An anytime algorithm for generalized symmetry detection in ROBDDs

Kettle, N. and King, A. (2008) An anytime algorithm for generalized symmetry detection in ROBDDs. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 27 (4). pp. 764-777. ISSN 0278-0070.

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http://dx.doi.org/10.1109/tcad.2008.917592

Abstract

Detecting symmetries have many applications in logic synthesis, which include, among other things, technology mapping, deciding equivalence of Boolean functions when the input correspondence is unknown, and finding support-reducing bound sets. Mishchenko showed how to efficiently detect symmetries in reduced ordered binary decision diagrams (ROBDDs) without the need for checking equivalence of all cofactor pairs. This work resulted in practical algorithms for detecting classic and generalized symmetries. Both the classical and generalized symmetry-detection algorithms are monolithic in the sense that they only return a meaningful answer when they are left to run to completion. In this paper, we present anytime algorithms for detecting both classical and generalized symmetries, which output pairs of symmetric variables until a prescribed time bound is exceeded. These anytime algorithms are complete in that, given sufficient time, they are guaranteed to find all symmetric pairs. Anytime generality is not gained at the expense of efficiency because this approach requires only very modest data-structure support and offers unique opportunities for optimization, so that the resulting algorithms are competitive with their monolithic counterparts.

Item Type: Article
Uncontrolled keywords: logic synthesis; reduced ordered binary decision diagrams (ROBDDs); symmetry
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 75 Electronic computers. Computer science
Divisions: Faculties > Science Technology and Medical Studies > School of Computing
Depositing User: Jane Griffiths
Date Deposited: 21 Apr 2009 14:35
Last Modified: 06 Sep 2011 01:50
Resource URI: http://kar.kent.ac.uk/id/eprint/15740 (The current URI for this page, for reference purposes)
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