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We introduce an infinitary first order linear logic with least and greatest fixed points. To ensure cut elimination, we impose a validity condition on infinite derivations. Our calculus is designed to reason about rich signatures of…

Logic in Computer Science · Computer Science 2021-03-09 Farzaneh Derakhshan , Frank Pfenning

Session types employ a linear type system that ensures that communication channels cannot be implicitly copied or discarded. As a result, many mechanizations of these systems require modeling channel contexts and carefully ensuring that…

Programming Languages · Computer Science 2023-09-25 Chuta Sano , Ryan Kavanagh , Brigitte Pientka

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

A type system combining type application, constants as types, union types (associative, commutative and idempotent) and recursive types has recently been proposed for statically typing path polymorphism, the ability to define functions that…

Logic in Computer Science · Computer Science 2020-06-30 Juan Edi , Andrés Viso , Eduardo Bonelli

Session types are a typed approach to message-passing concurrency, where types describe sequences of intended exchanges over channels. Session type systems have been given strong logical foundations via Curry-Howard correspondences with…

Logic in Computer Science · Computer Science 2024-08-23 Bas van den Heuvel , Jorge A. Pérez

We present an extension of System F with call-by-name exceptions. The type system is enriched with two syntactic constructs: a union type for programs whose execution may raise an exception at top level, and a corruption type for programs…

Programming Languages · Computer Science 2015-07-01 Sylvain Lebresne

Fair termination is the property of programs that may diverge "in principle" but that terminate "in practice", i.e. under suitable fairness assumptions concerning the resolution of non-deterministic choices. We study a conservative…

Logic in Computer Science · Computer Science 2022-07-11 Luca Ciccone , Luca Padovani

This paper introduces a new theory of multiparty session types based on symmetric sum types, by which we can type non-deterministic orchestration choice behaviours. While the original branching type in session types can represent a choice…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-12-01 Lasse Nielsen , Nobuko Yoshida , Kohei Honda

We previously developed a polymorphic type system and a type checker for a multithreaded lock-based polymorphic typed assembly language (MIL) that ensures that well-typed programs do not encounter race conditions. This paper extends such…

Programming Languages · Computer Science 2010-02-05 Vasco T. Vasconcelos , Francisco Martins , Tiago Cogumbreiro

The Stochastic Calculus of Looping Sequences is suitable to describe the evolution of microbiological systems, taking into account the speed of the described activities. We propose a type system for this calculus that models how the…

Formal Languages and Automata Theory · Computer Science 2009-11-30 Mariangiola Dezani-Ciancaglini , Paola Giannini , Angelo Troina

In recent work, we have developed a session types discipline for a calculus that features the usual constructs for session establishment and communication, but also two novel constructs that enable communicating processes to be stopped,…

Programming Languages · Computer Science 2013-12-11 Cinzia Di Giusto , Jorge A. Pérez

We describe a type system for a platform called the General Intensional Programming System (GIPSY), designed to support intensional programming languages built upon intensional logic and their imperative counter-parts for the intensional…

Logic in Computer Science · Computer Science 2009-12-21 Serguei A. Mokhov , Joey Paquet

Context-free session types describe structured patterns of communication on heterogeneously-typed channels, allowing the specification of protocols unconstrained by tail recursion. The enhanced expressive power provided by non-regular…

Programming Languages · Computer Science 2023-09-21 Gil Silva , Andreia Mordido , Vasco T. Vasconcelos

Typestate systems are notoriously complex as they require sophisticated machinery for tracking aliasing. We propose a new, transition-oriented foundation for typestate in the setting of impure functional programming. Our approach relies on…

Programming Languages · Computer Science 2024-09-27 Hannes Saffrich , Yuki Nishida , Peter Thiemann

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

CLASS is a proof-of-concept general purpose linear programming language, flexibly supporting realistic concurrent programming idioms, and featuring an expressive linear type system ensuring that programs (1) never misuse or leak stateful…

Programming Languages · Computer Science 2025-05-28 Luís Caires

Emerging network scenarios require the development of solid large-scale situated systems. Unfortunately, the diffusion/aggregation computational processes therein often introduce a source of complexity that hampers predictability of the…

Logic in Computer Science · Computer Science 2017-01-11 Ferruccio Damiani , Mirko Viroli

Static resource management in languages remains challenging due to tensions among control, expressiveness, and flexibility. Region-based systems [Grossman et al . 2002; Tofte et al. 2001] offer bulk deallocation via lexically scoped…

Programming Languages · Computer Science 2026-03-31 Siyuan He , Songlin Jia , Yuyan Bao , Tiark Rompf

We define a type system with intersection types for an extension of lambda-calculus with unbind and rebind operators. In this calculus, a term with free variables, representing open code, can be packed into an "unbound" term, and passed…

Logic in Computer Science · Computer Science 2011-01-25 Mariangiola Dezani-Ciancaglini , Paola Giannini , Elena Zucca

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