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In this paper, we show that a simple coloring scheme can improve, both theoretically and empirically, the expressive power of Message Passing Neural Networks(MPNNs). More specifically, we introduce a graph neural network called Colored…

Machine Learning · Computer Science 2019-12-13 George Dasoulas , Ludovic Dos Santos , Kevin Scaman , Aladin Virmaux

Continuous Markovian Logic (CML) is a multimodal logic that expresses quantitative and qualitative properties of continuous-time labelled Markov processes with arbitrary (analytic) state-spaces, henceforth called continuous Markov processes…

Logic in Computer Science · Computer Science 2015-07-01 Radu Mardare , Luca Cardelli , Kim G. Larsen

We consider a logic used to describe sets of configurations of distributed systems, whose network topologies can be changed at runtime, by reconfiguration programs. The logic uses inductive definitions to describe networks with an unbounded…

Logic in Computer Science · Computer Science 2022-04-27 Marius Bozga , Lucas Bueri , Radu Iosif

Large language models (LLMs) have demonstrated impressive capabilities in natural language understanding and generation, including multi-step reasoning such as mathematical proving. However, existing approaches often lack an explicit and…

Computation and Language · Computer Science 2026-05-19 Yutong Li , Yitian Zhou , Xudong Wang , GuoChen , Caiyan Qin

A new graphical framework, Abridged Petri Nets (APNs) is introduced for bottom-up modeling of complex stochastic systems. APNs are similar to Stochastic Petri Nets (SPNs) in as much as they both rely on component-based representation of…

Other Computer Science · Computer Science 2013-12-11 Vitali Volovoi

Continuous time recurrent neural networks (CTRNN) are systems of coupled ordinary differential equations that are simple enough to be insightful for describing learning and computation, from both biological and machine learning viewpoints.…

Dynamical Systems · Mathematics 2021-06-18 Peter Ashwin , Claire M Postlethwaite

Existing methods for scene text detection can be divided into two paradigms: segmentation-based and anchor-based. While Segmentation-based methods are well-suited for irregular shapes, they struggle with compact or overlapping layouts.…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Longhuang Wu , Shangxuan Tian , Youxin Wang , Pengfei Xiong

Green supply chain is an emerging approach in supply chain management to reduce environmental impact of the process concerning the flow of goods and materials. As a discrete-event system, supply chain can be modeled using Petri Nets.…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Daffa R. Kaiyandra , Farizal F , Naly Rakoto

Supply chains involve geographically distributed manufacturing and assembly sites that must be coordinated under strict timing and resource constraints. While many existing approaches rely on Colored Petri Nets to model material flows, this…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Eric Lubat , Pierre-Emmanuel Hladik , Yoann Mateu , Rémi Sauvère

We introduce stochastic decision Petri nets (SDPNs), which are a form of stochastic Petri nets equipped with rewards and a control mechanism via the deactivation of controllable transitions. Such nets can be translated into Markov decision…

Logic in Computer Science · Computer Science 2023-03-24 Florian Wittbold , Rebecca Bernemann , Reiko Heckel , Tobias Heindel , Barbara König

We investigate the decidability and complexity status of model-checking problems on unlabelled reachability graphs of Petri nets by considering first-order and modal languages without labels on transitions or atomic propositions on…

Logic in Computer Science · Computer Science 2015-07-01 Philippe Darondeau , Stephane Demri , Roland Meyer , Christophe Morvan

Course-prerequisite networks (CPNs) are directed acyclic graphs that model complex academic curricula by representing courses as nodes and dependencies between them as directed links. These networks are indispensable tools for visualizing,…

Physics and Society · Physics 2025-07-01 Konstantin Zuev , Pavlos Stavrinides

The search for a logic capturing PTIME is a long standing open problem in finite model theory. One of the most promising candidate logics for this is Choiceless Polynomial Time with counting (CPT). Abstractly speaking, CPT is an…

Logic in Computer Science · Computer Science 2024-01-17 Benedikt Pago

Asynchronously communicating pushdown systems (ACPS) that satisfy the empty-stack constraint (a pushdown process may receive only when its stack is empty) are a popular decidable model for recursive programs with asynchronous atomic…

Logic in Computer Science · Computer Science 2015-01-20 Jonathan Kochems , C. -H. Luke Ong

We investigate the problem asking whether the intersection of a context-free language (CFL) and a Petri net language (PNL) is empty. Our contribution to solve this long-standing problem which relates, for instance, to the reachability…

Formal Languages and Automata Theory · Computer Science 2015-03-19 Mohamed Faouzi Atig , Pierre Ganty

Petri Nets (PN) are a central, theoretically sound model for concurrent or distributed systems but, at least in their classical definition, not expressive enough to represent dynamic reconfiguration capabilities. On the other side,…

Logic in Computer Science · Computer Science 2021-11-17 Lorenzo Capra

In this paper bounded model checking of asynchronous concurrent systems is introduced as a promising application area for answer set programming. As the model of asynchronous systems a generalisation of communicating automata, 1-safe Petri…

Logic in Computer Science · Computer Science 2007-05-23 Keijo Heljanko , Ilkka Niemelä

Constraint Programming (CP) has proved an effective paradigm to model and solve difficult combinatorial satisfaction and optimisation problems from disparate domains. Many such problems arising from the commercial world are permeated by…

Artificial Intelligence · Computer Science 2018-08-08 Neil Yorke-Smith , Carmen Gervet

MCC is a tool designed for a very specific task: to transform the models of High-Level Petri nets, given in the PNML syntax, into equivalent Place/Transition nets. The name of the tool derives from the annual Model-Checking Contest, a…

Logic in Computer Science · Computer Science 2020-03-23 Silvano Dal Zilio

Our objective is to design a controlled system with a simple method for discrete event systems based on Petri nets. It is possible to construct the Petri net model of a system and the specification separately. By synchronous composition of…

Information Theory · Computer Science 2009-01-28 Abbas Dideban , Hassane. Alla