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This paper presents a proof-theoretic analysis of the modal $\mu$-calculus. More precisely, we prove a syntactic cut-elimination for the non-wellfounded modal $\mu$-calculus, using methods from linear logic and its exponential modalities.…

Logic in Computer Science · Computer Science 2025-06-12 Esaïe Bauer , Alexis Saurin

Session types have emerged as a typing discipline for communication protocols. Existing calculi with session types come equipped with many different primitives that combine communication with the introduction or elimination of the…

Programming Languages · Computer Science 2019-11-12 Peter Thiemann , Vasco T. Vasconcelos

A classical queuing theory result states that in a parallel-queue single-server model, the maximum stability region does not depend on the scheduling decision epochs, and in particular is the same for preemptive and non-preemptive systems.…

Probability · Mathematics 2024-03-28 Nahuel Soprano-Loto , Urtzi Ayesta , Matthieu Jonckheere , Ina Maria Verloop

Tabled logic programming is receiving increasing attention in the Logic Programming community. It avoids many of the shortcomings of SLD execution and provides a more flexible and often extremely efficient execution mechanism for logic…

Logic in Computer Science · Computer Science 2007-05-23 Sofie Verbaeten , Danny De Schreye , Konstantinos Sagonas

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

HyLL (Hybrid Linear Logic) and SELL (Subexponential Linear Logic) are logical frameworks that have been extensively used for specifying systems that exhibit modalities such as temporal or spatial ones. Both frameworks have linear logic (LL)…

Logic in Computer Science · Computer Science 2016-09-05 Joëlle Despeyroux , Carlos Olarte , Elaine Pimentel

We examine some combinatorial properties of parallel cut elimination in multiplicative linear logic (MLL) proof nets. We show that, provided we impose a constraint on some paths, we can bound the size of all the nets satisfying this…

Logic in Computer Science · Computer Science 2023-06-22 Jules Chouquet , Lionel Vaux Auclair

We study the problem of parametric parallel complexity analysis of concurrent, message-passing programs. To make the analysis local and compositional, it is based on a conservative extension of binary session types, which structure the type…

Programming Languages · Computer Science 2018-04-18 Ankush Das , Jan Hoffmann , Frank Pfenning

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

We introduce proper display calculi for intuitionistic, bi-intuitionistic and classical linear logics with exponentials, which are sound, complete, conservative, and enjoy cut-elimination and subformula property. Based on the same design,…

Logic · Mathematics 2016-11-15 Giuseppe Greco , Alessandra Palmigiano

In multiple federated learning schemes, a random subset of clients sends in each round their model updates to the server for aggregation. Although this client selection strategy aims to reduce communication overhead, it remains energy and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-13 Fernanda Famá , Charalampos Kalalas , Sandra Lagen , Paolo Dini

Concurrent separation logic (CSL) is a specification logic for concurrent imperative programs with shared memory and locks. In this paper, we develop a concurrent and interactive account of the logic inspired by asynchronous game semantics.…

Programming Languages · Computer Science 2018-07-24 Paul-André Melliès , Léo Stefanesco

Nowadays, numerous services based on large-scale distributed systems have been developed to boost the convenience of human life. On the other side, it becomes a significant challenge to ensure the correctness and properties of these systems…

Logic in Computer Science · Computer Science 2020-07-28 Yepeng Ding , Hiroyuki Sato

We present a novel unity of logic, viz., a single sequent calculus that embodies classical, intuitionistic and linear logics. Concretely, we define classical linear logic negative (CLL$^-$), a new logic that is classical and linear yet…

Logic · Mathematics 2021-01-08 Norihiro Yamada

We develop a denotational semantics of muLL, a version of propositional Linear Logic with least and greatest fixed points extending David Baelde's propositional muMALL with exponentials. Our general categorical setting is based on the…

Logic in Computer Science · Computer Science 2021-05-20 Thomas Ehrhard , Farzad Jafarrahmani

We strive to use session type technology to prove behavioural properties of fault-tolerant distributed algorithms. Session types are designed to abstractly capture the structure of (even multi-party) communication protocols. The goal of…

Logic in Computer Science · Computer Science 2017-05-05 Manuel Adameit , Kirstin Peters , Uwe Nestmann

We present a new approach to termination analysis of logic programs. The essence of the approach is that we make use of general term-orderings (instead of level mappings), like it is done in transformational approaches to logic program…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

In this paper, we present a linear and reversible programming language with inductives types and recursion. The semantics of the languages is based on pattern-matching; we show how ensuring syntactical exhaustivity and non-overlapping of…

Logic in Computer Science · Computer Science 2025-07-23 Kostia Chardonnet , Alexis Saurin , Benoît Valiron

Federated learning, an emerging machine learning paradigm, enables clients to collaboratively train a model without exchanging local data. Clients participating in the training process significantly impact the convergence rate, learning…

Machine Learning · Computer Science 2024-08-30 Fares Fourati , Salma Kharrat , Vaneet Aggarwal , Mohamed-Slim Alouini , Marco Canini

In a conventional Federated Learning framework, client selection for training typically involves the random sampling of a subset of clients in each iteration. However, this random selection often leads to disparate performance among…

Machine Learning · Computer Science 2024-08-29 Andrés Catalino Castillo Jiménez , Ege C. Kaya , Lintao Ye , Abolfazl Hashemi