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oaioai:pure.atira.dk:publications/3d32a475-9531-4714-b330-efa61218440c

Complex algebras of arithmetic

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Publication date
1 January 2009
Publisher
Doi

    Abstract

    An arithmetic circuit is a labeled, acyclic directed graph specifying a sequence of arithmetic and logical operations to be performed on sets of natural numbers. Arithmetic circuits can also be viewed as the elements of the smallest subalgebra of the complex algebra of the semiring of natural numbers. In the present paper we investigate the algebraic structure of complex algebras of natural numbers and make some observations regarding the complexity of various theories of such algebras

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    Last time updated on 01/02/2017

    This paper was published in The University of Manchester - Institutional Repository.

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