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We build on the correspondence between Petri nets and free symmetric strict monoidal categories already investigated in the literature, and present a categorical semantics for Petri nets with guards. This comes in two flavors: Deterministic…

Category Theory · Mathematics 2020-12-14 Fabrizio Genovese , David I. Spivak

There are different ways to define similarity for grouping similar texts into clusters, as the concept of similarity may depend on the purpose of the task. For instance, in topic extraction similar texts mean those within the same semantic…

Computation and Language · Computer Science 2013-03-05 Diego R. Amancio , Osvaldo N. Oliveira , Luciano da F. Costa

The situation calculus logic model is convenient for modelling the actions that can occur in an information system application. The interplay of pre-conditions and post-conditions determines a semantically justified partial order of the…

Logic in Computer Science · Computer Science 2022-07-04 Edirlei Soares de Lima , Antonio L. Furtado , Bruno Feijó , Marco A. Casanova

The theory of free-choice Petri nets is an established field, initiated in the 1970s by Commoner and Hack at MIT. We revisit well-formed free-choice nets (those admitting markings that are both live and bounded) and provide a new…

Formal Languages and Automata Theory · Computer Science 2026-02-03 Petr Jancar , Eike Best , Raymond Devillers , Matej Ostadal

In this paper, we present an integrated structural and behavioral model of Reo connectors and Petri nets, allowing a direct comparison of the two concurrency models. For this purpose, we introduce a notion of connectors which consist of a…

Logic in Computer Science · Computer Science 2009-12-01 Christian Krause

In order to deal efficiently with the exponential growth of the Web services landscape in composition life cycle activities, it is necessary to have a clear view of its main features. As for many situations where there is a lot of…

Software Engineering · Computer Science 2013-05-03 Chantal Cherifi , Jean-François Santucci

Unfoldings are a well known partial-order semantics of P/T Petri nets that can be applied to various model checking or verification problems. For high-level Petri nets, the so-called symbolic unfolding generalizes this notion. A complete…

Logic in Computer Science · Computer Science 2026-04-08 Nick Würdemann , Thomas Chatain , Stefan Haar , Lukas Panneke

To develop a full abstract denotational model of a process language based on prebisimulation preorder, its behavioural semantics has two problems: (1) Two processes related by a standard denotational interpretation afford the same finite…

Logic in Computer Science · Computer Science 2026-05-11 Yong Wang

Every function on a finite set defines an equivalence relation and, therefore, a partition called the kernel of the function. Automata such that every possible partition is the kernel of a word are called totally compatible. A…

Formal Languages and Automata Theory · Computer Science 2021-10-12 David Fernando Casas Torres

Purpose: This study extends the structural theory of finite commutative ternary $\Gamma$-semirings into a computational and categorical framework for explicit classification and constructive reasoning. Methods: Constraint-driven enumeration…

Rings and Algebras · Mathematics 2026-02-04 Chandrasekhar Gokavarapu , Dr D Madhusudhana Rao

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 consider biochemical systems associated with a generalised class of Petri nets with possibly negative token numbers. We show that the existence of a structural polyhedral Lyapunov function for the biochemical system is equivalent to the…

Systems and Control · Electrical Eng. & Systems 2021-09-07 Franco Blanchini , Carlos Andrés Devia , Giulia Giordano

The execution of an event in a complex and distributed system where the dependencies vary during the evolution of the system can be represented in many ways, and one of them is to use Context-Dependent Event structures. Event structures are…

Logic in Computer Science · Computer Science 2023-06-22 G. Michele Pinna

The concept of must testing is naturally parametrised with a chosen completeness criterion, defining the complete runs of a system. Here I employ justness as this completeness criterion, instead of the traditional choice of progress. The…

Logic in Computer Science · Computer Science 2022-12-20 Rob van Glabbeek

Coherence is a central issue in category theory and multicategory theory, ensuring that formally distinct compositions of morphisms, such as tensor reorderings or diagrammatic rewiring, represent the same underlying transformation. In…

Category Theory · Mathematics 2025-11-18 Shih-Yu Chang

Probabilistic transition system specifications using the rule format ntmuft-ntmuxt provide structural operational semantics for Segala-type systems and guarantee that probabilistic bisimilarity is a congruence. Probabilistic bisimilarity is…

Logic in Computer Science · Computer Science 2013-07-30 Daniel Gebler , Simone Tini

Reversible computations constitute an unconventional form of computing where any sequence of performed operations can be undone by executing in reverse order at any point during a computation. It has been attracting increasing attention as…

Computation and Language · Computer Science 2023-06-22 Kamila Barylska , Anna Gogolińska

In this report we focus on some aspects related to modeling and formal verification of embedded systems. Many models have been proposed to represent embedded systems. These models encompass a broad range of styles, characteristics, and…

Logic in Computer Science · Computer Science 2010-10-26 S. Bandyopadhyay , D. Sarkar , C. R. Mandal

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

Nowadays, with the emergence and the evolution of new technologies, such as e-business, a large number of companies are connected to Internet, and have proposed web services to trade. Web services as presented, are conceptually limited…

Software Engineering · Computer Science 2013-04-09 Sofiane Chemaa , Raida Elmansouri , Allaoua Chaoui