Computing in cause-effect structures

by Czaja, Ludwik

Type Book

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This book focuses on numerous examples of tasks represented by c-e structure.

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Title Statements

Full title :Computing in cause-effect structures / Ludwik Czaja.

Summary

This book focuses on numerous examples of tasks represented by c-e structure.

Edition Statements

Publication Date:©2022

Publication Statements

Publisher(s):Springer
Place of Publication:Cham
Language:eng
Publication Date:©2022

The Physical Object

Description:1 online resource (180 pages) : : illustrations (some color)

Edition Identifiers

ISBN:9783030888138, 3030888134
DOI:10.1007/978-3-030-88813-8
oclc:on1287138239
LC Classification:QA76.9.M35
Dewey Decimal:004.01/51

Intro -- Preface -- References -- Acknowledgements -- Contents -- About the Author -- 1 About Content of the Book -- References -- 2 Basic Concepts of Cause-Effect Structures -- 2.1 A Set-Theoretic Model of Axioms of the Quasi-semiring of Formal Polynomials -- 2.2 Selected Structural Properties -- 2.3 Selected Semantic Properties and Remarks -- 2.4 Drawing Conventions -- 2.5 Example of Constructing C-E Structure -- References -- 3 Computing with Natural Numbers -- 3.1 The Addition (Iterated Adding of Unity) -- 3.2 The Restricted Subtraction (Iterated Subtracting of Unity) -- 3.3 The Multiplication (Iterated Adding a Number to Itself) -- 3.4 The Division with Neglected Remainder ... -- 3.5 The Remainder -- 3.6 The Division with Remainder -- 3.7 The Exponentiation (Iterated Multiplication of a Number by Itself) -- 3.8 The Factorial (Iterated Multiplication with Successively Decreased Argument) -- 3.9 Summation of a Sequence of Numbers -- 3.10 Inner Product of Two Vectors, Sequential Computation -- 3.11 Inner Product of Two Vectors, Parallel Computation -- 3.12 Greatest Common Divisor -- 3.13 Lowest Common Multiple -- 3.14 The ``3k + 1'' Problem -- 3.15 Comparing Numbers: ``if Greate…