Making index.md more informative (#24188)
* Making index.md more informative * Update index.md
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Paul Gamble
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@ -3,17 +3,17 @@ title: Satisfiability
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## Satisfiability
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## Satisfiability
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<!-- The article goes here, in GitHub-flavored Markdown. Feel free to add YouTube videos, images, and CodePen/JSBin embeds -->
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Satisfiability refers to the existence of a combination of values to make the expression true. So in short, a proposition is satisfiable if there is at least one true result in its truth table, valid if all values it returns in the truth table are true.
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A formula P is considered **satisfiable** if it is **sometimes** true for some assignment of true/false to the variables.
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A formula P is considered satisfiable if it is sometimes true for some assignment of true/false to the variables.
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Example:
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Example:
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- x ^ y : is Satisfiable with x = T, y = T
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- x ^ y : is Satisfiable with x = T, y = T
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- x v y -> x : is Satisfiable with x = T, y = F
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- x v y : is Satisfiable with x = T, y = F or x = F, y = T
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If there are no assignments, then it is considered Unsatisfiable.
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If there are no assignments, then it is considered Unsatisfiable.
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#### More Information:
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#### More Information:
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<!-- Please add any articles you think might be helpful to read before writing the article -->
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[Satisfiability explained - YouTube](https://www.youtube.com/watch?v=yo7aULLUz_0)
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