Functions Definable by Numerical Set-Expressions

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Auteurs principaux:	Pratt-Hartmann, Ian, Düntsch, Ivo
Format:	Preprint
Publié:	2009
Sujets:	Logic in Computer Science F.1.1
Accès en ligne:	Acceder al recurso
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author	Pratt-Hartmann, Ian Düntsch, Ivo
author_facet	Pratt-Hartmann, Ian Düntsch, Ivo
contents	A "numerical set-expression" is a term specifying a cascade of arithmetic and logical operations to be performed on sets of non-negative integers. If these operations are confined to the usual Boolean operations together with the result of lifting addition to the level of sets, we speak of "additive circuits". If they are confined to the usual Boolean operations together with the result of lifting addition and multiplication to the level of sets, we speak of "arithmetic circuits". In this paper, we investigate the definability of sets and functions by means of additive and arithmetic circuits, occasionally augmented with additional operations.
format	Preprint
id	arxiv_https___arxiv_org_abs_0911_0105
institution	arXiv
publishDate	2009
record_format	arxiv
spellingShingle	Functions Definable by Numerical Set-Expressions Pratt-Hartmann, Ian Düntsch, Ivo Logic in Computer Science F.1.1 A "numerical set-expression" is a term specifying a cascade of arithmetic and logical operations to be performed on sets of non-negative integers. If these operations are confined to the usual Boolean operations together with the result of lifting addition to the level of sets, we speak of "additive circuits". If they are confined to the usual Boolean operations together with the result of lifting addition and multiplication to the level of sets, we speak of "arithmetic circuits". In this paper, we investigate the definability of sets and functions by means of additive and arithmetic circuits, occasionally augmented with additional operations.
title	Functions Definable by Numerical Set-Expressions
topic	Logic in Computer Science F.1.1
url	https://arxiv.org/abs/0911.0105

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