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We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

On one hand, termination analysis of logic programs is now a fairly established research topic within the logic programming community. On the other hand, non-termination analysis seems to remain a much less attractive subject. If we divide…

Programming Languages · Computer Science 2007-05-23 Etienne Payet , Fred Mesnard

Assigning a satisfactory truly concurrent semantics to Petri nets with confusion and distributed decisions is a long standing problem, especially if one wants to resolve decisions by drawing from some probability distribution. Here we…

Logic in Computer Science · Computer Science 2023-06-22 Roberto Bruni , Hernán Melgratti , Ugo Montanari

This work is divided between two main areas: in the theory of multialgebras, we focus mostly on a new definition of what a freely generated object should be in their category, and on how this category is equivalent to another with partially…

Logic · Mathematics 2022-06-23 Guilherme Vicentin de Toledo

Linear implication can represent state transitions, but real transition systems operate under temporal, stochastic or probabilistic constraints that are not directly representable in ordinary linear logic. We propose a general modal…

Logic in Computer Science · Computer Science 2016-03-09 Joelle Despeyroux , Kaustuv Chaudhuri

Computation can be considered by taking into account two dimensions: extensional versus intensional, and sequential versus concurrent. Traditionally sequential extensional computation can be captured by the lambda-calculus. However, recent…

Logic in Computer Science · Computer Science 2014-06-24 Thomas Given-Wilson

We view channels as the main form of resources in a message-passing programming paradigm. These channels need to be carefully managed in settings where resources are scarce. To study this problem, we extend the pi-calculus with primitives…

Logic in Computer Science · Computer Science 2010-04-08 Edsko de Vries , Adrian Francalanza , Matthew Hennessy

In this paper, we consider classes of decision tables with many-valued decisions closed under operations of removal of columns, changing of decisions, permutation of columns, and duplication of columns. We study relationships among three…

Computational Complexity · Computer Science 2023-04-24 Azimkhon Ostonov , Mikhail Moshkov

Certain operator-valued functions and new generating structures (instead of generating functionals) are proposed for the analysis of equations for n-point information (n-pi). Some remarks are made concerning the intertwining of linearity…

General Physics · Physics 2013-04-15 Jerzy Hanckowiak

Intersection types are a standard tool in operational and semantical studies of the lambda calculus. De Carvalho showed how multi types, a quantitative variant of intersection types providing a handy presentation of the relational…

Logic in Computer Science · Computer Science 2023-12-05 Beniamino Accattoli

The $\pi$-calculus is used as a model for programming languages. Its contexts exhibit arbitrary concurrency, making them very discriminating. This may prevent validating desirable behavioural equivalences in cases when more disciplined…

Logic in Computer Science · Computer Science 2021-12-14 Daniel Hirschkoff , Enguerrand Prebet , Davide Sangiorgi

The categorical models of the differential lambda-calculus are additive categories because of the Leibniz rule which requires the summation of two expressions. This means that, as far as the differential lambda-calculus and differential…

Logic in Computer Science · Computer Science 2024-02-14 Thomas Ehrhard

In this paper, we consider sequential dynamic team decision problems with nonclassical information structures. First, we address the problem from the point of view of a ``manager" who seeks to derive the optimal strategy of the team in a…

Optimization and Control · Mathematics 2024-07-23 Andreas A. Malikopoulos

In the formal modelling of systems, demonic and angelic nondeterminism play fundamental roles as abstraction mechanisms. The angelic nature of a choice pertains to the property of avoiding failure whenever possible. As a concept, angelic…

Logic in Computer Science · Computer Science 2015-05-29 Pedro Ribeiro

We consider the termination/non-termination property of a class of loops. Such loops are commonly used abstractions of real program pieces. Second-order logic is a convenient language to express non-termination. Of course, such property is…

Logic in Computer Science · Computer Science 2014-12-11 Fred Mesnard , Etienne Payet

The theory of noninterference supports the analysis of secure computations in multi-level security systems. Classical equivalence-based approaches to noninterference mainly rely on bisimilarity. In a nondeterministic setting, assessing…

Cryptography and Security · Computer Science 2026-05-05 Andrea Esposito , Alessandro Aldini , Marco Bernardo

The article bridges between two major paradigms in computation, the functional, at basis computation from input to output, and the interactive, where computation reacts to its environment while underway. Central to any compositional theory…

Programming Languages · Computer Science 2023-04-11 Glynn Winskel

We define two extensions of the typed linear lambda-calculus that yield minimal Turing-complete systems. The extensions are based on unbounded recursion in one case, and bounded recursion with minimisation in the other. We show that both…

Logic in Computer Science · Computer Science 2016-11-28 Sandra Alves , Maribel Fernández , Mário Florido , Ian Mackie

As modern architectures introduce additional heterogeneity and parallelism, we look for ways to deal with this that do not involve specialising software to every platform. In this paper, we take the Join Calculus, an elegant model for…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-27 Peter Calvert , Alan Mycroft

In this work, we incorporate reversibility into structured communication-based programming, to allow parties of a session to automatically undo, in a rollback fashion, the effect of previously executed interactions. This permits taking…

Programming Languages · Computer Science 2014-06-16 Francesco Tiezzi , Nobuko Yoshida
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