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
Rule of law the Study of the Law of the Constitution" (1885); these two pillars are the rule of law and parliamentary sovereignty. All government officers of the United States, including the President, the Justices of the Supreme Court, state judges and legislators, and all members of Congress, pledge first and foremost to uphold the Constitution. These oaths affirm that the rule of law is superior to the rule of any human leader. At the same time, the federal government has considerable discretion: the legislative branch is free to decide what statutes it will write, as long as it stays within its enumerated