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This paper presents a concrete and a symbolic rewriting logic semantics for parametric time Petri nets with inhibitor arcs (PITPNs), a flexible model of timed systems where parameters are allowed in firing bounds. We prove that our…

Logic in Computer Science · Computer Science 2026-04-08 Jaime Arias , Kyungmin Bae , Carlos Olarte , Peter Csaba Ölveczky , Laure Petrucci

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

We investigate the problem of parameter synthesis for time Petri nets with a cost variable that evolves both continuously with time, and discretely when firing transitions. More precisely, parameters are rational symbolic constants used for…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Didier Lime , Olivier H. Roux , Charlotte Seidner

Petri Nets (PN) are extensively used as a robust formalism to model concurrent and distributed systems; however, they encounter difficulties in accurately modeling adaptive systems. To address this issue, we defined rewritable PT nets…

Performance · Computer Science 2024-11-01 Lorenzo Capra , Marco Gribaudo

We present a framework suited to the analysis of cryptographic protocols that make use of time in their execution. We provide a process algebra syntax that makes time information available to processes, and a transition semantics that takes…

Cryptography and Security · Computer Science 2020-10-27 Damián Aparicio-Sánchez , Santiago Escobar , Catherine Meadows , Jose Meseguer , Julia Sapiña

Petri Nets (PN) are widely used for modeling concurrent and distributed systems, but face challenges in modeling adaptive systems. To address this, we have formalized "rewritable" PT nets (RwPT) using Maude, a declarative language with…

Performance · Computer Science 2025-02-14 Lorenzo Capra

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

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

Negotiation diagrams are a model of concurrent computation akin to workflow Petri nets. Deterministic negotiation diagrams, equivalent to the much studied and used free-choice workflow Petri nets, are surprisingly amenable to verification.…

Logic in Computer Science · Computer Science 2017-04-14 Javier Esparza , Anca Muscholl , Igor Walukiewicz

Bounded model finding is a key technique for validating software designs, usually obtained by translating high-level specifications into SAT/SMT problems. Although effective, such translations introduce a semantic gap and a dependency on…

Logic in Computer Science · Computer Science 2026-03-24 Artur Boronat

Model checking is a powerful technique for software verification. However, the approach notably suffers from the infamous state space explosion problem. To tackle this, in this paper, we introduce a novel symbolic method for encoding Petri…

Logic in Computer Science · Computer Science 2026-02-04 Damien Morard , Lucas Donati , Didier Buchs

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

Narrowing and unification are very useful tools for symbolic analysis of rewrite theories, and thus for any model that can be specified in that way. A very clear example of their application is the field of formal cryptographic protocol…

Symbolic Computation · Computer Science 2023-07-14 Raúl López-Rueda , Santiago Escobar , Julia Sapiña

This paper presents a set of algorithms for computing the reachability graph of Petri Net Product Lines (PNPLs). These algorithms address the combined challenges of concurrency and variability that arise from product-line configurations.…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Elena Gómez-Martínez , José Ignacio Requeno Jarabo

Concurrent functional languages that are endowed with symbolic reasoning capabilities such as Maude offer a high-level, elegant, and efficient approach to programming and analyzing complex, highly nondeterministic software systems. Maude's…

Logic in Computer Science · Computer Science 2019-07-29 María Alpuente , Demis Ballis , Santiago Escobar , Julia Sapiña

The theory of Petri Nets provides a general framework to specify the behaviors of real-time reactive systems and Time Petri Nets were introduced to take also temporal specifications into account. We present in this paper a forward…

Logic in Computer Science · Computer Science 2007-05-23 Guillaume Gardey , Olivier H. Roux , Olivier F. Roux

Timed-arc Petri nets (TAPN) are a well-known time extension of the Petri net model and several translations to networks of timed automata have been proposed for this model. We present a direct, DBM-based algorithm for forward reachability…

Logic in Computer Science · Computer Science 2012-11-28 Alexandre David , Lasse Jacobsen , Morten Jacobsen , Jiří Srba

The JEDEC committee defines various domain-specific DRAM standards. These standards feature increasingly complex and evolving protocol specifications, which are detailed in timing diagrams and command tables. Understanding these protocols…

Hardware Architecture · Computer Science 2026-02-12 Derek Christ , Thomas Zimmermann , Philippe Barbie , Dmitri Saberi , Yao Yin , Matthias Jung

Model checking is an important aim of the theoretical computer science. It enables the verification of a model with a set of properties such as liveness, deadlock or safety. One of the typical modelling techniques are Petri nets they are…

Formal Languages and Automata Theory · Computer Science 2014-11-13 Alexander Schulz

Rewriting logic is both a flexible semantic framework within which widely different concurrent systems can be naturally specified and a logical framework in which widely different logics can be specified. Maude programs are exactly rewrite…

Logic in Computer Science · Computer Science 2019-10-21 Francisco Durán , Steven Eker , Santiago Escobar , Narciso Martí-Oliet , José Meseguer , Rubén Rubio , Carolyn Talcott
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