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In this paper, we propose a compositional approach to constructing correct formal models of information systems from correct models of interacting components. Component behavior is represented using workflow nets - a class of Petri nets.…

Logic in Computer Science · Computer Science 2022-08-03 Luca Bernardinello , Irina Lomazova , Roman Nesterov , Lucia Pomello

Bisimulation metric is a robust behavioural semantics for probabilistic processes. Given any SOS specification of probabilistic processes, we provide a method to compute for each operator of the language its respective metric…

Programming Languages · Computer Science 2014-08-08 Daniel Gebler , Simone Tini

Petri nets are an established graphical formalism for modeling and analyzing the behavior of systems. An important consideration of the value of Petri nets is their use in describing both the syntax and semantics of modeling formalisms.…

Software Engineering · Computer Science 2018-10-24 Sabah Al-Fedaghi , Dana Shbeeb

We formalise a general concept of distributed systems as sequential components interacting asynchronously. We define a corresponding class of Petri nets, called LSGA nets, and precisely characterise those system specifications which can be…

Logic in Computer Science · Computer Science 2015-07-01 Rob J. van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke-Uffmann

Graph transformation systems (GTS) have been successfully proposed as a general, theoretically sound model for concurrency. Petri nets (PN), on the other side, are a central and intuitive formalism for concurrent or distributed systems,…

Formal Languages and Automata Theory · Computer Science 2019-09-05 Lorenzo Capra

We assess the descriptive complexity of *bisimilarity* or "equality of behavior" on a family of Markov decision processes over uncountable standard Borel spaces, namely *nondeterministic labelled Markov processes* (NLMP). We show that…

Logic in Computer Science · Computer Science 2026-04-09 Martín Santiago Moroni , Pedro Sánchez Terraf

In 1987 Ernst-R\"udiger Olderog provided an operational Petri net semantics for a subset of CCSP, the union of Milner's CCS and Hoare's CSP. It assigns to each process term in the subset a labelled, safe place/transition net. To demonstrate…

Logic in Computer Science · Computer Science 2015-09-22 Rob van Glabbeek

We introduce a novel technique for checking reachability in Petri nets that relies on a recently introduced compositional algebra of nets. We prove that the technique is correct, and discuss our implementation. We report promising…

Logic in Computer Science · Computer Science 2014-04-22 Paweł Sobocinski , Owen Stephens

The operational semantics of interactive systems is usually described by labeled transition systems. Abstract semantics (that is defined in terms of bisimilarity) is characterized by the final morphism in some category of coalgebras. Since…

Logic in Computer Science · Computer Science 2015-07-01 Filippo Bonchi , Ugo Montanari

Information flow security properties were defined some years ago (see, e.g., the surveys \cite{FG01,Ry01}) in terms of suitable equivalence checking problems. These definitions were provided by using sequential models of computations (e.g.,…

Cryptography and Security · Computer Science 2023-10-02 Roberto Gorrieri

Classical Petri nets provide a canonical model of concurrency, with unfolding semantics linking nets, occurrence nets, and event structures. No comparable framework exists for quantum concurrency: existing ''quantum Petri nets'' lack…

Logic in Computer Science · Computer Science 2025-09-18 Julien Saan Joachim , Marc de Visme , Stefan Haar , Glynn Winskel

Classical Petri nets provide a canonical model of concurrency, with unfolding semantics linking nets, occurrence nets, and event structures. No comparable framework exists for quantum concurrency: existing ''quantum Petri nets'' lack…

Logic in Computer Science · Computer Science 2025-08-21 Julien Saan Joachim , Marc de Visme , Stefan Haar

Petri nets provide accurate analogues to chemical reaction networks, with places representing individual molecules (the resources of the system) and transitions representing chemical reactions which convert educt molecules into product…

Discrete Mathematics · Computer Science 2025-09-03 Addie Jordon , Juri Kolčák , Daniel Merkle

We consider approaches for causal semantics of Petri nets, explicitly representing dependencies between transition occurrences. For one-safe nets or condition/event-systems, the notion of process as defined by Carl Adam Petri provides a…

Logic in Computer Science · Computer Science 2021-03-02 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke

We investigate bisimulation equivalence on Petri nets under durational semantics. Our motivation was to verify the conjecture that in durational setting, the bisimulation equivalence checking problem becomes more tractable than in ordinary…

Computational Complexity · Computer Science 2015-06-29 Slawomir Lasota , Marcin Poturalski

Petri nets are a well-known model of concurrency and provide an ideal setting for the study of fundamental aspects in concurrent systems. Despite their simplicity, they still lack a satisfactory causally reversible semantics. We develop…

Logic in Computer Science · Computer Science 2023-06-22 Hernán Melgratti , Claudio Antares Mezzina , Irek Ulidowski

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

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

We present a unified framework for Petri nets and various variants, such as pre-nets and Kock's whole-grain Petri nets. Our framework is based on a less well-studied notion that we call $\Sigma$-nets, which allow finer control over whether…

Category Theory · Mathematics 2021-04-28 John C. Baez , Fabrizio Genovese , Jade Master , Michael Shulman

We study which standard operators of probabilistic process calculi allow for compositional reasoning with respect to bisimulation metric semantics. We argue that uniform continuity (generalizing the earlier proposed property of…

Logic in Computer Science · Computer Science 2019-03-14 Daniel Gebler , Kim G. Larsen , Simone Tini