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University of Illinois at Urbana-Champaign

Algebraic Derivation of Minimal Sums for Functions of a Large Number of Variables

Abstract

dc:description

Two new algebraic branch and bound methods for the design of Programmable Logic Arrays are presented in this thesis. These produce a minimal sum for a wide range of functions for which conventional methods fail. Programs developed based on these computationally efficient procedures have successfully minimized many functions of up to 30 variables and usually found near-minimal sums when computation was terminated prematurely.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Computer Science
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Cutler, Robert Brian

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(UMI)AAI8026475
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/66438

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Cutler, Robert Brian. Algebraic Derivation of Minimal Sums for Functions of a Large Number of Variables. Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/66438