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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

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

In this paper, we study the phenomenon that instruction sequences are split into fragments which somehow produce a joint behaviour. In order to bring this phenomenon better into the picture, we formalize a simple mechanism by which several…

Programming Languages · Computer Science 2012-11-20 J. A. Bergstra , C. A. Middelburg

Multi-threading allows agents to pursue a heterogeneous collection of tasks in an orderly manner. The view of multi-threading that emerges from thread algebra is applied to the case where a single agent, who may be human, maintains a…

Other Computer Science · Computer Science 2014-12-12 Jan A. Bergstra

We add probabilistic features to basic thread algebra and its extensions with thread-service interaction and strategic interleaving. Here, threads represent the behaviours produced by instruction sequences under execution and services…

Logic in Computer Science · Computer Science 2016-02-05 J. A. Bergstra , C. A. Middelburg

This paper presents an algebraic theory of instruction sequences with instructions for Turing tapes as basic instructions, the behaviours produced by the instruction sequences concerned under execution, and the interaction between such…

Programming Languages · Computer Science 2020-01-06 J. A. Bergstra , C. A. Middelburg

Single-pass instruction sequences under execution are considered to produce behaviours to be controlled by some execution environment. Threads as considered in thread algebra model such behaviours: upon each action performed by a thread, a…

Programming Languages · Computer Science 2008-11-18 J. A. Bergstra , C. A. Middelburg

This paper presents an algebraic theory of instruction sequences with instructions for a random access machine (RAM) as basic instructions, the behaviours produced by the instruction sequences concerned under execution, and the interaction…

Programming Languages · Computer Science 2023-01-26 C. A. Middelburg

Multi-threaded programs are expected to improve responsiveness and conserve resources by dividing an application process into multiple threads for concurrent processing. However, due to scheduling and the interaction of multiple threads,…

Software Engineering · Computer Science 2024-09-26 Takumi Murata , Hiroaki Hashiura

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

In this paper, we show how thread partitioning helps in proving properties of mobile systems. Thread partitioning consists in gathering the threads of a mobile system into several classes. The partitioning criterion is left as a parameter…

Other Computer Science · Computer Science 2008-02-04 Jérôme Feret

Earlier work on program and thread algebra detailed the functional, observable behavior of programs under execution. In this article we add the modeling of unobservable, mechanistic processing, in particular processing due to jump…

Programming Languages · Computer Science 2008-09-29 Jan A. Bergstra , Mark B. van der Zwaag

We study several aspects of the behaviours produced by instruction sequences under execution in the setting of the algebraic theory of processes known as ACP. We use ACP to describe the behaviours produced by instruction sequences under…

Programming Languages · Computer Science 2012-12-05 J. A. Bergstra , C. A. Middelburg

A program is a finite piece of data that produces a (possibly infinite) sequence of primitive instructions. From scratch we develop a linear notation for sequential, imperative programs, using a familiar class of primitive instructions and…

Programming Languages · Computer Science 2013-04-17 Jan A. Bergstra , Alban Ponse

Coded computing is a distributed paradigm that uses coding theory to introduce \textit{redundancy} and overcome bottlenecks in large-scale systems. In the same vein, randomized numerical linear algebra employs probabilistic methods to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Neophytos Charalambides , Arya Mazumdar

Multi-threaded programs have many applications which are widely used such as operating systems. Analyzing multi-threaded programs differs from sequential ones; the main feature is that many threads execute at the same time. The effect of…

Software Engineering · Computer Science 2011-11-04 Mohamed A. El-Zawawy , Hamada A. Nayel

We present a form of algebraic reasoning for computational objects which are expressed as graphs. Edges describe the flow of data between primitive operations which are represented by vertices. These graphs have an interface made of…

Logic in Computer Science · Computer Science 2010-07-23 Lucas Dixon , Ross Duncan , Aleks Kissinger

Asynchronous executions of a distributed algorithm differ from each other due to the nondeterminism in the order in which the messages exchanged are handled. In many situations of interest, the asynchronous executions induced by restricting…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-11 Ricardo C. Correa , Valmir C. Barbosa

Inspired by artistic practices such as beadwork and himmeli, we study the problem of threading a single string through a set of tubes, so that pulling the string forms a desired graph. More precisely, given a connected graph (where edges…

Data Structures and Algorithms · Computer Science 2024-05-29 Erik D. Demaine , Yael Kirkpatrick , Rebecca Lin

Any function can be constructed using a hierarchy of simpler functions through compositions. Such a hierarchy can be characterized by a binary rooted tree. Each node of this tree is associated with a function which takes as inputs two…

Machine Learning · Computer Science 2019-10-23 Roozbeh Farhoodi , Khashayar Filom , Ilenna Simone Jones , Konrad Paul Kording
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