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Zur Strukturtheorie Sequentieller Automaten

Zur Strukturtheorie Sequentieller Automaten

          
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About the Book

1.1. Überblick über die in der Literatur benutzten abstrakten Modelle sequentieller Automaten 1955 Modelle abstrakter sequentieller Maschinen treten erstmalig bei MOORE [M 56.6] und MEALY [M 55.1] auf. Sie sind gekennzeichnet durch eine endliche Anzahl von Zuständen, Eingangs-Symbolen und Ausgangs- Symbolen. Das Modell von MOORE ist ein System von streng deterministischem Ver- halten, in dem der augenblickliche Zustand der Maschine nur von dem vorhergehenden Eingangs-Symbol und dem vorhergehenden Zustand, das augenblickliche Ausgangs-Symbol nur von dem augenblicklichen Zustand abhängt. Bei dem Modell von MEALY sind das augenblickliche Ausgangs- Symbol und der nächste Zustand eindeutig durch das augenblickliche Ein- gangs-Symbol und den augenblicklichen Zustand bestimmt. Die Darstellung dieser Beziehungen erfolgt durch Tabellen und Zustands- diagramme. 1957 Eine formalere Definition sequentieller Automaten findet man bei BURKS [B 57.1]. Eingangs-, Ausgangs-Symbole und Zustände werden auf natür- liche Zahlen abgebildet. Die Zeit wird durch die Menge aller natürlichen Zahlen erfaßt. Man hat Mengen von natürlichen Zahlen X, Y, S, deren funktioneller Zusammenhang gegeben ist durch S (t+1)=g [x (t), S (t)] Y (t)=J[x (t), S (t)], dem Modell von MEALY entsprechend. AUFENKAMP [A 57.2] wählt eine Darstellung mit Transitions-Matrizen (g entsprechend) und Ausgangs-Matrizen Cf entsprechend) bzw. mit qua- dratischen Verbindungs-Matrizen von Paaren (x, y) A XE X AYE Y über den Zuständen SES. 1958 Eine Erweiterung der funktionellen Beziehungen zwischen X, Yund Sauf 1959 Folgen von Eingangs-bzw. Ausgangs-Symbolen wird bei RANEY [R 58.7], GINSBURG [G 59.6] und SRINIVASAN-NARASIMHAN [S 59.12] vorgenommen.


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Product Details
  • ISBN-13: 9783322980090
  • Publisher: Vs Verlag Fur Sozialwissenschaften
  • Publisher Imprint: Vs Verlag Fur Sozialwissenschaften
  • Edition: 1964 ed.
  • Language: German
  • Returnable: N
  • Spine Width: 4 mm
  • Width: 170 mm
  • ISBN-10: 332298009X
  • Publisher Date: 01 Jan 1964
  • Binding: Paperback
  • Height: 244 mm
  • No of Pages: 77
  • Series Title: Forschungsberichte Des Landes Nordrhein-Westfalen
  • Weight: 145 gr


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