Knowledge

Michael O. Rabin

Source 📝

38: 562:. He was an associate professor and the head of the Institute of Mathematics at the Hebrew University at 29 years old, and a full professor by 33. Rabin recalls, "There was absolutely no appreciation of the work on the issues of computing. Mathematicians did not recognize the emerging new field". 577:
that employ coin tosses in order to decide which state transitions to take. He showed examples of regular languages that required a very large number of states, but for which you get an exponential reduction of the number of states with probabilistic automata.
1372: 696:
invented by Wiesner under the name of multiplexing, allowing a sender to transmit a message to a receiver where the receiver has some probability between 0 and 1 of learning the message, with the sender being unaware whether the receiver was able to do so.
1364: 236: 786:
For their joint paper "Finite Automata and Their Decision Problems," which introduced the idea of nondeterministic machines, which has proved to be an enormously valuable concept. Their (Scott & Rabin)
1440: 545:
posed a puzzle to him about spies, guards, and passwords, which Rabin studied and soon after he wrote an article, "Degree of Difficulty of Computing a Function and Hierarchy of Recursive Sets."
655:
is true, but Rabin's version of the test made no such assumption. Fast primality testing is key in the successful implementation of most public-key cryptography, and in 2003 Miller, Rabin,
2966: 2936: 1480: 2886: 2981: 2911: 1424: 922: 1539: 1048:
Rabin, M.O., "Degree of Difficulty of Computing a Function and Hierarchy of Recursive Sets", Technical Report No. 2, O.N.R., Hebrew University, Jerusalem, 1960
2991: 2931: 2552: 1585: 1792: 1444: 1910: 2906: 1906: 1944: 1720: 1458: 2961: 1221: 1854: 1476: 1343: 751: 947: 479:, intervened with the army command, and Rabin was discharged to study at the university in 1949. Afterwards, he received an M.Sc from 2971: 1421: 2951: 1578: 2571: 1002: 530:
wrote the paper "Finite Automata and Their Decision Problems". Soon, using nondeterministic automata, they were able to re-prove
709: 126: 1401: 1151: 2986: 759: 636: 2916: 2896: 2436: 1937: 2901: 1571: 817:, for Computers and Telecommunications. Rabin was awarded an Honorary Doctor of Science from Harvard University in 2017. 171: 2996: 2535: 2008: 1510: 542: 504: 894: 2926: 643:, a randomized algorithm that can determine very quickly (but with a tiny probability of error) whether a number is 558:
Rabin then returned to Jerusalem, researching logic, and working on the foundations of what would later be known as
2312: 1688: 969: 220: 159: 1266: 2921: 2891: 2152: 1930: 858: 640: 538: 142: 2941: 755: 652: 480: 313: 86: 2248: 1035: 138: 1563: 2663: 523: 452:. As a young boy, he was very interested in mathematics and his father sent him to the best high school in 2544: 1073: 586: 1462: 763: 675: 601: 551:
have become a key concept in computational complexity theory, particularly with the description of the
484: 183: 95: 2638: 468: 122: 515:
as Gordon McKay Professor of Computer Science in 1981, he was a professor at the Hebrew University.
2653: 635:
In 1975, Rabin finished his tenure as Rector of the Hebrew University of Jerusalem and went to the
