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In complex processes, various events can happen in different sequences. The prediction of the next event given an a-priori process state is of importance in such processes. Recent methods have proposed deep learning techniques such as…

Machine Learning · Computer Science 2020-11-04 Julian Theis , Houshang Darabi

Time-Basic Petri nets, is a powerful formalism for model- ing real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2014-09-10 Matteo Camilli

Petri Net is a formalism to describe changes between 2 or more states across discrete time and has been used to model many systems. We present PNet - a pure Python library for Petri Net modeling and simulation in Python programming…

Mathematical Software · Computer Science 2023-02-24 Zhu En Chay , Bing Feng Goh , Maurice HT Ling

Time-Basic Petri nets, is a powerful formalism for modeling real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2021-03-15 Matteo Camilli

Petri nets have found widespread use among many application domains, not least due to their human-friendly graphical syntax for the composition of interacting distributed and asynchronous processes and services, based in partial-order…

Software Engineering · Computer Science 2021-06-08 Heinz W. Schmidt

Most approaches to the synthesis of reactive systems study the problem in terms of a two-player game with complete observation. In many applications, however, the system's environment consists of several distinct entities, and the system…

Logic in Computer Science · Computer Science 2018-09-11 Bernd Finkbeiner , Paul Gölz

Chemical reaction networks (CRNs) model the behavior of molecules in a well-mixed system. The emerging field of molecular programming uses CRNs not only as a descriptive tool, but as a programming language for chemical computation.…

Computational Complexity · Computer Science 2015-09-04 Adam Case , Jack H. Lutz , D. M. Stull

This paper describes a stand-alone, no-frills tool supporting the analysis of (labelled) place/transition Petri nets and the synthesis of labelled transition systems into Petri nets. It is implemented as a collection of independent,…

Logic in Computer Science · Computer Science 2015-08-21 Eike Best , Uli Schlachter

We analyze a timed Petri net model of an emergency call center which processes calls with different levels of priority. The counter variables of the Petri net represent the cumulated number of events as a function of time. We show that…

Optimization and Control · Mathematics 2015-08-26 Xavier Allamigeon , Vianney Bœuf , Stéphane Gaubert

We consider priced timed Petri nets, i.e., unbounded Petri nets where each token carries a real-valued clock. Transition arcs are labeled with time intervals, which specify constraints on the ages of tokens. Furthermore, our cost model…

Logic in Computer Science · Computer Science 2015-07-01 Richard M. Mayr , Parosh Aziz Abdulla

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

Reaction networks are a general formalism for describing collections of classical entities interacting in a random way. While reaction networks are mainly studied by chemists, they are equivalent to Petri nets, which are used for similar…

Mathematical Physics · Physics 2021-11-23 John C. Baez

Here we focus on the challenge of verifying the correctness of molecular implementations of abstract chemical reaction networks, where operation in a well-mixed "soup" of molecules is stochastic, asynchronous, concurrent, and often involves…

Computational Engineering, Finance, and Science · Computer Science 2019-10-01 Seung Woo Shin , Chris Thachuk , Erik Winfree

Reversible computation is an unconventional form of computing where any executed sequence of operations can be executed in reverse at any point during computation. It has recently been attracting increasing attention in various research…

Logic in Computer Science · Computer Science 2018-04-13 Anna Philippou , Kyriaki Psara

Recent developments in computational chemistry facilitate the automated quantum chemical exploration of chemical reaction networks for the in-silico prediction of synthesis pathways, yield, and selectivity. However, the underlying quantum…

Chemical Physics · Physics 2025-10-22 Marco Eckhoff , Markus Reiher

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

Machine Learning · Statistics 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

We use categorical methods to define a new flavor of Petri nets where transitions can only fire a limited number of times, specified by a quantity that we call mana. We do so with chemistry in mind, looking at ways of modelling the behavior…

Category Theory · Mathematics 2021-12-30 Fabrizio Romano Genovese , Fosco Loregian , Daniele Palombi

Petri nets are a classical model of concurrency widely used and studied in formal verification with many applications in modeling and analyzing hardware and software, data bases, and reactive systems. The reachability problem is central…

Logic in Computer Science · Computer Science 2022-10-19 Jérôme Leroux

In this report, we detail the model using Petri Nets of a new fully distributed resource reservation system. The basic idea of the considered distributed system is to let a user reserve a set of resources on a local network and to use them,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-12 Camille Coti , Sami Evangelista , Kais Klai

In this paper we introduce the notion of spread net. Spread nets are (safe) Petri nets equipped with vector clocks on places and with ticking functions on transitions, and are such that vector clocks are consistent with the ticking of…

Logic in Computer Science · Computer Science 2018-10-19 Eric Fabre , G. Michele Pinna