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Over the past decades, coordination languages have emerged for the specification and implementation of interaction protocols for communicating software components. This class of languages includes Reo, a platform for compositional…

Programming Languages · Computer Science 2011-08-03 Sung-Shik T. Q. Jongmans , Farhad Arbab

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

This thesis aims to develop a compositional theory for the operational semantics of networks. The networks considered are described by either internal or enriched graphs. In the internal case we focus on $\mathsf{Q}$-nets, a generalization…

Category Theory · Mathematics 2021-05-28 Jade Master

We present an embedding of Petri nets into B abstract systems. The embedding is achieved by translating both the static structure (modelling aspect) and the evolution semantics of Petri nets. The static structure of a Petri-net is captured…

Logic in Computer Science · Computer Science 2007-05-23 Christian Attiogbe

We develop a theory of rewriting for structured cospans in order to extend compositional methods for modeling open networks. First, we introduce a category whose objects are structured cospans, and establish conditions under which it is…

Category Theory · Mathematics 2026-04-06 Daniel Cicala

We show how a particular variety of hierarchical nets, where the firing of a transition in the parent net must correspond to an execution in some child net, can be modelled utilizing a functorial semantics from a free category --…

Category Theory · Mathematics 2021-12-22 Fabrizio Romano Genovese , Jelle Herold , Fosco Loregian , Daniele Palombi

We present a concurrent operational Petri net semantics for the join-calculus, a process calculus for specifying concurrent and distributed systems. There often is a gap between system specifications and the actual implementations caused by…

Logic in Computer Science · Computer Science 2012-08-15 Stephan Mennicke

In this paper we present a compositional semantics for the channel-based coordination language Reo which enables the analysis of quality of service (QoS) properties of service compositions. For this purpose, we annotate Reo channels with…

Software Engineering · Computer Science 2010-07-30 Young-Joo Moon , Alexandra Silva , Christian Krause , Farhad Arbab

Many categorical frameworks have been proposed to formalize the idea of gluing Petri nets with each other. Such frameworks model net gluings in terms of sharing of resources or synchronization of transitions. Interpretations given to these…

Category Theory · Mathematics 2023-06-28 Fabrizio Genovese , Fosco Loregian , Daniele Palombi

Smart speakers and robots become ever more prevalent in our daily lives. These agents are able to execute a wide range of tasks and actions and, therefore, need systems to control their execution. Current state-of-the-art such as (deep)…

Artificial Intelligence · Computer Science 2019-09-16 Christian Dondrup , Ioannis Papaioannou , Oliver Lemon

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

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 give a characterization of colored Petri nets as monoidal double functors. Framing colored Petri nets in terms of category theory allows for canonical definitions of various well-known constructions on colored Petri nets. In particular,…

Category Theory · Mathematics 2025-10-09 Jade Master , Joe Moeller

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

A compositional Petri net-based semantics is given to a simple language allowing pointer manipulation and parallelism. The model is then applied to give a notion of validity to the judgements made by concurrent separation logic that…

Logic in Computer Science · Computer Science 2015-07-01 Jonathan Hayman , Glynn Winskel

A quite flourishing research thread in the recent literature on component-based systems is concerned with the algebraic properties of different classes of connectors. In a recent paper, an algebra of stateless connectors was presented that…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Roberto Bruni , Hernan Melgratti , Ugo Montanari , Pawel Sobocinski

Herein we develop category-theoretic tools for understanding network-style diagrammatic languages. The archetypal network-style diagrammatic language is that of electric circuits; other examples include signal flow graphs, Markov processes,…

Category Theory · Mathematics 2016-09-20 Brendan Fong

In this paper the correspondence between safe Petri nets and event structures, due to Nielsen, Plotkin and Winskel, is extended to arbitrary nets without self-loops, under the collective token interpretation. To this end we propose a more…

Logic in Computer Science · Computer Science 2009-12-22 R. J. van Glabbeek , G. D. Plotkin

Structure-preserving bisimilarity is a truly concurrent behavioral equivalence for finite Petri nets, which relates markings (of the same size only) generating the same causal nets, hence also the same partial orders of events. The process…

Logic in Computer Science · Computer Science 2023-08-21 Roberto Gorrieri

We recently proposed an approach for the specification and modular formal verification of the interactive (I/O) behavior of programs, based on an embedding of Petri nets into separation logic. While this approach is scalable and modular in…

Logic in Computer Science · Computer Science 2019-01-31 Willem Penninckx , Amin Timany , Bart Jacobs
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