Verfügbarkeit: Algebraic theory of automata networks

Algebraic theory of automata networks: an introduction

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Bibliographische Detailangaben
Beteilige Person:	Dömösi, Pál (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Philadelphia Society for Industrial and Applied Mathematics 2005
Schriftenreihe:	SIAM monographs on discrete mathematics and applications
Schlagwörter:	Algèbre abstraite Automates mathématiques, Théorie des Réseaux d'ordinateurs Semi-groupes aComputer networks aMachine theory aSemigroups aAlgebra, Abstract Algebraische Automatentheorie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013204560&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Includes bibliographical references and index
Umfang:	XII, 258 S.
ISBN:	0898715695

Internformat

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Datensatz im Suchindex

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adam_text	ALGEBRAIC THEORY OF AUTOMATA NETWORKS AN INTRODUCTION PAL DOMOSI UNIVERSITY OF DEBRECEN DEBRECEN, HUNGARY CHRYSTOPHER L. NEHANIV UNIVERSITY OF HERTFORDSHIRE HATFIELD, UNITED KINGDOM SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS PHILADELPHIA CONTENTS PREFACE AND OVERVIEW IX 1 PRELIMINARIES 1 1.1 BASIC NOTATION AND NOTIONS 1 1.2 SEMIGROUPS, MONOIDS, AND GROUPS 4 1.3 TRANSFORMATION SEMIGROUPS, DIVISION, AND WREATH PRODUCTS 8 1.4 BIBLIOGRAPHICAL REMARKS 21 2 DIRECTED GRAPHS, AUTOMATA, AND AUTOMATA NETWORKS 23 2.1 DIGRAPH COMPLETENESS 23 2.2 AUTOMATA AND AUTOMATON MAPPINGS 44 2.3 AUTOMATA AND SEMIGROUPS 50 2.4 AUTOMATA NETWORKS AND PRODUCTS OF AUTOMATA 58 2.5 BIBLIOGRAPHICAL REMARKS 71 3 KROHN-RHODES THEORY AND COMPLETE CLASSES 73 3.1 KROHN-RHODES AND HOLONOMY DECOMPOSITION THEOREMS 73 3.2 SOME RESULTS RELATED TO THE KROHN-RHODES DECOMPOSITION THEOREM . . 82 3.3 HOMOMORPHICALLY COMPLETE CLASSES UNDER THE QUASI-DIRECT PRODUCT. . . 101 3.4 HOMOMORPHICALLY COMPLETE CLASSES UNDER THE CASCADE PRODUCT 104 3.5 BIBLIOGRAPHICAL REMARKS 108 4 WITHOUT LETICHEVSKY S CRITERION 111 4.1 SEMI-LETICHEVSKY CRITERION ILL 4.2 WITHOUT ANY LETICHEVSKY CRITERIA 121 4.3 NETWORKS OF AUTOMATA WITHOUT ANY LETICHEVSKY CRITERIA 131 4.4 PRODUCT HIERARCHIES OF AUTOMATA 142 4.5 BIBLIOGRAPHICAL REMARKS 145 5 LETICHEVSKY S CRITERION 147 5.1 HOMOMORPHIC SIMULATION AND THE V 2 -PRODUCT 147 5.2 AUTOMATA WITH CONTROL WORDS 152 5.3 THE BEAUTY OF LETICHEVSKY S CRITERION 157 5.4 BIBLIOGRAPHICAL REMARKS 162 VII VIII CONTENTS 6 PRIMITIVE PRODUCTS AND TEMPORAL PRODUCTS 163 6.1 PRIMITIVE PRODUCTS 164 6.2 PRIMITIVE PRODUCTS AND LETICHEVSKY S CRITERION 166 6.3 HOMOMORPHIC COMPLETENESS UNDER THE PRIMITIVE PRODUCT 176 6.4 TEMPORAL PRODUCTS 183 6.5 BIBLIOGRAPHICAL REMARKS 197 7 FINITE STATE-HOMOGENEOUS AUTOMATA NETWORKS AND ASYNCHRONOUS AUTOMATA NETWORKS 199 7.1 STATE-HOMOGENEOUS NETWORKS AND SOME TECHNICAL LEMMAS 200 7.2 NETWORK COMPLETENESS FOR DIGRAPHS HAVING ALL LOOP EDGES 207 7.3 COMPLETE FINITE AUTOMATA NETWORK GRAPHS WITH MINIMAL NUMBER OF EDGES 211 7.4 COMPLETENESS AND COMPUTATION 216 7.5 ASYNCHRONOUS AUTOMATA NETWORKS 219 7.6 BIBLIOGRAPHICAL REMARKS 235 BIBLIOGRAPHY 237 INDEX 253
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indexdate	2024-12-20T12:07:51Z
institution	BVB
isbn	0898715695
language	English
lccn	2004057838
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physical	XII, 258 S.
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series2	SIAM monographs on discrete mathematics and applications
spellingShingle	Dömösi, Pál Algebraic theory of automata networks an introduction Algèbre abstraite Automates mathématiques, Théorie des Réseaux d'ordinateurs Semi-groupes aComputer networks aMachine theory aSemigroups aAlgebra, Abstract Algebraische Automatentheorie (DE-588)4141833-5 gnd
subject_GND	(DE-588)4141833-5
title	Algebraic theory of automata networks an introduction
title_auth	Algebraic theory of automata networks an introduction
title_exact_search	Algebraic theory of automata networks an introduction
title_full	Algebraic theory of automata networks an introduction Pál Dömösi ; Chrystopher L. Nehaniv
title_fullStr	Algebraic theory of automata networks an introduction Pál Dömösi ; Chrystopher L. Nehaniv
title_full_unstemmed	Algebraic theory of automata networks an introduction Pál Dömösi ; Chrystopher L. Nehaniv
title_short	Algebraic theory of automata networks
title_sort	algebraic theory of automata networks an introduction
title_sub	an introduction
topic	Algèbre abstraite Automates mathématiques, Théorie des Réseaux d'ordinateurs Semi-groupes aComputer networks aMachine theory aSemigroups aAlgebra, Abstract Algebraische Automatentheorie (DE-588)4141833-5 gnd
topic_facet	Algèbre abstraite Automates mathématiques, Théorie des Réseaux d'ordinateurs Semi-groupes aComputer networks aMachine theory aSemigroups aAlgebra, Abstract Algebraische Automatentheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013204560&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT domosipal algebraictheoryofautomatanetworksanintroduction AT nehanivchrystopherl algebraictheoryofautomatanetworksanintroduction

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