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Logical equality is a logical operator that compares two truth values, or more generally, two formulas, such that it gives the value True if both arguments have the same truth value, and False if they are different. In the case where formulas have free variables, we say two formulas are equal when their truth values are equal for all possible resolutions…
Inequality, Definition & Overview
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logical equality truth operation values true operator two value formulas false boolean operands arguments equal xnor inequality table definition algebra
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Logical equality | 0-preserving | no | 1.00 | infobox |
| Logical equality | 1-preserving | yes | 1.00 | infobox |
| Logical equality | Affine | yes | 1.00 | infobox |
| Logical equality | Conjunctive | ( x ¯ + y ) ⋅ ( x + y ¯ ) {\displaystyle ({\overline {x}}+y)\cdot (x+{\overline {y}})} | 1.00 | infobox |
| Logical equality | Definition | x = y {\displaystyle x=y} | 1.00 | infobox |
| Logical equality | Disjunctive | x ⋅ y + x ¯ ⋅ y ¯ {\displaystyle x\cdot y+{\overline {x}}\cdot {\overline {y}}} | 1.00 | infobox |
| Logical equality | Monotone | no | 1.00 | infobox |
| Logical equality | Self-dual | no | 1.00 | infobox |
| Logical equality | Truth table | ( 1001 ) {\displaystyle (1001)} | 1.00 | infobox |
| Logical equality | Zhegalkin polynomial | 1 ⊕ x ⊕ y {\displaystyle 1\oplus x\oplus y} | 1.00 | infobox |
| Logical equality | is a | logical operator that compares two truth values | 0.90 | text |
| Logical equality | related to Definition | Logical | 0.60 | section |
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