In Boolean logic, a Reed–Muller (or Davio) expansion is a decomposition of a boolean function. For a boolean function we set with respect to : as the… (More)

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2015

2015

- Xiaoxiao Wang, Licheng Jiao, Yangyang Li, Yutao Qi, Jianshe Wu
- Multiple-Valued Logic and Soft Computing
- 2015

A variable-length chromosome evolutionary algorithm for reversible circuit synthesis (VLEA RC) is presented to improve the… (More)

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2009

2009

- Hosam A. Aleem, David H. Green, Ferda Mavituna
- 2009 39th International Symposium on Multiple…
- 2009

The information needed for the biotic activities of an organism is stored in a coded form in its DNA. This code is universal for… (More)

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2008

2008

- M. Yang, L. Wang, J. R. Tong, A. E. A. Almaini
- Integration
- 2008

Dual Forms of Reed–Muller (DFRM) are implemented in OR/XNOR forms, which are based on the features of coincidence operation. Map… (More)

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Highly Cited

2006

Highly Cited

2006

- Pallav Gupta, Abhinav Agrawal, Niraj K. Jha
- IEEE Transactions on Computer-Aided Design of…
- 2006

Reversible logic finds many applications, especially in the area of quantum computing. A completely specified n-input, n-output… (More)

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Review

2005

Review

2005

- Bogdan J. Falkowski, Cicilia C. Lozano
- Computers & Electrical Engineering
- 2005

A new algorithm for calculating quaternary Fixed-Polarity Reed–Muller (FPRM) spectra is described in this paper. The presented… (More)

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2004

2004

- B. J. Falkowski, Shenqiang Yan
- The 2004 47th Midwest Symposium on Circuits and…
- 2004

By investigating links between Reed-Muller expansions and Walsh-Hadamard spectra an exact and non-exhaustive algorithm for the… (More)

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2002

2002

- Piotr Porwik
- 2002

The paper describes a spectral method for combinational logic synthesis using the Walsh transform and the Reed-Muller form. A new… (More)

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2000

2000

- Jon T. Butler, Gerhard W. Dueck, Vlad P. Shmerko, Svetlana N. Yanushkevich
- IEEE Trans. on CAD of Integrated Circuits and…
- 2000

The above paper1 finds an optimal fixed-polarity Reed–Muller expansion of an -variable totally symmetric function using an OFDD… (More)

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1993

1993

- Xiexiong Chen, Haomin Wu
- Journal of Computer Science and Technology
- 1993

This paper proposes a mapping method simplifying the Reed-Muller expansion (“RM expansion”) of a ternary function under fixed… (More)

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1970