Computation using s-programs

Abstract

The concepts of S and Sn programs are given by Davis, Weyuker, 1983. Several parts of the complexity theory are carried out directly for S and Sn programs. The concepts of non-deterministic and deterministic computation from S-programs are defined, and deterministic simulation of non-deterministic computation is proved. A universal 5-program for general (non-deterministic) computation is shown to require only one duplicate line label. Complexity results are given for these and other simulations, e.g. Turing Machine by 5-programs and the reverse. Cook's Theorem for Sn programs is proved in full.