Logical Formula

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 Logical formulas are used to represent logical statements in a formal, symbolic way. They are composed of variables, operators, and connectives, and are used in fields such as mathematics, computer science, philosophy, and linguistics.

The most basic operators in logical formulas are AND, OR, and NOT. These operators allow us to combine variables or logical statements to form more complex expressions.

For example, the logical formula "p AND q" represents the statement that both p and q are true. The formula "p OR q" represents the statement that either p or q (or both) are true. The formula "NOT p" represents the negation of the statement p.

Logical formulas can be combined using parentheses to form more complex expressions. For example, "(p OR q) AND NOT r" represents the statement that either p or q (or both) are true, but r is not true.

Logical formulas are used in fields such as propositional logic, predicate logic, and modal logic, and are used to reason about the truth of logical statements and the validity of arguments. They are also used in programming and artificial intelligence to represent logical rules and conditions.

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