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Ill-founded (or non-wellfounded) proof systems have emerged as a natural framework for inductive and coinductive reasoning. In such systems, soundness relies on global correctness criteria, such as the progressivity condition. Ensuring that…

Logic in Computer Science · Computer Science 2026-02-16 Gianluca Curzi , Graham E. Leigh

In traditional federated learning, a single global model cannot perform equally well for all clients. Therefore, the need to achieve the client-level fairness in federated system has been emphasized, which can be realized by modifying the…

Machine Learning · Computer Science 2025-10-09 Seok-Ju Hahn , Gi-Soo Kim , Junghye Lee

We present a system of session types based on adjoint logic which generalize standard binary session types. Our system allows us to uniformly capture several new behaviors in the space of asynchronous message-passing communication,…

Programming Languages · Computer Science 2019-04-03 Klaas Pruiksma , Frank Pfenning

Federated learning (FL) is a machine learning paradigm where multiple clients collaborate to optimize a single global model using their private data. The global model is maintained by a central server that orchestrates the FL training…

Machine Learning · Computer Science 2024-02-14 Waqwoya Abebe , Pablo Munoz , Ali Jannesari

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

Linear causal disentanglement is a recent method in causal representation learning to describe a collection of observed variables via latent variables with causal dependencies between them. It can be viewed as a generalization of both…

Machine Learning · Statistics 2024-07-08 Paula Leyes Carreno , Chiara Meroni , Anna Seigal

Large language models (LLMs) are increasingly used as reasoning modules in many applications. While they are efficient in certain tasks, LLMs often struggle to produce human-aligned solutions. Human-aligned decision making requires…

Artificial Intelligence · Computer Science 2026-05-14 Alina Hyk , Sandhya Saisubramanian

We present cTI, the first system for universal left-termination inference of logic programs. Termination inference generalizes termination analysis and checking. Traditionally, a termination analyzer tries to prove that a given class of…

Programming Languages · Computer Science 2007-05-23 Fred Mesnard , Roberto Bagnara

We present a logical system CFP (Concurrent Fixed Point Logic) from whose proofs one can extract nondeterministic and concurrent programs that are provably total and correct with respect to the proven formula. CFP is an intuitionistic…

Logic in Computer Science · Computer Science 2022-02-01 Ulrich Berger , Hideki Tsuiki

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

Logic in Computer Science · Computer Science 2011-02-08 Giorgi Japaridze

Customers arrive at rate N times alpha on a network of N single server infinite buffer queues, choose L queues uniformly, join the shortest one, and are served there in turn at rate beta. We let N go to infinity.We prove a functional…

Probability · Mathematics 2007-05-23 Carl Graham

The emergence of propositions-as-sessions, a Curry-Howard correspondence between propositions of Linear Logic and session types for concurrent processes, has settled the logical foundations of message-passing concurrency. Central to this…

Logic in Computer Science · Computer Science 2022-09-13 Dan Frumin , Emanuele D'Osualdo , Bas van den Heuvel , Jorge A. Pérez

A broad class of parallel server systems is considered, for which we prove the steady-state asymptotic independence of server workloads, as the number of servers goes to infinity, while the system load remains sub-critical. Arriving jobs…

Probability · Mathematics 2020-12-21 Seva Shneer , Alexander Stolyar

Session types denote message protocols between concurrent processes, allowing a type-safe expression of inter-process communication. Although previous work demonstrate a well-defined notion of subtyping where processes have different…

Programming Languages · Computer Science 2021-11-29 Chuta Sano , Stephanie Balzer , Frank Pfenning

Program equivalence is the fulcrum for reasoning about and proving properties of programs. For noninterference, for example, program equivalence up to the secrecy level of an observer is shown. A powerful enabler for such proofs are logical…

Programming Languages · Computer Science 2022-08-31 Farzaneh Derakhshan , Stephanie Balzer

In this paper, we present a typed lambda calculus ${\bf SILL}(\lambda)_{\Sigma}$, a type-theoretic version of intuitionistic linear logic with subexponentials, that is, we have many resource comonadic modalities with some interconnections…

Logic · Mathematics 2025-10-03 Daniel Rogozin

We investigate how different fairness assumptions affect results concerning lock-freedom, a typical liveness property targeted by session type systems. We fix a minimal session calculus and systematically take into account all known…

Logic in Computer Science · Computer Science 2021-04-30 Rob van Glabbeek , Peter Höfner , Ross Horne

This review report discusses the cold start latency in serverless inference and existing solutions. It particularly reviews the ServerlessLLM method, a system designed to address the cold start problem in serverless inference for large…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-26 Himel Ghosh

Imperative session types provide an imperative interface to session-typed communication. In such an interface, channel references are first-class objects with operations that change the typestate of the channel. Compared to functional…

Programming Languages · Computer Science 2023-06-22 Hannes Saffrich , Peter Thiemann

Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus involving induction and co-induction. These proof principles…

Logic in Computer Science · Computer Science 2010-10-01 Alwen Tiu , Alberto Momigliano
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