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Related papers: Decidability Issues for Petri Nets -- a survey

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The reachability semantics for Petri nets can be studied using open Petri nets. For us an "open" Petri net is one with certain places designated as inputs and outputs via a cospan of sets. We can compose open Petri nets by gluing the…

Category Theory · Mathematics 2022-07-26 John C. Baez , Jade Master

Assigning a satisfactory truly concurrent semantics to Petri nets with confusion and distributed decisions is a long standing problem, especially if one wants to resolve decisions by drawing from some probability distribution. Here we…

Logic in Computer Science · Computer Science 2023-06-22 Roberto Bruni , Hernán Melgratti , Ugo Montanari

Detectability describes the property of an system whose current and the subsequent states can be uniquely determined after a finite number of observations. In this paper, we relax detectability to C-detectability that only requires a given…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

We introduce a technique for reachability analysis of Time-Basic (TB) Petri nets, a powerful formalism for real- time systems where time constraints are expressed as intervals, representing possible transition firing times, whose bounds are…

Software Engineering · Computer Science 2011-07-07 Carlo Bellettini , Lorenzo Capra

Unordered data Petri nets (UDPN) are an extension of classical Petri nets with tokens that carry data from an infinite domain and where transitions may check equality and disequality of tokens. UDPN are well-structured, so the coverability…

Formal Languages and Automata Theory · Computer Science 2019-02-18 Utkarsh Gupta , Preey Shah , S. Akshay , Piotr Hofman

Detectability of discrete event systems (DESs) is a property to determine a priori whether the current and subsequent states can be determined based on observations. In this paper, we investigate the verification of two detectability…

Logic in Computer Science · Computer Science 2018-11-30 Tomas Masopust , Xiang Yin

Place bisimilarity $\sim_p$ is a behavioral equivalence for finite Petri nets, originally proposed in \cite{ABS91}, that, differently from all the other behavioral relations proposed so far, is not defined over the markings of a finite net,…

Logic in Computer Science · Computer Science 2024-03-18 Roberto Gorrieri

SMPT (for Satisfiability Modulo Petri Net) is a model checker for reachability problems in Petri nets. It started as a portfolio of methods to experiment with symbolic model checking, and was designed to be easily extended. Some distinctive…

Logic in Computer Science · Computer Science 2023-03-01 Nicolas Amat , Silvano Dal Zilio

The worldwide healthcare organizations are facing a number of daunting challenges forcing systems to benefit from modern technologies and telecom capabilities. Hence, systems evolution through extension of the existing information…

Software Engineering · Computer Science 2012-10-23 Sabri Mtibaa , Moncef Tagina

Petri nets are a modeling formalism capable of describing complex distributed systems and there exists a large number of both academic and industrial tools that enable automatic verification of model properties. Typical questions include…

Logic in Computer Science · Computer Science 2026-01-12 Bruno Maria René Gonzalez , Peter Gjøl Jensen , Stefan Schmid , Jiří Srba , Martin Zimmermann

This document demonstrates that the efficient approach for diagnosis of Petri nets via integer linear programming may be unable to detect a fault even if the system is diagnosable.

Systems and Control · Computer Science 2012-10-17 Alban Grastien

We prove that the well-known (strong) fully-concurrent bisimilarity and the novel i-causal-net bisimilarity, which is a sligtlhy coarser variant of causal-net bisimilarity, are decidable for finite bounded Petri nets. The proofs are based…

Logic in Computer Science · Computer Science 2024-02-14 Arnaldo Cesco , Roberto Gorrieri

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

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

In this talk we are concerned with the intrinsic similarities and differences between Petri nets on the one hand, and membrane systems and reaction systems on the other hand.

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-18 Jetty Kleijn , Maciej Koutny , Grzegorz Rozenberg

We prove that $\omega$-languages of (non-deterministic) Petri nets and $\omega$-languages of (non-deterministic) Turing machines have the same topological complexity: the Borel and Wadge hierarchies of the class of $\omega$-languages of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Olivier Finkel , Michał Skrzypczak

In the early two-thousands, Recursive Petri nets have been introduced in order to model distributed planning of multi-agent systems for which counters and recursivity were necessary. Although Recursive Petri nets strictly extend Petri nets…

Logic in Computer Science · Computer Science 2023-06-22 Alain Finkel , Serge Haddad , Igor Khmelnitsky

We study the reachability problem for communicating timed processes, both in discrete and dense time. Our model comprises automata with local timing constraints communicating over unbounded FIFO channels. Each automaton can only access its…

Logic in Computer Science · Computer Science 2015-03-20 Lorenzo Clemente , Frédéric Herbreteau , Amélie Stainer , Grégoire Sutre

We study linear-time temporal logics interpreted over data words with multiple attributes. We restrict the atomic formulas to equalities of attribute values in successive positions and to repetitions of attribute values in the future or…

Logic in Computer Science · Computer Science 2019-03-14 Stephane Demri , Diego Figueira , M Praveen

Timing aspects in formalisms with explicit resources and parallelism are investigated, and it is presented a formal link between timed membrane systems and timed Petri nets with localities. For both formalisms, timing does not increase the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-07 Bogdan Aman , Gabriel Ciobanu