Knowledge

ALL (complexity)

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544: 105: 573: 17: 537: 467: 98: 21: 568: 530: 510: 563: 91: 290: 483: 472: 426: 421: 416: 411: 431: 285: 217: 207: 114: 29: 320: 390: 380: 337: 327: 310: 300: 258: 253: 248: 232: 212: 190: 185: 180: 168: 163: 158: 153: 45: 514: 385: 273: 195: 148: 73: 557: 78: 263: 173: 63:. It is the largest complexity class, containing all other complexity classes. 375: 200: 370: 365: 360: 305: 128: 355: 315: 462: 457: 332: 83: 43:
contains all of the complex classes of decision problems, including
452: 447: 268: 51: 280: 138: 87: 295: 227: 222: 143: 133: 518: 440: 404: 348: 241: 121: 55:, and uncountably many languages that are neither 538: 99: 8: 545: 531: 106: 92: 84: 7: 498: 496: 574:Theoretical computer science stubs 14: 468:Probabilistically checkable proof 1: 517:. You can help Knowledge by 511:theoretical computer science 590: 495: 484:List of complexity classes 36:Relations to other classes 481: 473:Interactive proof system 513:–related article is a 427:Arithmetical hierarchy 422:Grzegorczyk hierarchy 417:Exponential hierarchy 349:Considered infeasible 569:Undecidable problems 412:Polynomial hierarchy 242:Suspected infeasible 28:is the class of all 441:Families of classes 122:Considered feasible 564:Complexity classes 115:Complexity classes 526: 525: 490: 489: 432:Boolean hierarchy 405:Class hierarchies 30:decision problems 22:complexity theory 581: 547: 540: 533: 502:P ≟ NP 497: 108: 101: 94: 85: 589: 588: 584: 583: 582: 580: 579: 578: 554: 553: 552: 551: 504: 493: 491: 486: 477: 436: 400: 344: 338:PSPACE-complete 237: 117: 112: 69: 38: 12: 11: 5: 587: 585: 577: 576: 571: 566: 556: 555: 550: 549: 542: 535: 527: 524: 523: 506: 500: 488: 487: 482: 479: 478: 476: 475: 470: 465: 460: 455: 450: 444: 442: 438: 437: 435: 434: 429: 424: 419: 414: 408: 406: 402: 401: 399: 398: 393: 388: 383: 378: 373: 368: 363: 358: 352: 350: 346: 345: 343: 342: 341: 340: 330: 325: 324: 323: 313: 308: 303: 298: 293: 288: 283: 278: 277: 276: 274:co-NP-complete 271: 266: 261: 251: 245: 243: 239: 238: 236: 235: 230: 225: 220: 215: 210: 205: 204: 203: 193: 188: 183: 178: 177: 176: 166: 161: 156: 151: 146: 141: 136: 131: 125: 123: 119: 118: 113: 111: 110: 103: 96: 88: 82: 81: 74:Complexity Zoo 68: 67:External links 65: 37: 34: 13: 10: 9: 6: 4: 3: 2: 586: 575: 572: 570: 567: 565: 562: 561: 559: 548: 543: 541: 536: 534: 529: 528: 522: 520: 516: 512: 507: 503: 499: 494: 485: 480: 474: 471: 469: 466: 464: 461: 459: 456: 454: 451: 449: 446: 445: 443: 439: 433: 430: 428: 425: 423: 420: 418: 415: 413: 410: 409: 407: 403: 397: 394: 392: 389: 387: 384: 382: 379: 377: 374: 372: 369: 367: 364: 362: 359: 357: 354: 353: 351: 347: 339: 336: 335: 334: 331: 329: 326: 322: 319: 318: 317: 314: 312: 309: 307: 304: 302: 299: 297: 294: 292: 289: 287: 284: 282: 279: 275: 272: 270: 267: 265: 262: 260: 257: 256: 255: 252: 250: 247: 246: 244: 240: 234: 231: 229: 226: 224: 221: 219: 216: 214: 211: 209: 206: 202: 199: 198: 197: 194: 192: 189: 187: 184: 182: 179: 175: 172: 171: 170: 167: 165: 162: 160: 157: 155: 152: 150: 147: 145: 142: 140: 137: 135: 132: 130: 127: 126: 124: 120: 116: 109: 104: 102: 97: 95: 90: 89: 86: 80: 76: 75: 71: 70: 66: 64: 62: 58: 54: 53: 48: 47: 42: 35: 33: 31: 27: 23: 19: 18:computability 519:expanding it 508: 501: 492: 395: 72: 60: 56: 50: 44: 40: 39: 25: 15: 321:#P-complete 259:NP-complete 174:NL-complete 558:Categories 376:ELEMENTARY 201:P-complete 371:2-EXPTIME 79:Class ALL 366:EXPSPACE 361:NEXPTIME 129:DLOGTIME 356:EXPTIME 264:NP-hard 505:  463:NSPACE 458:DSPACE 333:PSPACE 509:This 453:NTIME 448:DTIME 269:co-NP 61:co-RE 52:co-RE 515:stub 281:TFNP 59:nor 49:and 20:and 396:ALL 296:QMA 286:FNP 228:APX 223:BQP 218:BPP 208:ZPP 139:ACC 41:ALL 26:ALL 16:In 560:: 391:RE 381:PR 328:IP 316:#P 311:PP 306:⊕P 301:PH 291:AM 254:NP 249:UP 233:FP 213:RP 191:CC 186:SC 181:NC 169:NL 164:FL 159:RL 154:SL 144:TC 134:AC 77:: 57:RE 46:RE 32:. 24:, 546:e 539:t 532:v 521:. 386:R 196:P 149:L 107:e 100:t 93:v

Index

computability
complexity theory
decision problems
RE
co-RE
Complexity Zoo
Class ALL
v
t
e
Complexity classes
DLOGTIME
AC
ACC
TC
L
SL
RL
FL
NL
NL-complete
NC
SC
CC
P
P-complete
ZPP
RP
BPP
BQP

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