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In the early two-thousands, Recursive Petri nets have been introduced in order to model distributed planning of multi-agent systems for which counters and recursivity were necessary. Although Recursive Petri nets strictly extend Petri nets…

Logic in Computer Science · Computer Science 2023-06-22 Alain Finkel , Serge Haddad , Igor Khmelnitsky

The design of a complex system warrants a compositional methodology, i.e., composing simple components to obtain a larger system that exhibits their collective behavior in a meaningful way. We propose an automaton-based paradigm for…

Logic in Computer Science · Computer Science 2023-02-03 Tobias Kappé , Farhad Arbab , Carolyn Talcott

We study trace theoretic concurrent systems. This setting encompasses safe (1-bounded) Petri nets. We introduce a notion of irreducible concurrent system and we prove the equivalence between irreducibility and a "spectral property". The…

Combinatorics · Mathematics 2021-05-12 Samy Abbes , Jean Mairesse , Yi-Ting Chen

For language models to generalize correctly to novel expressions, it is critical that they exploit access compositional meanings when this is justified. Even if we don't know what a "pelp" is, we can use our knowledge of numbers to…

Computation and Language · Computer Science 2025-09-25 Zhijin Guo , Chenhao Xue , Zhaozhen Xu , Hongbo Bo , Yuxuan Ye , Janet B. Pierrehumbert , Martha Lewis

We propose a method for checking generalized reachability properties in Petri nets that takes advantage of structural reductions and that can be used, transparently, as a pre-processing step of existing model-checkers. Our approach is based…

Logic in Computer Science · Computer Science 2024-01-09 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

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

Network properties govern the rate and extent of various spreading processes, from simple contagions to complex cascades. Recently, the analysis of spreading processes has been extended from static networks to temporal networks, where nodes…

Physics and Society · Physics 2019-12-18 Eun Lee , Scott Emmons , Ryan Gibson , James Moody , Peter J. Mucha

Composition is a powerful principle for systems biology, focused on the interfaces, interconnections, and orchestration of distributed processes to enable integrative multiscale simulations. Whereas traditional models focus on the structure…

Other Quantitative Biology · Quantitative Biology 2024-11-25 Eran Agmon

Compositionality has traditionally been understood as a major factor in productivity of language and, more broadly, human cognition. Yet, recently, some research started to question its status, showing that artificial neural networks are…

Computation and Language · Computer Science 2022-06-13 Michal Auersperger , Pavel Pecina

We propose that systems exhibiting compositional patterning at the nanoscale, so far assumed to be due to some kind of ordered phase segregation, can be understood instead in terms of coherent, single phase ordering of minority motifs,…

Materials Science · Physics 2013-01-09 Santiago Gonzalez , J. M. Perez-Mato , Luis Elcoro , Alberto Garcia , Ray L. Withers , L. Bourgeois

Conceptual combination performs a fundamental role in creating the broad range of compound phrases utilized in everyday language. This article provides a novel probabilistic framework for assessing whether the semantics of conceptual…

Computation and Language · Computer Science 2014-11-24 Peter D. Bruza , Kirsty Kitto , Brentyn J. Ramm , Laurianne Sitbon

The contribution of this paper is threefold: first, it defines a framework for modelling component-based systems, as well as a formalization of integration rules to combine their behavior. This is based on finite state machines (FSM).…

Software Engineering · Computer Science 2014-06-12 Bilal Kanso , Omar Chebaro

The abstraction of musical structures (notes, melodies, chords, harmonic or rhythmic progressions, etc.) as mathematical objects in a geometrical space is one of the great accomplishments of contemporary music theory. Building on this…

Sound · Computer Science 2019-05-07 Marco Buongiorno Nardelli

We investigate the ability of language models to perform compositional reasoning tasks where the overall solution depends on correctly composing the answers to sub-problems. We measure how often models can correctly answer all sub-problems…

Computation and Language · Computer Science 2023-10-19 Ofir Press , Muru Zhang , Sewon Min , Ludwig Schmidt , Noah A. Smith , Mike Lewis

This paper proposes a simple test for compositionality (i.e., literal usage) of a word or phrase in a context-specific way. The test is computationally simple, relying on no external resources and only uses a set of trained word vectors.…

Computation and Language · Computer Science 2016-11-30 Hongyu Gong , Suma Bhat , Pramod Viswanath

We study the performance of general dynamic matching models. This model is defined by a connected graph, where nodes represent the class of items and the edges the compatibilities between items. Items of different classes arrive one by one…

Computer Science and Game Theory · Computer Science 2020-09-22 Arnaud Cadas , Josu Doncel , Jean-Michel Fourneau , Ana Bušić

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

Alignments provide sophisticated diagnostics that pinpoint deviations in a trace with respect to a process model and their severity. However, approaches based on trace alignments use crisp process models as reference and recent…

Databases · Computer Science 2021-07-09 Giacomo Bergami , Fabrizio Maria Maggi , Marco Montali , Rafael Peñaloza

Two of the most studied extensions of trace and testing equivalences to nondeterministic and probabilistic processes induce distinctions that have been questioned and lack properties that are desirable. Probabilistic trace-distribution…

Logic in Computer Science · Computer Science 2015-07-01 Marco Bernardo , Rocco De Nicola , Michele Loreti

Process Mining offers a powerful framework for uncovering, analyzing, and optimizing real-world business processes. Petri nets provide a versatile means of modeling process behavior. However, traditional methods often struggle to…

Artificial Intelligence · Computer Science 2024-08-01 Juan G. Colonna , Ahmed A. Fares , Márcio Duarte , Ricardo Sousa
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