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What is Positive Polarity Reed-Muller mean?
In Boolean algebra, the algebraic normal form (ANF), ring sum normal form (RSNF or RNF), Zhegalkin normal form, or Reed–Muller expansion is a way of writing logical formulas in one of three subforms:
The entire formula is purely true or false:10One or more variables are ANDed together into a term, then one or more terms are XORed together into ANF. No NOTs are permitted:a ⊕ b ⊕ ab ⊕ abcor in standard propositional logic symbols: a ⊻ b ⊻ ( a ∧ b ) ⊻ ( a ∧ b ∧ c ) {\displaystyle a\veebar b\veebar \left(a\wedge b\right)\veebar \left(a\wedge b\wedge c\right)} The previous subform with a purely true term:1 ⊕ a ⊕ b ⊕ ab ⊕ abcFormulas written in ANF are also known as Zhegalkin polynomials (Russian: полиномы Жегалкина) and Positive Polarity (or Parity) Reed–Muller expressions (PPRM).
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Posted on 25 Sep 2024, this text provides information on Miscellaneous in General related to General. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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