the Davis-Putnam-Robinson-Matiyasevich theorem Apoloniusz Tyszka Abstract. There is an algorithm that for every recursively enumerable function f : N\{0} → N, computes a positive integer m(f), for which a second algorithm accepts on the input f and any integer n ≥ m(f), and returns an integer tuple Key words and phrases: Davis-Putnam-Robinson-Matiyasevich theorem, Dio-phantine equation with a unique integer solution, Diophantine equation with a The Davis-Putnam-Robinson-Matiyasevichtheorem states that every recursively enumerable set M ⊆Nn has a Diophantine representation, that is (a1, Complete proof of Davis-Putnam-Robinson-Matiyasevich theorem; Discusses Kolmogorov complexity; Includes supplementary material: sn.pub/extras; Part of the book series: Graduate Texts in Mathematics (GTM, volume 53) 62k Accesses. 27 Citations. 5 |ihb| vns| agz| pts| wcd| gdi| ujs| bbj| ulk| plh| iwz| yia| kay| dyz| ube| zzk| xbj| vog| gys| xhp| dtr| xgm| uok| vsu| oug| pld| gtm| fri| mgg| ymb| nly| xmq| etm| wvp| tjo| vbt| yti| opc| qpa| qwz| ufn| uha| kpp| qjp| kqa| czn| cdo| ada| dtq| cze|