Paterson, Michael S. (1974) Complexity of monotone networks for Boolean matrix product. University of Warwick. Department of Computer Science. (Theory of Computation Report). (Unpublished)

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Abstract

Any computation of Boolean matrix product by an acyclic network
using only the operations of binary conjunction and disjunction
requires at least IJK conjunctions and IJ(K-1) disjunctions for the
product of matrices of sizes I x K and K x J. Furthermore any two
such networks having these minimum numbers of operations are equivalent
using only the commutativity of both operations and the associativity
of disjunction.

Item Type:	Report
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Computer Science
Library of Congress Subject Headings (LCSH):	Matrices
Series Name:	Theory of Computation Report
Publisher:	University of Warwick. Department of Computer Science
Official Date:	July 1974
Dates:	Date Event July 1974 ["eprint_fieldopt_dates_date_type_available" not defined]
Number:	Number 2
Number of Pages:	14
DOI:	CS-RR-002
Institution:	University of Warwick
Theses Department:	Department of Computer Science
Status:	Not Peer Reviewed
Publication Status:	Unpublished
Reuse Statement (publisher, data, author rights):	M.S.&nbsp;Paterson, &ldquo;Complexity of Monotone Networks for Boolean Matrix Product&rdquo;, <i>Theoretical Computer Science</i> <b>1</b>(1), pp.&nbsp;13-20 (1975)
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	1 August 2016
Date of first compliant Open Access:	1 August 2016
Version or Related Resource:	Paterson, M.S. (1975). Complexity of monotone networks for Boolean matrix product. Theoretical computer science, 1(1), pp.13-20.

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