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
Zadeh's Rule Programming and Combinatorial Optimization conference in 2011 by Oliver Friedmann. Zadeh, although not working in academia anymore at that time, attended the conference and honored his original proposal. Zadeh's Rule In mathematical optimization, Zadeh's rule (also known as Least-entered rule) is an algorithmic refinement of the simplex method for linear optimization. The rule was proposed around 1980 by Lotfi A. Zadeh, and has entered the folklore of convex optimization since then. Zadeh offered a reward of $1,000 to anyone who can show that the rule admits polynomially many iterations or to prove that there is a family of linear programs