Modified Branching Programs and Their Computational Power

Christoph Meinel

ISBN 10: 354051340X / ISBN 13: 9783540513407

Verlag: Springer Berlin Heidelberg, 1989

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - Branching Programs are, besides Boolean circuits, the most important nonuniform model of computation. This volume gives a survey of the latest research in this field. It presents a branching program-based approach to complexity theory. Starting with a definition of branching programs and a review of the former research, nondeterministic branching programs are introduced and investigated, thus allowing the description of some fundamental complexity classes. The book then concentrates on the new concept of Omega-branching programs. Apart from the usual binary tests they contain features for evaluating certain elementary Boolean functions and are suited for characterizing space-bounded complexity classes. By means of these characterizations the author demonstrates the separation of some restricted complexity classes. In the appendix a number of extremely restricted graph-accessibility problems are given, which are, due to the branching program descriptions in chapters 1-3, p-projection complete in the classes under consideration.

Bestandsnummer des Verkäufers 9783540513407

Bibliografische Details

• Titel: Modified Branching Programs and Their Computational Power
• Verlag: Springer Berlin Heidelberg
• Erscheinungsjahr: 1989
• Sprache: Englisch
• ISBN-10: 354051340X
• ISBN-13: 9783540513407
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

Branching Programs are, besides Boolean circuits, the most important nonuniform model of computation. This volume gives a survey of the latest research in this field. It presents a branching program-based approach to complexity theory. Starting with a definition of branching programs and a review of the former research, nondeterministic branching programs are introduced and investigated, thus allowing the description of some fundamental complexity classes. The book then concentrates on the new concept of Omega-branching programs. Apart from the usual binary tests they contain features for evaluating certain elementary Boolean functions and are suited for characterizing space-bounded complexity classes. By means of these characterizations the author demonstrates the separation of some restricted complexity classes. In the appendix a number of extremely restricted graph-accessibility problems are given, which are, due to the branching program descriptions in chapters 1-3, p-projection complete in the classes under consideration.