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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

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

This paper improves the session typing theory to support the modelling and verification of processes that implement federated learning protocols. To this end, we build upon the asynchronous ``bottom-up'' session typing approach by adding…

Logic in Computer Science · Computer Science 2026-03-27 Ivan Prokić , Simona Prokić , Silvia Ghilezan , Alceste Scalas , Nobuko Yoshida

JSON is a popular data format used pervasively in web APIs, cloud computing, NoSQL databases, and increasingly also machine learning. JSON Schema is a language for declaring the structure of valid JSON data. There are validators that can…

Programming Languages · Computer Science 2020-05-19 Andrew Habib , Avraham Shinnar , Martin Hirzel , Michael Pradel

Characteristic formulae give a complete logical description of the behaviour of processes modulo some chosen notion of behavioural semantics. They allow one to reduce equivalence or preorder checking to model checking, and are exactly the…

Logic in Computer Science · Computer Science 2026-03-27 Luca Aceto , Antonis Achilleos , Aggeliki Chalki , Anna Ingolfsdottir

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

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

We propose a semantically grounded theory of session types which relies on intersection and union types. We argue that intersection and union types are natural candidates for modeling branching points in session types and we show that the…

Programming Languages · Computer Science 2011-01-25 Luca Padovani

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

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

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

Multiparty session types provide a type discipline for ensuring communication safety, deadlock-freedom and liveness for multiple concurrently running participants. The original formulation of MPST takes the top-down approach, where a global…

Programming Languages · Computer Science 2024-11-13 Thien Udomsrirungruang , Nobuko Yoshida

The higher-dimensional modal mu-calculus is an extension of the mu-calculus in which formulas are interpreted in tuples of states of a labeled transition system. Every property that can be expressed in this logic can be checked in…

Logic in Computer Science · Computer Science 2012-02-17 Martin Lange , Etienne Lozes

Testing has become an indispensable activity of software development, yet writing good and relevant tests remains a quite challenging task. One well-known problem is that it often is impossible or unrealistic to test for every outcome, as…

Programming Languages · Computer Science 2017-08-18 Dimitri Racordon , Didier Buchs

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 strive to use session type technology to prove behavioural properties of fault-tolerant distributed algorithms. Session types are designed to abstractly capture the structure of (even multi-party) communication protocols. The goal of…

Logic in Computer Science · Computer Science 2017-05-05 Manuel Adameit , Kirstin Peters , Uwe Nestmann

Relating the specification of the global communication behavior of a distributed system and the specifications of the local communication behavior of each of its nodes/peers (e.g., to check if the former is realizable by the latter under…

Logic in Computer Science · Computer Science 2014-07-17 Luís Caires , Jorge A. Pérez

This paper presents the first formalisation of the precise subtyping relation for asynchronous multiparty sessions. We show that our subtyping relation is sound (i.e., guarantees safe process replacement) and also complete: any extension of…

Logic in Computer Science · Computer Science 2020-10-28 Silvia Ghilezan , Jovanka Pantović , Ivan Prokić , Alceste Scalas , Nobuko Yoshida

Session types statically prescribe bidirectional communication protocols for message-passing processes and are in a Curry-Howard correspondence with linear logic propositions. However, simple session types cannot specify properties beyond…

Programming Languages · Computer Science 2020-01-27 Ankush Das , Frank Pfenning

Session types are used to describe communication protocols in distributed systems and, as usual in type theories, session subtyping characterizes substitutability of the communicating processes. We investigate the (un)decidability of…

Programming Languages · Computer Science 2017-07-20 Mario Bravetti , Marco Carbone , Gianluigi Zavattaro