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This paper elaborates on a new approach of the question of the proof-theoretic study of concurrent interaction called "proofs as schedules". Observing that proof theory is well suited to the description of confluent systems while…

计算机科学中的逻辑 · 计算机科学 2014-09-16 Emmanuel Beffara

Petri Net is a formalism to describe changes between 2 or more states across discrete time and has been used to model many systems. We present PNet - a pure Python library for Petri Net modeling and simulation in Python programming…

数学软件 · 计算机科学 2023-02-24 Zhu En Chay , Bing Feng Goh , Maurice HT Ling

Psi-calculi are a parametric framework for nominal calculi, where standard calculi are found as instances, like the pi-calculus, or the cryptographic spi-calculus and applied-pi. Psi-calculi have an interleaving operational semantics, with…

计算机科学中的逻辑 · 计算机科学 2014-10-29 Håkon Normann , Cristian Prisacariu , Thomas Hildebrandt

We examine the problem of weaknesses in frameworks of conceptual modeling for handling certain aspects of the system being modeled. We propose the use of a flow-based modeling methodology at the conceptual level. Specifically, and without…

计算机与社会 · 计算机科学 2017-09-13 Sabah Al-Fedaghi , Abdulaziz AlQallaf

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…

计算机科学中的逻辑 · 计算机科学 2022-07-04 Edirlei Soares de Lima , Antonio L. Furtado , Bruno Feijó , Marco A. Casanova

Process discovery techniques return process models that are either formal (precisely describing the possible behaviors) or informal (merely a "picture" not allowing for any form of formal reasoning). Formal models are able to classify…

Complex networks in natural, social, and technological systems generically exhibit an abundance of rich information. Extracting meaningful structural features from data is one of the most challenging tasks in network theory. Many methods…

物理与社会 · 物理学 2012-06-04 Daniel Grady , Christian Thiemann , Dirk Brockmann

We present a unified framework for categorical systems theory which packages a collection of open systems, their interactions, and their maps into a symmetric monoidal loose right module of systems over a symmetric monoidal double category…

范畴论 · 数学 2025-05-30 Sophie Libkind , David Jaz Myers

We present a unifying framework for type systems for process calculi. The core of the system provides an accurate correspondence between essentially functional processes and linear logic proofs; fragments of this system correspond to…

计算机科学中的逻辑 · 计算机科学 2015-05-29 Emmanuel Beffara

We formulate a reduction theory that describes the response of an oscillator network as a whole to external forcing applied nonuniformly to its constituent oscillators. The phase description of multiple oscillator networks coupled weakly is…

适应与自组织系统 · 物理学 2010-10-26 Hiroshi Kori , Yoji Kawamura , Hiroya Nakao , Kensuke Arai , Yoshiki Kuramoto

The ability to understand and eventually predict the emergence of information and activation cascades in social networks is core to complex socio-technical systems research. However, the complexity of social interactions makes this a…

物理与社会 · 物理学 2015-06-16 Pablo Piedrahíta , Javier Borge-Holthoefer , Yamir Moreno , Alex Arenas

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…

人工智能 · 计算机科学 2024-08-01 Juan G. Colonna , Ahmed A. Fares , Márcio Duarte , Ricardo Sousa

Trophic coherence, a measure of the extent to which the nodes of a directed network are organised in levels, has recently been shown to be closely related to many structural and dynamical aspects of complex systems, including graph…

物理与社会 · 物理学 2016-07-22 Janis Klaise , Samuel Johnson

Localized perturbations in a real-world network have the potential to trigger cascade failures at the whole system level, hindering its operations and functions. Standard approaches analytically tackling this problem are mostly based either…

物理与社会 · 物理学 2022-04-19 Angelo Valente , Manlio De Domenico , Oriol Artime

Resilience is a system's ability to maintain its function when perturbations and errors occur. Whilst we understand low-dimensional networked systems' behavior well, our understanding of systems consisting of a large number of components is…

系统与控制 · 电气工程与系统科学 2021-09-08 Giannis Moutsinas , Mengbang Zou , Weisi Guo

A study of correlations in tractable multiparticle cascade models in terms of wavelets reveals many promising features. The selfsimilar construction of the wavelet basis functions and their multiscale localization properties provide a new…

高能物理 - 唯象学 · 物理学 2016-09-01 Martin Greiner , Jens Giesemann , Peter Lipa , Peter Carruthers

Competitive systems can exhibit both hierarchical (transitive) and cyclic (intransitive) structures. Despite theoretical interest in cyclic competition, which offers richer dynamics, and occupies a larger subset of the space of possible…

种群与进化 · 定量生物学 2022-05-18 Christopher Cebra , Alexander Strang

Complex systems made of interacting elements are commonly abstracted as networks, in which nodes are associated with dynamic state variables, whose evolution is driven by interactions mediated by the edges. Markov processes have been the…

物理与社会 · 物理学 2017-01-30 Vsevolod Salnikov , Michael T. Schaub , Renaud Lambiotte

Dynamical processes on complex networks, ranging from biological, technological and social systems, show phase transitions between distinct global states of the system. Often, such transitions rely upon the interplay between the structure…

物理与社会 · 物理学 2023-02-22 Hillel Sanhedrai , Shlomo Havlin

This paper defines and develops cycle indices for the finite classical groups. These tools are then applied to study properties of a random matrix chosen uniformly from one of these groups. Properties studied by this technique will include…

群论 · 数学 2007-05-23 Jason Fulman