Bounded Width Branching Programs

We examine the branching program model of computation and in particular the classes of languages which can be recognized when the width of the programs is bounded by a constant. After slightly revising the framework of definitions to sharpen analogies with other models, we prove that width 5 polyno...

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Bibliographic Details
Main Author: Barrington, David A.
Other Authors: Sipser, Michael
Published: 2023
Online Access:https://hdl.handle.net/1721.1/149629
Description
Summary:We examine the branching program model of computation and in particular the classes of languages which can be recognized when the width of the programs is bounded by a constant. After slightly revising the framework of definitions to sharpen analogies with other models, we prove that width 5 polynomial size branching programs can recognize exactly the parallel complexity class NC1, refuting a conjecture of Borodin et al. in [BDFP83].