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In this paper we propose an algebraic formalization of connectors in the quantitative setting, in order to address their non-functional features in architectures of component-based systems. We firstly present a weighted Algebra of…

Logic in Computer Science · Computer Science 2022-09-22 Christina Chrysovalanti Fountoukidou , Maria Pittou

Reo is an interaction-centric model of concurrency for compositional specification of communication and coordination protocols. Formal verification tools exist to ensure correctness and compliance of protocols specified in Reo, which can…

Programming Languages · Computer Science 2018-06-27 Kasper Dokter , Farhad Arbab

This paper develops a methodology for representing machine learning models as models of formal theories, grounded in the perspective that machine learning models are a form of database and that databases are models of theories in coherent…

Category Theory · Mathematics 2026-04-17 Matthew Pugh , Jo Grundy , Corina Cirstea , Nick Harris

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

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

Systematically discovering semantic relationships in text is an important and extensively studied area in Natural Language Processing, with various tasks such as entailment, semantic similarity, etc. Decomposability of sentence-level scores…

Computation and Language · Computer Science 2020-07-16 Subhadeep Maji , Rohan Kumar , Manish Bansal , Kalyani Roy , Pawan Goyal

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

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

We investigate classes of systems based on different interaction patterns with the aim of achieving distributability. As our system model we use Petri nets. In Petri nets, an inherent concept of simultaneity is built in, since when a…

Logic in Computer Science · Computer Science 2009-01-05 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke

Service-based systems are software systems composed of autonomous components or services provided by different vendors, deployed on remote machines and accessible through the web. One of the challenges of modern software engineering is to…

Software Engineering · Computer Science 2011-08-10 Natallia Kokash , Farhad Arbab , Behnaz Changizi , Leonid Makhnist

Automata-logic connections are pillars of the theory of regular languages. Such connections are harder to obtain for transducers, but important results have been obtained recently for word-to-word transformations, showing that the three…

Formal Languages and Automata Theory · Computer Science 2016-06-02 Luc Dartois , Emmanuel Filiot , Pierre-Alain Reynier , Jean-Marc Talbot

A new formalism of Petri nets, based on the adoption of the "position-arc-transition" triad and "transition-arc-position" triad as structure-forming units is introduced. In accordance with the Fusion principle, an analytical representation…

Logic in Computer Science · Computer Science 2019-10-22 Alexander Yu. Chunikhin

In our ongoing work, we use constraint automata to compile protocol specifications expressed as Reo connectors into efficient executable code, e.g., in C. We have by now studied this automata based compilation approach rather well, and have…

Programming Languages · Computer Science 2014-10-29 Sung-Shik T. Q. Jongmans , Farhad Arbab

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 2012-07-17 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke-Uffmann

The formalism of the models with Petri networks provides a sound theoretical base, supported by powerful mathematical methods able to extract information necessary for the formalism and simulation of the real system that provides features…

Other Computer Science · Computer Science 2009-03-26 Alexandra Emilia Fortis

Due to the mobility and frequent disconnections, the correctness of mobile interaction systems, such as mobile robot systems and mobile payment systems, are often difficult to analyze. This paper introduces three critical properties of…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Ru Yang , Zhijun Ding , Changjun Jiang , MengChu Zhou

For a large Markovian model, a "product form" is an explicit description of the steady-state behaviour which is otherwise generally untractable. Being first introduced in queueing networks, it has been adapted to Markovian Petri nets. Here…

Discrete Mathematics · Computer Science 2012-04-17 Serge Haddad , Jean Mairesse , Hoang-Thach Nguyen

Hierarchical Petri nets allow a more abstract view and reconfigurable Petri nets model dynamic structural adaptation. In this contribution we present the combination of reconfigurable Petri nets and hierarchical Petri nets yielding…

Discrete Mathematics · Computer Science 2018-02-14 Julia Padberg

In order to speed up the synthesis of Petri nets from labelled transition systems, a divide and conquer strategy consists in defining decompositions of labelled transition systems, such that each component is synthesisable iff so is the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers

We give a definition of $\mathsf{Q}$-net, a generalization of Petri nets based on a Lawvere theory $\mathsf{Q}$, for which many existing variants of Petri nets are a special case. This definition is functorial with respect to change in…

Category Theory · Mathematics 2020-11-25 Jade Master