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Programs over Finite Semigroups: An Introduction

Gerard Lallement
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Gerard Lallement: The Pennsylvania State University, Department of Mathematics

A chapter in Lattices, Semigroups, and Universal Algebra, 1990, pp 163-172 from Springer

Abstract: Abstract The notion of a program over a finite semigroup has recently emerged from the work of D.A. Barrington on bounded-width branching programs [2], [3], and the joint work of D.A. Barrington and D. Thérien [4], [5]. These authors introduced programs over semigroups under the name of “non-uniform deterministic finite automata (NUDFA)”, and they studied the potential programs have in terms of recognizability of certain languages that are commonly treated in complexity theory by using families of Boolean circuits.

Keywords: Boolean Function; Semi Group; Finite Semigroup; Polynomial Size; Boolean Circuit (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-2608-1_18

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DOI: 10.1007/978-1-4899-2608-1_18

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