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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

Designing and analysing multiparty distributed interactions can be achieved either by means of a global view (e.g. in choreography-based approaches) or by composing available computational entities (e.g. in service orchestration). This…

Programming Languages · Computer Science 2012-04-13 Julien Lange , Emilio Tuosto

Prior work has extended the deep, logical connection between the linear sequent calculus and session-typed message-passing concurrent computation with equi-recursive types and a natural notion of subtyping. In this paper, we extend this…

Programming Languages · Computer Science 2017-02-09 Coşku Acay , Frank Pfenning

We propose a calculus for asynchronous multiparty sessions where input choices with different senders are allowed in processes. We present a type system that accepts such input races provided they do not hinder lock-freedom.

Logic in Computer Science · Computer Science 2022-03-25 Ilaria Castellani , Mariangiola Dezani-Ciancaglini , Paola Giannini

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

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

We interpret Linear Logic Proof Nets in a term language based on Solos calculus. The system includes a synchronisation mechanism, obtained by a conservative extension of the logic, that enables to define non-deterministic behaviours and…

Logic in Computer Science · Computer Science 2014-06-16 Dimitris Mostrous

We consider the problem of designing typed concurrent calculi with non-deterministic choice in which types leverage linearity for controlling resources, thereby ensuring strong correctness properties for processes. This problem is…

Logic in Computer Science · Computer Science 2024-12-18 Bas van den Heuvel , Daniele Nantes-Sobrinho , Joseph W. N. Paulus , Jorge A. Pérez

The BioAmbients calculus is a process algebra suitable for representing compartmentalization, molecular localization and movements between compartments. In this paper we enrich this calculus with a static type system classifying each…

Computational Engineering, Finance, and Science · Computer Science 2010-02-23 Sara Capecchi , Angelo Troina

Multiparty session types are a type system that can ensure the safety and liveness of distributed peers via the global specification of their interactions. To construct a global specification from a set of distributed uncontrolled…

Formal Languages and Automata Theory · Computer Science 2013-04-09 Pierre-Malo Deniélou , Nobuko Yoshida

These lecture notes cover basic automata-theoretic concepts and logical formalisms for the modeling and verification of concurrent and distributed systems. Many of these concepts naturally extend the classical automata and logics over…

Logic in Computer Science · Computer Science 2021-10-19 Benedikt Bollig , Paul Gastin

We propose a type system for a calculus of contracting processes. Processes can establish sessions by stipulating contracts, and then can interact either by keeping the promises made, or not. Type safety guarantees that a typeable process…

Programming Languages · Computer Science 2019-03-14 Massimo Bartoletti , Alceste Scalas , Emilio Tuosto , Roberto Zunino

Replication is an alternative construct to recursion for describing infinite behaviours in the pi-calculus. In this paper we explore the implications of including type-level replication in Multiparty Session Types (MPST), a behavioural type…

Programming Languages · Computer Science 2025-01-27 Matthew Alan Le Brun , Simon Fowler , Ornela Dardha

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

We (re)define session types as projections of process behaviors with respect to the communication channels they use. In this setting, we give session types a semantics based on fair testing. The outcome is a unified theory of behavioral…

Programming Languages · Computer Science 2009-12-01 Luca Padovani

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

A classical approach to formal policy synthesis in stochastic dynamical systems is to construct a finite-state abstraction, often represented as a Markov decision process (MDP). The correctness of these approaches hinges on a behavioural…

Systems and Control · Electrical Eng. & Systems 2025-08-08 Thom Badings , Alessandro Abate

We build on a previous statistical model for distributed systems and formulate it in a way that the deterministic and stochastic processes within the system are clearly separable. We show how internal fluctuations can be analysed in a…

adap-org · Physics 2009-10-22 Iqbal Adjali , José-Luis Fernández-Villacañas , Michael Gell

We introduce the mathematical theory of the particle systems that interact via permutations, where the transition rates are assigned not to the jumps from a site to a site, but to the permutations themselves. This permutation processes can…

Probability · Mathematics 2007-05-23 Yevgeniy Kovchegov

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