Proof Theory
Propositional logic is a branch of logic that deals with propositions and their relationships using logical connectives. Propositions can be either true or false, and the primary goal of propositional logic is to study how the truth values of propositions combine under various operations, such as conjunction, disjunction, and negation. This foundational framework plays a crucial role in understanding formal systems, proofs, and applications of completeness and compactness.
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