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Author Bucciarelli, Antonio; Salvo, Ivano
Title Totality, Definability and Boolean Circuits Type Journal Article
Year 1998 Publication Abbreviated Journal
Volume 1443 Issue Pages 808-819
Keywords
Abstract In the type frame originating from the flat domain of boolean values, we single out elements which are hereditarily total. We show that these elements can be defined, up to total equivalence, by sequential programs. The elements of an equivalence class of the totality equivalence relation (totality class) can be seen as different algorithms for computing a given set-theoretic boolean function. We show that the bottom element of a totality class, which is sequential, corresponds to the most eager algorithm, and the top to the laziest one. Finally we suggest a link between size of totality classes and a well known measure of complexity of boolean functions, namely their sensitivity.
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Corporate Author Thesis
Publisher Springer Place of Publication Editor
Language (up) Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference
Notes Approved yes
Call Number Sapienza @ mari @ bucciarelli-salvo:98 Serial 70
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