A tautology is a statement or formula that is always true, regardless of the truth values of its components. It's…
Substitution is the fundamental act of replacing variables or expressions in logical formulas with others. It's crucial for maintaining logical…
A semantically valid formula, or tautology, is a statement that holds true for every possible interpretation. It's a fundamental concept…
Proof-theoretic validity defines a valid proof within proof-theoretic semantics. It focuses on the constructive nature of proofs and their role…
A formal consequence is a conclusion derived solely from the logical form of propositions, independent of their content. It contrasts…
Equivalence signifies that two statements have the same truth value under all interpretations. It's crucial in logic, mathematics, and computer…