A Survey of Mučnik and Medvedev Degrees
Peter G. Hinman · Bulletin of Symbolic Logic · 2012
Abstract We survey the theory of Mučnik (weak) and Medvedev (strong) degrees of subsets of ωω with particular attention to the degrees of subsets of ω2. Sections 1–6 present the major definitions and results in a uniform notation. Sections 7–16 present proofs, some more complete than others, of the major results of the subject together with much of the required background material.