processes and that…

Logic in Computer Science · Computer Science 2023-06-22 Paula Severi , Luca Padovani , Emilio Tuosto , Mariangiola Dezani-Ciancaglini

Separation systems are posets with additional structure that form an abstract setting in which tangle-like clusters in graphs, matroids and other combinatorial structures can be expressed and studied. This paper offers some basic theory…

Combinatorics · Mathematics 2025-05-16 Reinhard Diestel , Jay Lilian Kneip

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 2024-05-16 Thien Udomsrirungruang , Nobuko Yoshida