Width-3 Permutation Branching Programs

We consider a restricted class of width-3 branching programs where each column of nodes depends on a single variable, and the 0-edges and the 1-edges out of each column form a permutation. In this model, parity and the mod-3 function are easy to calculate, but the and-function is hard. We show that...

Full description

Bibliographic Details
Main Author: Barrington, David A.
Published: 2023
Online Access:https://hdl.handle.net/1721.1/149102