Structural rule A famous structural rule is known as cut. Considerable effort is spent by proof theorists in showing that cut rules are superfluous in various logics. More precisely, what is shown is that cut is only (in a sense) a tool for abbreviating proofs, and does not add to the theorems that can be proved. The successful 'removal' of cut rules, known as "cut elimination", is directly related to the philosophy of "computation as normalization" (see Curry–Howard correspondence); it often gives a good indication of the complexity of deciding a given logic. Structural rule In proof theory, a structural rule is
Last antecedent rule in fact operates remotely on all the antecedents, binding them to the modifier. Nothing in the general literature on punctuation suggests such a mechanism. The last antecedent rule is also applied to contract interpretation. Last antecedent rule The last antecedent rule is a doctrine of interpretation of a statute, by which "Referential and qualifying phrases, where no contrary intention appears, refer solely to the last antecedent." The rule is typically bound by "common sense" and is flexible enough to avoid application that "would involve an absurdity, do violence to the plain intent of the language, or if the context for