Knowledge

Albert Muchnik

Source đź“ť

20: 283: 95:
Muchnik also made significant contributions to Medvedev's theory of mass problems, introducing a generalisation of Turing degrees, called "Muchnik degrees", in 1963. Muchnik also elaborated
19: 359: 320: 92:, opened study of the Turing degrees of the recursively enumerable sets which turned out to possess a very complicated and non-trivial structure. 168: 192: 265: 313: 364: 114:, who died in 2007, was also a mathematician working in foundations of mathematics. Albert Muchnik died in February 2019. 306: 50: 203: 179: 354: 349: 242: 220: 195: 155: 89: 169:
Recursively Enumberable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets.
131: 74: 62: 344: 339: 66: 8: 294: 151: 38: 199: 175: 70: 258: 171: 69:
independently introduced the priority method which gave an affirmative answer to
290: 125:
On the unsolvability of the problem of reducibility in the theory of algorithms
111: 110:
Muchnik was married to the Russian mathematician Nadezhda Ermolaeva. Their son
77: 31: 333: 54: 34: 103:
as "calculus of problems" and proved that the lattice of Muchnik degrees is
104: 100: 233: 96: 282: 61:
Muchnik's most significant contribution was on the subject of
217:
On strong and weak reducibility of algorithmic problems
331: 289:This article about a Russian mathematician is a 134:(N.S.), vol. 108 (1956), pp. 194–197 57:. From there, he wrote his dissertation titled 314: 232:S. I. Adian, A. L. Semenov, V. A. Uspenskii, 37:who worked in the field of foundations and 360:Moscow State Pedagogical University alumni 321: 307: 245:, vol. 62 (2007), no. 4, pp. 140–144 59:Solution to the Post Reducibility Problem. 30:(2 January 1934 – 14 February 2019) was a 266:Keldysh Institute of Applied Mathematics 117: 18: 191:Nikolai Vereshchagin, Alexander Shen, 332: 277: 223:, vol. 4 (1963), pp. 1328–1341 13: 51:Moscow State Pedagogical Institute 14: 376: 259:Albert Mucknik's personal webpage 252: 53:in 1959 under the advisorship of 16:Russian mathematician (1934–2019) 281: 88:. This result, now known as the 226: 209: 185: 161: 145: 1: 243:Uspekhi Matematicheskikh Nauk 221:Siberian Mathematical Journal 196:American Mathematical Society 156:Mathematics Genealogy Project 138: 293:. You can help Knowledge by 44: 7: 365:Russian mathematician stubs 158:. Accessed January 26, 2010 73:regarding the existence of 49:He received his Ph.D. from 10: 381: 276: 235:Andrei Albertovich Muchnik 132:Doklady Akademii Nauk SSSR 152:Albert Abramovich Muchnik 90:Friedberg–Muchnik theorem 28:Albert Abramovich Muchnik 99:'s proposal of viewing 355:Russian mathematicians 350:Mathematical logicians 75:recursively enumerable 63:relative computability 24: 193:Computable functions. 118:Selected publications 22: 39:mathematical logic 25: 302: 301: 167:Robert I. Soare, 67:Richard Friedberg 372: 323: 316: 309: 285: 278: 264: 246: 241: 230: 224: 213: 207: 189: 183: 165: 159: 149: 130: 380: 379: 375: 374: 373: 371: 370: 369: 330: 329: 328: 327: 274: 271: 262: 255: 250: 249: 239: 231: 227: 215:A. A. Muchnik, 214: 210: 190: 186: 172:Springer-Verlag 166: 162: 150: 146: 141: 128: 123:A. A. Muchnik, 120: 47: 17: 12: 11: 5: 378: 368: 367: 362: 357: 352: 347: 342: 326: 325: 318: 311: 303: 300: 299: 286: 269: 268: 254: 253:External links 251: 248: 247: 225: 208: 184: 160: 143: 142: 140: 137: 136: 135: 119: 116: 112:Andrey Muchnik 78:Turing degrees 71:Post's problem 46: 43: 23:Albert Muchnik 15: 9: 6: 4: 3: 2: 377: 366: 363: 361: 358: 356: 353: 351: 348: 346: 343: 341: 338: 337: 335: 324: 319: 317: 312: 310: 305: 304: 298: 296: 292: 287: 284: 280: 279: 275: 272: 267: 260: 257: 256: 244: 237: 236: 229: 222: 219:. (Russian) 218: 212: 205: 204:0-8218-2732-4 201: 197: 194: 188: 181: 180:3-540-15299-7 177: 173: 170: 164: 157: 153: 148: 144: 133: 126: 122: 121: 115: 113: 108: 106: 102: 98: 93: 91: 87: 83: 79: 76: 72: 68: 64: 60: 56: 55:Pyotr Novikov 52: 42: 40: 36: 35:mathematician 33: 29: 21: 295:expanding it 288: 273: 270: 263:(in Russian) 240:(in Russian) 234: 228: 216: 211: 187: 163: 147: 129:(in Russian) 124: 109: 101:intuitionism 94: 85: 81: 58: 48: 27: 26: 345:2019 deaths 340:1934 births 334:Categories 139:References 105:Brouwerian 97:Kolmogorov 65:. He and 45:Biography 198:, 2003, 182:; p. 118 174:, 1999, 80:between 206:; p. 85 32:Russian 202:  178:  291:stub 200:ISBN 176:ISBN 84:and 86:0' 336:: 154:, 127:. 107:. 82:0 41:. 322:e 315:t 308:v 297:. 261:, 238:,

Index


Russian
mathematician
mathematical logic
Moscow State Pedagogical Institute
Pyotr Novikov
relative computability
Richard Friedberg
Post's problem
recursively enumerable
Turing degrees
Friedberg–Muchnik theorem
Kolmogorov
intuitionism
Brouwerian
Andrey Muchnik
Doklady Akademii Nauk SSSR
Albert Abramovich Muchnik
Mathematics Genealogy Project
Recursively Enumberable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets.
Springer-Verlag
ISBN
3-540-15299-7
Computable functions.
American Mathematical Society
ISBN
0-8218-2732-4
Siberian Mathematical Journal
Andrei Albertovich Muchnik
Uspekhi Matematicheskikh Nauk

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