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This paper presents the first implementation of session types in a dynamically-typed language - Python. Communication safety of the whole system is guaranteed at runtime by monitors that check the execution traces comply with an associated…

Programming Languages · Computer Science 2013-12-11 Rumyana Neykova

Session types are widely used as abstractions of asynchronous message passing systems. Refinement for such abstractions is crucial as it allows improvements of a given component without compromising its compatibility with the rest of the…

Programming Languages · Computer Science 2024-10-09 Mario Bravetti , Julien Lange , Gianluigi Zavattaro

We generalise Levy's call-by-push-value (CBPV) to dependent type theory, to gain a better understanding of how to combine dependent types with effects. We define a dependently typed extension of CBPV, dCBPV-, and show that it has a very…

Logic in Computer Science · Computer Science 2016-03-15 Matthijs Vákár

Session types are a typing discipline used to formally describe communication-driven applications with the aim of fewer errors and easier debugging later into the life cycle of the software. Protocols at the transport layer such as TCP,…

Programming Languages · Computer Science 2024-04-09 Samuel Cavoj , Ivan Nikitin , Colin Perkins , Ornela Dardha

Much research has studied foundations for correct and reliable communication-centric systems. A salient approach to correctness uses session types to enforce structured communications; a recent approach to reliability uses reversible…

Logic in Computer Science · Computer Science 2016-06-21 Claudio A. Mezzina , Jorge A. Pérez

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

Inspired by Kobayashi's type system for lock freedom, we define a behavioral type system for ensuring progress in a language of binary sessions. The key idea is to annotate actions in session types with priorities representing the urgency…

Programming Languages · Computer Science 2013-12-11 Luca Padovani

Dependently typed programming languages have become increasingly relevant in recent years. They have been adopted in industrial strength programming languages and have been extremely successful as the basis for theorem provers. There are…

Programming Languages · Computer Science 2024-04-09 Christophe Scholliers

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

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

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

Semantic data fuels many different applications, but is still lacking proper integration into programming languages. Untyped access is error-prone while mapping approaches cannot fully capture the conceptualization of semantic data. In this…

Programming Languages · Computer Science 2016-10-25 Martin Leinberger , Ralf Lämmel , Steffen Staab

We develop algebraic models of simple type theories, laying out a framework that extends universal algebra to incorporate both algebraic sorting and variable binding. Examples of simple type theories include the unityped and simply-typed…

Logic in Computer Science · Computer Science 2020-07-01 Nathanael Arkor , Marcelo Fiore

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

Prompt programming treats large language model prompts as software components with typed interfaces. Based on a literature survey of 15 recent works from 2023 to 2025, we observe a consistent trend: type systems are central to emerging…

Programming Languages · Computer Science 2025-08-19 Abhijit Paul

We present an inference system for a version of the Pi-calculus in Haskell for the session type proposed by Honda et al. The session type is very useful in checking if the communications are well-behaved. The full session type…

Programming Languages · Computer Science 2011-10-20 Keigo Imai , Shoji Yuen , Kiyoshi Agusa

Session type systems have been given logical foundations via Curry-Howard correspondences based on both intuitionistic and classical linear logic. The type systems derived from the two logics enforce communication correctness on the same…

Logic in Computer Science · Computer Science 2020-04-06 Bas van den Heuvel , Jorge A. Pérez

We study a probabilistic variant of binary session types that relate to a class of Finite-State Markov Chains. The probability annotations in session types enable the reasoning on the probability that a session terminates successfully, for…

Logic in Computer Science · Computer Science 2020-07-24 Omar Inverso , Hernán Melgratti , Luca Padovani , Catia Trubiani , Emilio Tuosto

We define the syntax and reduction relation of a recursively typed lambda calculus with a parallel case-function (a parallel conditional). The reduction is shown to be confluent. We interpret the recursive types as information systems in a…

Logic in Computer Science · Computer Science 2008-06-12 Fritz Müller

Type-preserving translations are effective rigorous tools in the study of core programming calculi. In this paper, we develop a new typed translation that connects sequential and concurrent calculi; it is governed by type systems that…

Programming Languages · Computer Science 2022-06-01 Joseph W. N. Paulus , Daniele Nantes-Sobrinho , Jorge A. Pérez
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