Modified Branching Programs and Their Computational Power

1. Front Matter

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2. Introduction

   Pages 1-6

3. Preliminaries

   Pages 7-10

4. Branching programs and their computational power

   Pages 11-24

5. Nondeterministic branching programs

   Pages 25-49

6. Ω=branching programs and theirs computational power

   Pages 50-126

7. Back Matter

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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.

• Boolean function
• Komplexitätsklassen
• Komplexitätstheorie
• Speicherbeschränkte Berechnung
• Verzweigungsprogramme
• Vollständigkeit
• complexity
• complexity theory
• algorithm analysis and problem complexity
• combinatorics

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