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Related papers: Meadow enriched ACP process algebras

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We introduce the notion of an ACP process algebra and the notion of a meadow enriched ACP process algebra. The former notion originates from the models of the axiom system ACP. The latter notion is a simple generalization of the former…

Logic in Computer Science · Computer Science 2013-08-07 J. A. Bergstra , C. A. Middelburg

This paper introduces an imperative process algebra based on ACP (Algebra of Communicating Processes). Like other imperative process algebras, this process algebra deals with processes of the kind that arises from the execution of…

Logic in Computer Science · Computer Science 2022-07-08 C. A. Middelburg

Studies of issues related to computability and computational complexity involve the use of a model of computation. Pivotal to such a model are the computational processes considered. Processes of this kind can be described using an…

Logic in Computer Science · Computer Science 2024-06-24 C. A. Middelburg

Using formal tools in computer science to describe games is an interesting problem. We give games, exactly two person games, an axiomatic foundation based on the process algebra ACP (Algebra of Communicating Process). A fresh operator…

Logic in Computer Science · Computer Science 2019-05-09 Yong Wang

This paper concerns the relation between process algebra and Hoare logic. We investigate the question whether and how a Hoare logic can be used for reasoning about how data change in the course of a process when reasoning equationally about…

Logic in Computer Science · Computer Science 2021-05-18 J. A. Bergstra , C. A. Middelburg

A common meadow is an enrichment of a field with a partial division operation that is made total by assuming that division by zero takes the a default value, a special element $\bot$ adjoined to the field. To a common meadow of real numbers…

Information Theory · Computer Science 2025-02-12 Jan A Bergstra , John V Tucker

In process algebras such as ACP (Algebra of Communicating Processes), parallel processes are considered to be interleaved in an arbitrary way. In the case of multi-threading as found in contemporary programming languages, parallel processes…

Logic in Computer Science · Computer Science 2020-04-22 J. A. Bergstra , C. A. Middelburg

We have unified quantum and classical computing in open quantum systems called qACP which is a quantum generalization of process algebra ACP. But, an axiomatization for quantum and classical processes with an assumption of closed quantum…

Logic in Computer Science · Computer Science 2016-10-11 Yong Wang

In this paper we introduced an algebraic semantics for process algebra in form of abstract data types. For that purpose, we developed a particular type of algebra, the seed algebra, which describes exactly the behavior of a process within a…

Programming Languages · Computer Science 2010-01-08 Ruqian Lu , Lixing Li , Yun Shang , Xiaoyu Li

In a previous paper, a process algebra based on ACP (Algebra of Communicating Processes) was proposed in which processes involving data can be handled by means of features originating from imperative programming. In this paper, an extension…

Logic in Computer Science · Computer Science 2026-05-19 C. A. Middelburg

We establish an axiomatization for quantum processes, which is a quantum generalization of process algebra ACP (Algebra of Communicating Processes). We use the framework of a quantum process configuration $\langle p, \varrho\rangle$, but we…

Logic in Computer Science · Computer Science 2013-11-14 Yong Wang

The rational, real and complex numbers with their standard operations, including division, are partial algebras specified by the axiomatic concept of a field. Since the class of fields cannot be defined by equations, the theory of…

Rings and Algebras · Mathematics 2009-01-08 J. A. Bergstra , Y. Hirshfeld , J. V. Tucker

Threads as considered in basic thread algebra are primarily looked upon as behaviours exhibited by sequential programs on execution. It is a fact of life that sequential programs are often fragmented. Consequently, fragmented program…

Logic in Computer Science · Computer Science 2011-06-17 J. A. Bergstra , C. A. Middelburg

The AHP/ANP are multicriteria decision-making theories that deal with both hierarchic structures when the criteria are independent of the alternatives and with networks when there is any dependence within and between elements of the…

Discrete Mathematics · Computer Science 2016-06-23 Thomas Saaty , Konrad Kułakowski

We present a process algebra aimed at describing interactions that are multiparty, i.e. that may involve more than two processes and that are open, i.e. the number of the processes they involve is not fixed or known a priori. Here we focus…

Formal Languages and Automata Theory · Computer Science 2019-01-23 Chiara Bodei , Linda Brodo , Roberto Bruni

We introduce a process algebra that concerns the timed behaviour of distributed systems with a known spatial distribution. This process algebra provides a communication mechanism that deals with the fact that a datum sent at one point in…

Logic in Computer Science · Computer Science 2025-02-25 J. A. Bergstra , C. A. Middelburg

We analyse abstract data types that model numerical structures with a concept of error. Specifically, we focus on arithmetic data types that contain an error value $\bot$ whose main purpose is to always return a value for division. To rings…

Logic in Computer Science · Computer Science 2024-05-28 Jan A Bergstra , John V Tucker

This paper lists some new directions for research related to the Algebra of Communicating Processes (ACP). Most of these directions have been inspired by work on SubScript, an ACP based extension to the programming language Scala. SubScript…

Logic in Computer Science · Computer Science 2015-07-08 Andre van Delft

This paper concerns the relation between imperative process algebra and rely/guarantee logic. An imperative process algebra is complemented by a rely/guarantee logic that can be used to reason about how data change in the course of a…

Logic in Computer Science · Computer Science 2025-09-23 C. A. Middelburg

We first present a probabilistic version of ACP that rests on the principle that probabilistic choices are always resolved before choices involved in alternative composition and parallel composition are resolved and then extend this…

Logic in Computer Science · Computer Science 2020-12-23 C. A. Middelburg
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