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To study discrete dynamical systems of different types --- deterministic, statistical and quantum --- we develop various approaches. We introduce the concept of a system of discrete relations on an abstract simplicial complex and develop…

Mathematical Physics · Physics 2010-11-10 Vladimir V. Kornyak

Rewriting logic and its implementation Maude are an expressive framework for the formal specification and verification of software and other kinds of systems. Concurrency is naturally represented by nondeterministic local transformations…

Logic in Computer Science · Computer Science 2024-01-17 Rubén Rubio , Narciso Martí-Oliet , Isabel Pita , Alberto Verdejo

The purpose of a program analysis is to compute an abstract meaning for a program which approximates its dynamic behaviour. A compositional program analysis accomplishes this task with a divide-and-conquer strategy: the meaning of a program…

Programming Languages · Computer Science 2013-10-15 Azadeh Farzan , Zachary Kincaid

This paper explores the connection between semantic equivalences and preorders for concrete sequential processes, represented by means of labelled transition systems, and formats of transition system specifications using Plotkin's…

Logic in Computer Science · Computer Science 2007-05-23 B. Bloom , W. J. Fokkink , R. J. van Glabbeek

Approaching limitations of digital computing technologies have spurred research in neuromorphic and other unconventional approaches to computing. Here we argue that if we want to systematically engineer computing systems that are based on…

Emerging Technologies · Computer Science 2023-08-21 Herbert Jaeger , Beatriz Noheda , Wilfred G. van der Wiel

Undoing computations of a concurrent system is beneficial in many situations, e.g., in reversible debugging of multi-threaded programs and in recovery from errors due to optimistic execution in parallel discrete event simulation. A number…

Logic in Computer Science · Computer Science 2024-02-13 Ivan Lanese , Iain Phillips , Irek Ulidowski

With the increasing complexity of CPSs, their behavior and decisions become increasingly difficult to understand and comprehend for users and other stakeholders. Our vision is to build self-explainable systems that can, at run-time, answer…

We define a categorical notion of cybernetic system as a dynamical realisation of a generalized open game, along with a coherence condition. We show that this notion captures a wide class of cybernetic systems in computational neuroscience…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Toby St Clere Smithe

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components and assemble them so that they communicate and cooperate. Moreover, to model concurrent and…

Quantum Physics · Physics 2007-05-23 Marie Lalire , Philippe Jorrand

Context: Modern Systems of Systems (SoSs) increasingly operate in dynamic environments (e.g., smart cities, autonomous vehicles) where runtime composition -- the on-the-fly discovery, integration, and coordination of constituent systems…

Software Engineering · Computer Science 2025-10-15 Muhammad Ashfaq , Ahmed R. Sadik , Teerath Das , Muhammad Waseem , Niko Makitalo , Tommi Mikkonen

It has been increasingly recognized that effective human-AI co-creation requires more than prompts and results, but an environment with empowering structures that facilitate exploration, planning, iteration, as well as control and…

Human-Computer Interaction · Computer Science 2025-03-07 Yining Cao , Yiyi Huang , Anh Truong , Hijung Valentina Shin , Haijun Xia

This work presents a compositional approach for schedulability analysis of Distributed Integrated Modular Avionics (DIMA) systems that consist of spatially distributed ARINC-653 modules connected by a unified AFDX network. We model a DIMA…

Logic in Computer Science · Computer Science 2018-08-01 Pujie Han , Zhengjun Zhai , Brian Nielsen , Ulrik Nyman

We extend the notion of compositional associative rewriting as recently studied in the rule algebra framework literature to the setting of rewriting rules with conditions. Our methodology is category-theoretical in nature, where the…

Logic in Computer Science · Computer Science 2024-08-07 Nicolas Behr , Jean Krivine

Bisimulation metric is a robust behavioural semantics for probabilistic processes. Given any SOS specification of probabilistic processes, we provide a method to compute for each operator of the language its respective metric…

Programming Languages · Computer Science 2014-08-08 Daniel Gebler , Simone Tini

This paper is concerned with the detection, resilient and fault-tolerant control issues for cyber-physical systems. To this end, the impairment of system dynamics caused by the defined types of cyber-attacks and process faults is analyzed.…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Linlin Li , Steven X. Ding , Liutao Zhou , Maiying Zhong , Kaixiang Peng

We present an analytical model for describing complex dynamics of a hybrid system consisting of interacting classical and quantum resonant structures. Classical structures in our model correspond to plasmonic nano-resonators of different…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 A. Chipouline , V. A. Fedotov , A. E. Nikolaenko

Conditional term rewriting is an intuitive yet complex extension of term rewriting. In order to benefit from the simpler framework of unconditional rewriting, transformations have been defined to eliminate the conditions of conditional term…

Logic in Computer Science · Computer Science 2017-01-04 Karl Gmeiner

Minimizing finite automata, proving trace equivalence of labelled transition systems or representing sofic subshifts involve very similar arguments, which suggests the possibility of a unified formalism. We propose finite states…

Logic in Computer Science · Computer Science 2025-02-11 Titouan Carette , Marc de Visme , Vivien Ducros , Victor Lutfalla , Etienne Moutot

Tableaux originate as a decision method for a logical language. They can also be extended to obtain a structure that spells out all the information in a set of sentences in terms of truth value assignments to atomic formulas that appear in…

cmp-lg · Computer Science 2008-02-03 Pablo Gervas

Design-by-contract is an important technique for model-based design in which a composite system is specified by a collection of contracts that specify the behavioural assumptions and guarantees of each component. In this paper, we describe…

Logic in Computer Science · Computer Science 2020-07-30 Simon Foster , Ana Cavalcanti , Samuel Canham , Jim Woodcock , Frank Zeyda
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