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Programs over Finite Semigroups: An Introduction

In: Lattices, Semigroups, and Universal Algebra

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  • Gerard Lallement

    (The Pennsylvania State University, Department of Mathematics)

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.

Suggested Citation

  • Gerard Lallement, 1990. "Programs over Finite Semigroups: An Introduction," Springer Books, in: Jorge Almeida & Gabriela Bordalo & Philip Dwinger (ed.), Lattices, Semigroups, and Universal Algebra, pages 163-172, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-2608-1_18
    DOI: 10.1007/978-1-4899-2608-1_18
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