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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

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

Multiparty sessions with asynchronous communications and global types play an important role for the modelling of interaction protocols in distributed systems. In designing such calculi the aim is to enforce, by typing, good properties for…

Logic in Computer Science · Computer Science 2023-06-22 Francesco Dagnino , Paola Giannini , Mariangiola Dezani-Ciancaglini

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

We provide the first denotational semantics for asynchronous multiparty session types with precise asynchronous subtyping. Our semantics enables us to reason about asynchronous message-passing, in which message-sending is non-blocking. It…

Programming Languages · Computer Science 2026-04-14 Dylan McDermott , 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

Multiparty session types (MSTs) are a type-based approach to verifying communication protocols, represented as global types in the framework. We present a precise subtyping relation for asynchronous MSTs with communicating state machines…

Formal Languages and Automata Theory · Computer Science 2024-01-30 Elaine Li , Felix Stutz , Thomas Wies

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

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

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

Formal verification methods for concurrent systems cannot always be scaled-down or tailored in order to be applied on specific subsystems. We address such an issue in a MultiParty Session Types setting by devising a partial type assignment…

Logic in Computer Science · Computer Science 2024-10-02 Franco Barbanera , Mariangiola Dezani-Ciancaglini , Ugo de'Liguoro

Session types are becoming popular and have been integrated in several mainstream programming languages. Nevertheless, while many programming languages consider asynchronous fifo channel communication, the notion of subtyping used in…

Programming Languages · Computer Science 2021-04-30 Lorenzo Bacchiani , Mario Bravetti , Julien Lange , Gianluigi Zavattaro

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

Programs are more distributed and concurrent today than ever before, and structural communications are at the core. Constructing and debugging such programs are hard due to the lack of formal specification/verification of concurrency. This…

Programming Languages · Computer Science 2018-08-02 Hanwen Wu , Hongwei Xi

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 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

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 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

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 (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
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