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We introduce coexponentials, a new set of modalities for Classical Linear Logic. As duals to exponentials, the coexponentials codify a distributed form of the structural rules of weakening and contraction. This makes them a suitable logical…

Logic in Computer Science · Computer Science 2021-03-05 Zesen Qian , G. A. Kavvos , Lars Birkedal

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

We study a theory of asynchronous session types ensuring that well-typed processes terminate under a suitable fairness assumption. Fair termination entails starvation freedom and orphan message freedom namely that all messages, including…

Programming Languages · Computer Science 2025-03-17 Luca Padovani , Gianluigi Zavattaro

Termination is a central property in sequential programming models: a term is terminating if all its reduction sequences are finite. Termination is also important in concurrency in general, and for message-passing programs in particular. A…

Logic in Computer Science · Computer Science 2023-08-03 Joseph W. N. Paulus , Jorge A. Pérez , Daniele Nantes-Sobrinho

Linear logic (LL) has inspired the design of many computational systems, offering reasoning techniques built on top of its meta-theory. Since its inception, several connections between concurrent systems and LL have emerged from different…

Logic in Computer Science · Computer Science 2022-04-11 Daniele Nantes , Carlos Olarte , Daniel Ventura

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

There exists a broad family of multiparty sessions in which the progress of one session participant is not unconditional, but depends on the choices performed by other participants. These sessions fall outside the scope of currently…

Programming Languages · Computer Science 2022-05-19 Luca Ciccone , Francesco Dagnino , Luca Padovani

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 show how systems of session types can enforce interactions to be bounded for all typable processes. The type system we propose is based on Lafont's soft linear logic and is strongly inspired by recent works about session types as…

Logic in Computer Science · Computer Science 2011-08-24 Ugo Dal Lago , Paolo Di Giamberardino

Sessions are a fundamental notion in message-passing systems. A session is an abstract notion of communication between parties where each one owns an endpoint. Session types are types that are assigned to the endpoints and that are used to…

Logic in Computer Science · Computer Science 2023-07-13 Luca Ciccone

We show how systems of sessions types can enforce interactions to be bounded for all typable processes. The type system we propose is based on Lafont's soft linear logic and is strongly inspired by recent works about session types as…

Logic in Computer Science · Computer Science 2012-01-04 Ugo Dal Lago , Paolo Di Giamberardino

We propose a type-based analysis to infer the session protocols of channels in an ML-like concurrent functional language. Combining and extending well-known techniques, we develop a type-checking system that separates the underlying ML type…

Programming Languages · Computer Science 2016-04-14 Carlo Spaccasassi , Vasileios Koutavas

We identify multirole logic as a new form of logic and formalize linear multirole logic (LMRL) as a natural generalization of classical linear logic (CLL). Among various meta-properties established for LMRL, we obtain one named multi-cut…

Programming Languages · Computer Science 2016-11-29 Hongwei Xi , Hanwen Wu

Session types provide guarantees about concurrent behaviour and can be understood through their correspondence with linear logic, with propositions as sessions and proofs as processes. However, a strictly linear setting is somewhat…

Programming Languages · Computer Science 2024-10-23 Danielle Marshall , Dominic Orchard

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

Session types capture precise protocol structure in concurrent programming, but do not specify properties of the exchanged values beyond their basic type. Refinement types are a form of dependent types that can address this limitation,…

Logic in Computer Science · Computer Science 2012-11-20 Pedro Baltazar , Dimitris Mostrous , Vasco T. Vasconcelos

This paper introduces the exponential substitution calculus (ESC), a new presentation of cut elimination for IMELL, based on proof terms and building on the idea that exponentials can be seen as explicit substitutions. The idea in itself is…

Logic in Computer Science · Computer Science 2024-02-14 Beniamino Accattoli

Federated Learning (FL) typically assumes unconditional collaboration, a premise that overlooks the complexities of real-world, multi-stakeholder environments in which clients may need to exclude one another for strategic, regulatory, or…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-28 Daan Rosendal , Ana Oprescu

Many properties of communication protocols combine safety and liveness aspects. Characterizing such combined properties by means of a single inference system is difficult because of the fundamentally different techniques (coinduction and…

Logic in Computer Science · Computer Science 2023-06-22 Luca Ciccone , Luca Padovani

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
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