Weak completeness states that if a statement is semantically valid (true in all interpretations), then it is provable within the…
Explore the concept of validity in logic, focusing on deductive arguments where true premises guarantee a true conclusion. Understand its…
Truth-trees, also known as analytic tableaux, are a method for testing logical validity and consistency. They systematically break down complex…
A tautology is a statement or formula that is always true, regardless of the truth values of its components. It's…
A sound deductive argument is both valid and has true premises. This means its conclusion must be true, guaranteeing certainty.…
Semantic consequence describes the logical relationship between premises and a conclusion in a formal language. It guarantees that no interpretation…
A rule of inference is a logical structure that allows deriving a conclusion from a set of premises. It's fundamental…
Propositional logic is a fundamental branch of logic focusing on propositions as basic units. It uses connectives like AND, OR,…
Proof-theoretic validity defines a valid proof within proof-theoretic semantics. It focuses on the constructive nature of proofs and their role…
An argument is logically valid if its conclusion must be true whenever its premises are true. This validity stems from…