tõeväärtustabeliga

Tõeväärtustabeliga is an Estonian term that translates to "with a truth table." A truth table is a mathematical table used in logic, particularly in Boolean algebra and propositional calculus, to determine the truth value of a compound statement based on the truth values of its individual components. It systematically lists all possible combinations of truth values for the propositional variables involved and shows the resulting truth value of the entire statement for each combination.

These tables are essential for analyzing and simplifying logical expressions. They provide a clear and unambiguous method for understanding the behavior of logical connectives such as AND (konjunktsoon), OR (disjunktsoon), NOT (negaatsioon), implication (implikatsioon), and equivalence (ekvivalentsus). For example, a truth table for the AND connective would show that the compound statement is true only when both individual statements are true.

Truth tables are fundamental tools in computer science, especially in digital circuit design and programming, where they are used to define the behavior of logic gates and to verify the correctness of logical operations. They offer a systematic approach to proving logical equivalences and identifying tautologies (statements that are always true) and contradictions (statements that are always false). The construction of a truth table for a statement with n variables requires 2^n rows to cover all possible truth value combinations.