A syntactic proof is a formal sequence of statements or derivations that demonstrate the validity of a conclusion based on a set of premises, utilizing the rules of inference and logical axioms within a formal system. This type of proof emphasizes the manipulation of symbols and formulas according to specific syntactical rules rather than relying on semantic interpretations or models. Syntactic proofs are crucial in establishing soundness and completeness in formal logic, as they provide a clear method for deducing conclusions from premises.
congrats on reading the definition of Syntactic Proof. now let's actually learn it.