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We investigate non-wellfounded proof systems based on parsimonious logic, a weaker variant of linear logic where the exponential modality ! is interpreted as a constructor for streams over finite data. Logical consistency is maintained at a…

Logic in Computer Science · Computer Science 2025-09-03 Matteo Acclavio , Gianluca Curzi , Giulio Guerrieri

Session types are types for specifying protocols that processes must follow when communicating with each other. Session types are in a propositions-as-types correspondence with linear logic. Previous work has shown that a multiparty session…

Programming Languages · Computer Science 2021-02-10 Marco Carbone , Sonia Marin , Carsten Schürmann

Concurrent Constraint Programming (CCP) is a simple and powerful model for concurrency where agents interact by telling and asking constraints. Since their inception, CCP-languages have been designed for having a strong connection to logic.…

Logic in Computer Science · Computer Science 2020-02-19 Elaine Pimentel , Carlos Olarte , Vivek Nigam

In real-world federated learning (FL) systems, client participation is intermittent, heterogeneous, and often correlated with data characteristics or resource constraints. Existing fairness approaches in FL primarily focus on equalizing…

Machine Learning · Computer Science 2026-02-17 Stefan Behfar , Richard Mortier

The first-order theory of MALL (multiplicative, additive linear logic) over only equalities is an interesting but weak logic since it cannot capture unbounded (infinite) behavior. Instead of accounting for unbounded behavior via the…

Logic in Computer Science · Computer Science 2010-12-02 David Baelde

We give communication-based semantics and reasoning techniques for Polarized SILL, a rich session-typed programming language with general recursion. Its features include channel and code transmission, synchronous and asynchronous…

Programming Languages · Computer Science 2021-11-03 Ryan Kavanagh

We study the notion of subtyping for session types in a logical setting, where session types are propositions of multiplicative/additive linear logic extended with least and greatest fixed points. The resulting subtyping relation admits a…

Logic in Computer Science · Computer Science 2023-04-14 Ross Horne , Luca Padovani

Session types describe the structure of communications implemented by channels. In particular, they prescribe the sequence of communications, whether they are input or output actions, and the type of value exchanged. Crucial to any language…

Logic in Computer Science · Computer Science 2023-06-22 Dimitris Mostrous , Vasco T. Vasconcelos

Networks of interdependent industrial assets (clients) are tightly coupled through physical processes and control inputs, raising a key question: how would the output of one client change if another client were operated differently? This is…

Machine Learning · Computer Science 2026-03-19 Nazal Mohamed , Ayush Mohanty , Nagi Gebraeel

Curry-Howard correspondences between Linear Logic (LL) and session types provide a firm foundation for concurrent processes. As the correspondences hold for intuitionistic and classic versions of LL (ILL and CLL), we obtain two different…

Logic in Computer Science · Computer Science 2024-07-23 Juan C. Jaramillo , Dan Frumin , Jorge A. Pérez

In the standard sequent presentations of Girard's Linear Logic (LL), there are two "non-decreasing" rules, where the premises are not smaller than the conclusion, namely the cut and the contraction rules. It is a universal concern to…

Logic in Computer Science · Computer Science 2009-09-04 André Hirschowitz , Michel Hirschowitz , Tom Hirschowitz

Information flow control type systems statically restrict the propagation of sensitive data to ensure end-to-end confidentiality. The property to be shown is noninterference, asserting that an attacker cannot infer any secrets from made…

Programming Languages · Computer Science 2021-04-30 Farzaneh Derakhshan , Stephanie Balzer , Limin Jia

Following the idea of Subexponential Linear Logic and Stratified Bounded Linear Logic, we propose a new parameterized version of Linear Logic which subsumes other systems like ELL, LLL or SLL, by including variants of the exponential rules.…

Logic in Computer Science · Computer Science 2022-01-03 Esaïe Bauer , Olivier Laurent

Initiated by Abramsky [1994], the Proofs as Processes agenda is to establish a solid foundation for the study of concurrent languages, by researching the connection between linear logic and the $\pi$-calculus. To date, Proofs as Processes…

Logic in Computer Science · Computer Science 2021-06-23 Fabrizio Montesi , Marco Peressotti

In this paper, a multi-user multi-server queuing system is studied in which each user is constrained to get service from a subset of servers. In the studied system, rate allocation in the sense of max-min fairness results in multi-level…

Networking and Internet Architecture · Computer Science 2016-01-20 Jalal Khamse-Ashari , Ioannis Lambadaris , Yiqiang Zhao

High-demand LLM inference services (e.g., ChatGPT and BARD) support a wide range of requests from short chat conversations to long document reading. To ensure that all client requests are processed fairly, most major LLM inference services…

Artificial Intelligence · Computer Science 2024-06-06 Ying Sheng , Shiyi Cao , Dacheng Li , Banghua Zhu , Zhuohan Li , Danyang Zhuo , Joseph E. Gonzalez , Ion Stoica

Session types are a discipline for the static verification of message-passing programs. A session type specifies a channel's protocol as sequences of exchanges. It is most relevant to investigate session-based concurrency by identifying the…

Programming Languages · Computer Science 2024-01-24 Alen Arslanagic , Jorge A. Pérez , Anda-Amelia Palamariuc

Session types define protocols that processes must follow when communicating. The special case of binary session types, i.e. type annotations of protocols between two parties, is known to be in a propositions-as-types correspondence with…

Programming Languages · Computer Science 2021-12-15 Marco Carbone , Sonia Marin , Carsten Schürmann

Computability logic (CL) (see http://www.cis.upenn.edu/~giorgi/cl.html) is a semantical platform and research program for redeveloping logic as a formal theory of computability, as opposed to the formal theory of truth which it has more…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

The fast growth of service-oriented programming (SOP) is evident in this day and age of the Internet, and handling communication is of paramount importance in SOP. Session types are a formalism that is proposed to specify interactions…

Programming Languages · Computer Science 2018-10-30 Hanwen Wu , Hongwei Xi