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Revisiting exact combinational circuit synthesis

Published: 16 March 2008 Publication History

Abstract

The paper revisits exact combinational circuit synthesis with logic programming tools. Our focus is finding a minimal cost circuit that matches a specification - a notoriously hard nondeterministic search problem. After an exhaustive expressiveness comparison of various minimal libraries, two asymmetrical operations, Logical Implication "⇒" and Strict Boolean Inequality "<" turn out to consistently outperform their more popular symmetrical couterparts NAND and NOR, while having comparably small transistor count implementations. The code of the synthetizer and various libraries is available at http://logic.csci.unt.edu/tarau/research/2007/Isyn.zip.

References

[1]
Donald Knuth. The Art of Computer Programming, Volume 4, draft, 2006. http://www-cs-faculty.stanford.edu/~/knuth/taocp.html.
[2]
A. Mishchenko and R. Brayton. A boolean paradigm for multivaled logic synthesis. In Proc. IgVLS '02, June, 2002, pp. 173--177., 2002. citeseer.ist.psu.edu/aricle/mishchenko02boolean.html.
[3]
M. Riedel. Cyclic Combinational Circuits. In Ph.D. Dissertation, Caltech., 2004. citeseer.ist.psu.edu/riede104cyclic.html.
[4]
Paul Tarau and Brenda Luderman. A Logic Progrmming Framework for Combinational Circuit Synthesis. In 23rd International Conference on Logic Programming (ICLP), LNCS 4670, pages 180--194, Porto, Portugal, September 2007. Springer.

Cited By

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  • (2008)Exact combinational logic synthesis and non-standard circuit designProceedings of the 5th conference on Computing frontiers10.1145/1366230.1366263(179-188)Online publication date: 5-May-2008

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cover image ACM Conferences
SAC '08: Proceedings of the 2008 ACM symposium on Applied computing
March 2008
2586 pages
ISBN:9781595937537
DOI:10.1145/1363686
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 16 March 2008

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Author Tags

  1. exact combinational circuit synthesis
  2. logic programming and circuit design
  3. minimal transistor-count circuit synthesis

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SAC '08
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SAC '08: The 2008 ACM Symposium on Applied Computing
March 16 - 20, 2008
Fortaleza, Ceara, Brazil

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Overall Acceptance Rate 1,650 of 6,669 submissions, 25%

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Cited By

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  • (2008)Exact combinational logic synthesis and non-standard circuit designProceedings of the 5th conference on Computing frontiers10.1145/1366230.1366263(179-188)Online publication date: 5-May-2008

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