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We augment LP with a strong conditional operator, to yield a logic we call "strong LP," or LP=>. The resulting logic can speak of consistency in more discriminating ways, but introduces new possibilities for trivializing paradoxes.

Logic · Mathematics 2013-04-25 Nick Thomas

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

In most presentations of ACP with guarded recursion, recursive specifications are finite or infinite sets of recursion equations of which the right-hand sides are guarded terms. The completeness with respect to bisimulation equivalence of…

Logic in Computer Science · Computer Science 2020-05-05 R. J. van Glabbeek , C. A. Middelburg

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 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

Process algebra ACP based on the interleaving semantics can not be reversed. We design a reversible version of APTC called RAPTC. It has algebraic laws of reversible choice, sequence, parallelism, communication, silent step and abstraction,…

Logic in Computer Science · Computer Science 2018-05-03 Yong Wang

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

This paper extends a standard process algebra with a time-out operator, thereby increasing its absolute expressiveness, while remaining within the realm of untimed process algebra, in the sense that the progress of time is not quantified.…

Logic in Computer Science · Computer Science 2023-06-22 Rob van Glabbeek

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 discuss the deal of imperfectness of atomic actions in reality with the background of process algebras. And we show the applications of the imperfect actions in verification of computational systems.

Logic in Computer Science · Computer Science 2023-06-14 Yong Wang

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

A one-step analysis of Anderson acceleration with general algorithmic depths is presented. The resulting residual bounds within both contractive and noncontractive settings reveal the balance between the contributions from the higher and…

Numerical Analysis · Mathematics 2022-09-08 Sara Pollock , Leo Rebholz

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

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

In a previous paper, an ACP-style process algebra was proposed in which propositions are used as the visible part of the state of processes and as state conditions under which processes may proceed. This process algebra, called ACPps, is…

Logic in Computer Science · Computer Science 2017-06-19 J. A. Bergstra , C. A. Middelburg

Continued fractions have been introduced in the field of $p$--adic numbers $\mathbb{Q}_p$ by several authors. However, a standard definition is still missing since all the proposed algorithms are not able to replicate all the properties of…

Number Theory · Mathematics 2022-02-21 Nadir Murru , Giuliano Romeo , Giordano Santilli

In the case of multi-threading as found in contemporary programming languages, parallel processes are interleaved according to what is known as a process-scheduling policy in the field of operating systems. In a previous paper, we extend…

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

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-04-17 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

We consider stationary autoregressive processes with coefficients restricted to an ellipsoid, which includes autoregressive processes with absolutely summable coefficients. We provide consistency results under different norms for the…

Machine Learning · Statistics 2017-06-09 Alessio Sancetta

This paper introduces the counterpart of strong bisimilarity for labelled transition systems extended with time-out transitions. It supports this concept through a modal characterisation, congruence results for a standard process algebra…

Logic in Computer Science · Computer Science 2023-01-25 Rob van Glabbeek
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