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We propose a hybrid process calculus for modelling and reasoning on cyber-physical systems (CPS{s}). The dynamics of the calculus is expressed in terms of a labelled transition system in the SOS style of Plotkin. This is used to define a…

Logic in Computer Science · Computer Science 2018-07-10 Ruggero Lanotte , Massimo Merro

We present a general model allowing static analysis based on abstract interpretation for systems of communicating processes. Our technique, inspired by Regular Model Checking, represents set of program states as lattice automata and…

Software Engineering · Computer Science 2016-11-29 Vincent Botbol , Emmanuel Chailloux , Tristan Le Gall

Abstraction is a commonly used process to represent some low-level system by a more coarse specification with the goal to omit unnecessary details while preserving important aspects. While recent work on abstraction in the situation…

Artificial Intelligence · Computer Science 2023-03-02 Till Hofmann , Vaishak Belle

Hybrid Communicating Sequential Processes (HCSP) is a powerful formal modeling language for hybrid systems, which is an extension of CSP by introducing differential equations for modeling continuous evolution and interrupts for modeling…

Logic in Computer Science · Computer Science 2016-09-09 Gaogao Yan , Li Jiao , Yangjia Li , Shuling Wang , Naijun Zhan

The actor network procedures of Pavlovic and Meadows are a recent graphical formalism developed for describing security ceremonies and for reasoning about their security properties. The present work studies the relations of the actor…

Cryptography and Security · Computer Science 2014-04-09 Cristian Prisacariu

Stochastic (Markovian) process algebra extend classical process algebra with probabilistic exponentially distributed time durations denoted by rates (the parameter of the exponential distribution). Defining a semantics for such an algebra,…

Logic in Computer Science · Computer Science 2015-12-23 Mario Bravetti

Fuzzy set theory opens new vistas in computability theory and here I show this by defining a new computational metaphor--the fuzzy chemical metaphor. This metaphor is an extension of the chemical metaphor. In particular, I introduce the…

Formal Languages and Automata Theory · Computer Science 2009-03-23 Apostolos Syropoulos

We present a type system to guarantee termination of pi-calculus processes that exploits input/output capabilities and subtyping, as originally introduced by Pierce and Sangiorgi, in order to analyse the usage of channels. We show that our…

Logic in Computer Science · Computer Science 2011-08-29 Ioana Cristescu , Daniel Hirschkoff

The ZX-calculus is a graphical language for reasoning about quantum computing and quantum information theory. As a complete graphical language, it incorporates a set of axioms rich enough to derive any equation of the underlying formalism.…

Quantum Physics · Physics 2025-08-21 Boldizsár Poór , Razin A. Shaikh , Quanlong Wang

Extending the lambda-calculus with a construct for sharing, such as let expressions, enables a special representation of terms: iterated applications are decomposed by introducing sharing points in between any two of them, reducing to the…

Logic in Computer Science · Computer Science 2019-07-16 Beniamino Accattoli , Andrea Condoluci , Giulio Guerrieri , Claudio Sacerdoti Coen

We establish a tight connection between two models of the $\lambda$-calculus, namely Milner's encoding into the $\pi$-calculus (precisely, the Internal $\pi$-calculus), and operational game semantics (OGS). We first investigate the…

Logic in Computer Science · Computer Science 2026-05-06 Guilhem Jaber , Davide Sangiorgi

Compensating CSP (cCSP) is a language defined to model long running business transactions within the framework of standard CSP process algebra. In earlier work, we have defined both traces and operational semantics of the language. We have…

Logic in Computer Science · Computer Science 2010-01-21 Shamim H. Ripon , Michael Butler

We extend the signal flow calculus---a compositional account of the classical signal flow graph model of computation---to encompass affine behaviour, and furnish it with a novel operational semantics. The increased expressive power allows…

Logic in Computer Science · Computer Science 2020-02-21 Filippo Bonchi , Robin Piedeleu , Pawel Sobocinski , Fabio Zanasi

We propose an extension of the asynchronous pi-calculus with a notion of random choice. We define an operational semantics which distinguishes between probabilistic choice, made internally by the process, and nondeterministic choice, made…

Programming Languages · Computer Science 2007-05-23 Oltea Mihaela Herescu , Catuscia Palamidessi

Several abstract machines that operate on symbolic input alphabets have been proposed in the last decade, for example, symbolic automata or lattice automata. Applications of these types of automata include software security analysis and…

Formal Languages and Automata Theory · Computer Science 2019-10-18 Andreas Stahlbauer

Usually, probabilistic automata and probabilistic grammars have crisp symbols as inputs, which can be viewed as the formal models of computing with values. In this paper, we first introduce probabilistic automata and probabilistic grammars…

Artificial Intelligence · Computer Science 2007-05-23 Yongzhi Cao , Lirong Xia , Mingsheng Ying

Type systems as a way to control or analyze programs have been largely studied in the context of functional programming languages. Some of those work allow to extract from a typing derivation for a program a complexity bound on this…

Logic in Computer Science · Computer Science 2019-10-08 Patrick Baillot , Alexis Ghyselen

ZX-calculus is a graphical language for quantum computing which is complete in the sense that calculation in matrices can be done in a purely diagrammatic way. However, all previous universally complete axiomatisations of ZX-calculus have…

Quantum Physics · Physics 2021-09-07 Quanlong Wang

This paper is a contribution to the search for efficient and high-level mathematical tools to specify and reason about (abstract) programming languages or calculi. Generalising the reduction monads of Ahrens et al., we introduce transition…

Programming Languages · Computer Science 2023-06-22 André Hirschowitz , Tom Hirschowitz , Ambroise Lafont

To refine formal methods for concurrent systems, there are several ways of enriching classical operational semantics of process calculi. One can enable the auditing and undoing of past synchronisations thanks to communication keys, thus…

Logic in Computer Science · Computer Science 2024-10-22 Clément Aubert , Iain Phillips , Irek Ulidowski