k-approximating circuits

In this paper, we define and study the k-approximating circuits. A circuit accepting a given set of inputs A is k-approximated by accepting inputs that lifter from one of A by at most k bits. We show that the existence of polynomial-size k-approximating circuits depends on the relation between k and...

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Bibliographic Details
Published in:IEEE transactions on computers Vol. 55; no. 7; pp. 913 - 917
Main Authors: Cadoli, M., Donini, F.M., Liberatore, P., Schaerf, M.
Format: Journal Article
Language:English
Published: New York IEEE 01.07.2006
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Boolean functions
complexity measures and classes
Complexity theory
Directed graphs
models of computation
Reliability and testing
ISSN:0018-9340, 1557-9956
Online Access:Get full text
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Summary:In this paper, we define and study the k-approximating circuits. A circuit accepting a given set of inputs A is k-approximated by accepting inputs that lifter from one of A by at most k bits. We show that the existence of polynomial-size k-approximating circuits depends on the relation between k and the number of inputs.
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ISSN:0018-9340
1557-9956
DOI:10.1109/TC.2006.105