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Complexity of monotone networks for Boolean matrix product
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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 (Unpublished)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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of 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: |
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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Status: | Not Peer Reviewed | ||||
Publication Status: | Unpublished | ||||
Publisher Statement: | M.S. Paterson, “Complexity of Monotone Networks for Boolean Matrix Product”, <i>Theoretical Computer Science</i> <b>1</b>(1), pp. 13-20 (1975) | ||||
Access rights to Published version: | Open Access | ||||
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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