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Exact minimization of large fixed polarity dual form of reed-muller functions (2007)
Journal Article
Yang, M., Xu, H., Wang, L. Y., Tong, J. R., & Almaini, A. E. A. (2007). Exact minimization of large fixed polarity dual form of reed-muller functions. Solid-State and Integrated Circuit Technology, 1931-1933. https://doi.org/10.1109/ICSICT.2006.306532

Dual form of Reed-Muller (DFRM) expansions are implemented in OX/XNOR logic, which are based on the features of coincidence operation and are known as fixed polarity Canonical OR-Coincidence (COC) expansions. An efficient minimization method is propo... Read More about Exact minimization of large fixed polarity dual form of reed-muller functions.

Optimal expression for fixed polarity dual Reed-Muller forms. (2007)
Journal Article
Faraj, K., & Almaini, A. E. A. (2007). Optimal expression for fixed polarity dual Reed-Muller forms. WSEAS Transactions on Circuits and Systems, 6, 364-371

An algorithm for converting between products of sum (POS) and fixed polarity dual Reed-Muller (FPDRM) is proposed in this paper. This algorithm is used to compute the coefficients of POS from FPDRM directly from the truth table of POS. This algorithm... Read More about Optimal expression for fixed polarity dual Reed-Muller forms..

Decision diagrams using 2 variable nodes. (2007)
Journal Article
Oh, P., & Almaini, A. E. A. (2007). Decision diagrams using 2 variable nodes. WSEAS Transactions on Circuits and Systems, 6, 372-379

This paper outlines two variations of Decision Digrams, the 2VBDD and 2VRMBDD. It outlines the background for BDD and RMBDD expanded with respect to one variable and the new 2V(RM)BDD when the expansion is with respect to two variables. Examples are... Read More about Decision diagrams using 2 variable nodes..

Minimization of dual Reed-Muller forms using dual property. (2007)
Journal Article
Faraj, K., & Almaini, A. E. A. (2007). Minimization of dual Reed-Muller forms using dual property. WSEAS Transactions on Circuits and Systems, 6, 9-15

We present two algorithms in this paper: the first is used to convert between Product of Sums (POS) and Positive Polarity Dual Reed-Muller (PPDRM) forms; while the second algorithm generates all the polarity sets from any polarity set for a single ou... Read More about Minimization of dual Reed-Muller forms using dual property..