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Bisimulations are standard in modal logic and, more generally, in the theory of state-transition systems. The quotient structure of a Kripke model with respect to the bisimulation relation is called a bisimulation contraction. The…

Logic in Computer Science · Computer Science 2024-05-02 Thomas Bolander , Alessandro Burigana

One-counter nets (OCN) are Petri nets with exactly one unbounded place. They are equivalent to a subclass of one-counter automata with only a weak test for zero. We show that weak simulation preorder is decidable for OCN and that weak…

Formal Languages and Automata Theory · Computer Science 2014-06-17 Piotr Hofman , Richard Mayr , Patrick Totzke

The verification of linearizability -- a key correctness criterion for concurrent objects -- is based on trace refinement whose checking is PSPACE-complete. This paper suggests to use \emph{branching} bisimulation instead. Our approach is…

Programming Languages · Computer Science 2024-01-03 Xiaoxiao Yang , Joost-Pieter Katoen , Hao Wu

Bipartite networks are a natural representation of the interactions between entities from two different types. The organization (or topology) of such networks gives insight to understand the systems they describe as a whole. Here, we rely…

Statistics Theory · Mathematics 2023-10-17 Sarah Ouadah , Pierre Latouche , Stéphane Robin

A bisimulation for a coalgebra of a functor on the category of sets can be described via a coalgebra in the category of relations, of a lifted functor. A final coalgebra then gives rise to the coinduction principle, which states that two…

Logic in Computer Science · Computer Science 2023-06-22 Herman Geuvers , Bart Jacobs

Learning with few labeled data is a key challenge for visual recognition, as deep neural networks tend to overfit using a few samples only. One of the Few-shot learning methods called metric learning addresses this challenge by first…

Computer Vision and Pattern Recognition · Computer Science 2022-03-28 Li Ke , Meng Pan , Weigao Wen , Dong Li

Hybrid Communicating Sequential Processes (HCSP) is a powerful formal modeling language for hybrid systems, which is an extension of CSP by introducing differential equations for modeling continuous evolution and interrupts for modeling…

Logic in Computer Science · Computer Science 2016-09-09 Gaogao Yan , Li Jiao , Yangjia Li , Shuling Wang , Naijun Zhan

This paper constitutes a short introduction to parametric verification of concurrent systems. It originates from two 1-day tutorial sessions held at the Petri nets conferences in Toru\'n (2016) and Zaragoza (2017). The paper presents not…

Logic in Computer Science · Computer Science 2020-09-29 Étienne André , Michał Knapik , Didier Lime , Wojciech Penczek , Laure Petrucci

In reversible computations one is interested in the development of mechanisms allowing to undo the effects of executed actions. The past research has been concerned mainly with reversing single actions. In this paper, we consider the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 David de Frutos Escrig , Maciej Koutny , Łukasz Mikulski

We see how nested sequents, a natural generalisation of hypersequents, allow us to develop a systematic proof theory for modal logics. As opposed to other prominent formalisms, such as the display calculus and labelled sequents, nested…

Logic in Computer Science · Computer Science 2010-04-13 Kai Brünnler

Petri networks and network models are two frameworks for the compositional design of systems of interacting entities. Here we show how to combine them using the concept of a "catalyst": an entity that is neither destroyed nor created by any…

Category Theory · Mathematics 2024-08-07 John C. Baez , John Foley , Joe Moeller

Plausibility models are Kripke models that agents use to reason about knowledge and belief, both of themselves and of each other. Such models are used to interpret the notions of conditional belief, degrees of belief, and safe belief. The…

Artificial Intelligence · Computer Science 2018-02-06 Mikkel Birkegaard Andersen , Thomas Bolander , Hans van Ditmarsch , Martin Holm Jensen

Reactive systems \`a la Leifer and Milner, an abstract categorical framework for rewriting, provide a suitable framework for deriving bisimulation congruences. This is done by synthesizing interactions with the environment in order to…

Logic in Computer Science · Computer Science 2023-07-14 Mathias Hülsbusch , Barbara König , Sebastian Küpper , Lara Stoltenow

Model stitching (Lenc & Vedaldi 2015) is a compelling methodology to compare different neural network representations, because it allows us to measure to what degree they may be interchanged. We expand on a previous work from Bansal,…

Machine Learning · Computer Science 2023-09-04 Adriano Hernandez , Rumen Dangovski , Peter Y. Lu , Marin Soljacic

We introduce proof nets for PiL, an extension of first-order multiplicative additive linear logic with new operators allowing a shallow encoding of processes in the {\pi}-calculus as formulas. We provide correctness criterion,…

Logic in Computer Science · Computer Science 2026-05-15 Matteo Acclavio , Giulia Manara

This paper presents a simple notion of proof net for multiplicative linear logic with units. Cut elimination is direct and strongly normalising, in contrast to previous approaches which resorted to moving jumps (attachments) of par units…

Logic · Mathematics 2007-05-23 Dominic Hughes

We propose a framework for reasoning about unbounded dynamic networks of infinite-state processes. We propose Constrained Petri Nets (CPN) as generic models for these networks. They can be seen as Petri nets where tokens (representing…

Logic in Computer Science · Computer Science 2015-07-01 Ahmed Bouajjani , Cezara Dragoi , Constantin Enea , Yan Jurski , Mihaela Sighireanu

Interacting systems are increasingly common. Many examples pervade our everyday lives: automobiles, aircraft, defense systems, telephone switching systems, financial systems, national governments, and so on. Closer to computer science,…

Software Engineering · Computer Science 2015-04-10 Paul C. Jorgensen

Interaction nets are a graphical model of computation, which has been used to define efficient evaluators for functional calculi, and specifically lambda calculi with patterns. However, the flat structure of interaction nets forces pattern…

Logic in Computer Science · Computer Science 2013-02-27 Maribel Fernández , Ian Mackie , Matthew Walker

Few-shot learning for fine-grained image classification has gained recent attention in computer vision. Among the approaches for few-shot learning, due to the simplicity and effectiveness, metric-based methods are favorably state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2021-02-03 Xiaoxu Li , Jijie Wu , Zhuo Sun , Zhanyu Ma , Jie Cao , Jing-Hao Xue
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