A boolean expression which has been proved by logic gate implementation is said to be valid and the one which is only logical but not implemented through gates is said to be satisfiable
Satisfiability is determining if the variables of a given Boolean formula can be assigned in such a way as to make the formula evaluate to TRUE.satisfiability and validity are elementary concepts concerning interpretation. A formula is satisfiable with respect to a class of interpretations if it is possible to find an interpretation that makes the formula true[1]. A formula is valid if all such interpretations make the formula true.
A formula is satisfiable if it is true under at least one interpretation, and thus a tautology is a formula whose negation is unsatisfiable. Unsatisfiable statements are also known, formally, as contradictions.Validity is a elementary concept concerning intrepretation.
if it is possible to make an intrepretation which makes the formula true then it is said to be satisfiable.If the formula is true for all the intepretations then it is saaid to true
A boolean expression which has been proved by logic gate implementation is said to be valid and the one which is only logical but not implemented through gates is said to be satisfiable
ReplyDeleteSatisfiability is determining if the variables of a given Boolean formula can be assigned in such a way as to make the formula evaluate to TRUE.satisfiability and validity are elementary concepts concerning interpretation. A formula is satisfiable with respect to a class of interpretations if it is possible to find an
ReplyDeleteinterpretation that makes the formula true[1]. A formula is valid if all such interpretations make the formula true.
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ReplyDeleteA formula is satisfiable if it is true under at least one interpretation, and thus a tautology is a formula whose negation is unsatisfiable. Unsatisfiable statements are also known, formally, as contradictions.Validity is a elementary concept concerning intrepretation.
ReplyDeleteif it is possible to make an intrepretation which makes the formula true then it is said to be satisfiable.If the formula is true for all the intepretations then it is saaid to true
ReplyDeleteValid: Formula F is true under all possible interpretations.
ReplyDeleteSatisfiable: Formula F is true under some possible interpretation.
In propositional logic, it says:
Valid: For all interpretations, F is true.
Satisfiable: There exists some interpretation for which F is true.
if an expression is implemented and is proved it is called valid....
ReplyDeleteand the one whichn is not proved by implementation is called satisfiable....