What can be concluded if a formula contains both a variable and its negation? A) The disjunction can be removed in CNF B) The formula is consistent C) The conjunction can be remove... What can be concluded if a formula contains both a variable and its negation? A) The disjunction can be removed in CNF B) The formula is consistent C) The conjunction can be removed in DNF D) The formula is simplified to true
Understand the Problem
The question is asking about the implications of having both a variable and its negation in a formula, specifically in terms of its simplification and logical properties in conjunctive normal form (CNF) and disjunctive normal form (DNF).
Answer
The formula is simplified to false
The formula is simplified to false
Answer for screen readers
The formula is simplified to false
More Information
In classical logic, having both a variable and its negation implies a contradiction, which simplifies the formula to false.
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