algorithm for backtrace proeeduregenerate( G : group; P : property; s : 1..k+l; l  9 1..k+l; i : 1..k+l; [71, 72 ..... 7i-1 ] : initial segment of base image; var K : group ); (* Generate the coset representatives of G (t) in G (s) whose base image start with [71, 72 ..... 7i-1] and .that may have property P. If one is found then extend K, the subgroup of G (s) of elements with property P that have already been found, and return to search. *)

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Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.