Proof Theory
In proof theory, a 'cut' refers to an inference rule that allows the introduction of an assumption in a proof without actually deriving it from previous statements. This concept is crucial as it enables the simplification and restructuring of proofs. Cuts help to streamline arguments by allowing conclusions to be reached without direct connections, ultimately leading to the formulation of the cut elimination theorem, which asserts that every proof can be transformed into a cut-free proof.
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