548: 179: 1232: 793:] classic paper has been a continuous source of inspiration for subsequent work in this field. 685:, the first asymmetric cryptosystem whose security was proved equivalent to the intractability of 2766: 2713: 705: 648: 597: 167: 150: 134: 2976: 2956: 2809: 2776: 2528: 2513: 1595: 1554: 1335: 664: 574: 244: 2176: 2566: 1029: 686: 175: 130: 1534: 2881: 2829: 1866: 1796: 943: 492: 488: 103: 99: 8: 2404: 1654: 803: 732: 531: 464: 449: 317: 1291: 719:
Rabin's more recent research has concentrated on computer security. He is currently the
2946: 2633: 2360: 2204: 2080: 2016: 2000: 1716: 1670: 1311: 1143: 914: 838: 781:
for a paper written in 1959, the citation for which states that the award was granted:
724: 693: 682: 617: 512: 404: 309: 163: 114: 581:
In 1966 (published in conference proceedings in 1967), Rabin introduced the notion of
2844: 2708: 2521: 2240: 2212: 1696: 1558: 1205: 1188: 848: 810: 728: 656: 609: 155: 118: 90: 1535:
Short Description in an Information Science Hall of Fame at University of Pittsburgh
918: 368: 2860: 2793: 2703: 2673: 2432: 2416: 2384: 2340: 2336: 2044: 1830: 1740: 1650: 1646: 1610: 1393: 1315: 1303: 1200: 1135: 1103: 1017: 906: 853: 720: 559: 472: 457: 340: 299: 146: 1544: 1123: 260: 2839: 2739: 2693: 2668: 2628: 2581: 2492: 2448: 2424: 2292: 2276: 2200: 2160: 2132: 2072: 2024: 1984: 1902: 1840: 1760: 1750: 1710: 1700: 1682: 1606: 1222:"Digitalized signatures and public-key functions as intractable as factorization" 843: 814: 806: 671: 660: 629: 566: 552: 429: 392: 268: 65: 2819: 2754: 2688: 2683: 2658: 2611: 2591: 2586: 2476: 2412: 2396: 2368: 2352: 2344: 2272: 2192: 2116: 1976: 1922: 1888: 1782: 1746: 1734: 1660: 1632: 1614: 582: 373: 358: 276: 196: 2875: 2788: 2648: 2606: 2576: 2548: 2500: 2484: 2460: 2444: 2388: 2328: 2168: 2144: 2140: 2124: 2096: 1992: 1896: 1884: 1858: 1848: 1824: 1778: 1766: 1756: 1728: 1664: 1642: 1593: 1428: 1060:
Mathematical Aspects of Computer Science. Proc. Sympos. Appl. Math., Vol. XIX
890: 767: 526:
with other promising mathematicians and scientists. It was there that he and
400: 345: 20: 910: 2814: 2678: 2623: 2464: 2184: 2112: 2104: 2040: 2032: 1953: 1892: 1844: 1808: 1802: 1676: 1618: 1502: 1107: 1091: 799: 774: 738: 713: 701: 644: 590: 408: 228: 212: 204: 2782: 2760: 2749: 2733: 2726: 2719: 2617: 2824: 2771: 2698: 2601: 2596: 2376: 2256: 2232: 2224: 2064: 1968: 1862: 1786: 1772: 1724: 1706: 625: 621: 1307: 2744: 2643: 2472: 2452: 2320: 2288: 2284: 2264: 2088: 2056: 1880: 1876: 1636: 1626: 1622: 1147: 1021: 994: 778: 678:
and presented the primality test, which Traub called "revolutionary".
651:
that solved the problem deterministically with the assumption that the
527: 363: 252: 1259:
How to exchange secrets by oblivious transfer (Technical Report TR-81)
1257: 1124:"Decidability of second order theories and automata on infinite trees" 433: 425: 61: 2308: 2216: 1870: 1836: 1818: 1814: 1549: 826: 731:. During the spring semester of 2007, he was a visiting professor at 570: 476: 1139: 639:
in the USA as a visiting professor. While there, Rabin invented the
534:
result that finite state machines exactly accept regular languages.
2300: 1956: 518:
In the late 1950s, he was invited for a summer to do research for
1078:
Logic, Methodology and Philos. Sci. (Proc. 1964 Internat. Congr.)
2543: 1076:(1965). "The intrinsic computational difficulty of functions". 445: 437: 324: 76: 1441:"Israel Prize Official Site - Recipients in 1995 (in Hebrew)" 1058:
Rabin, Michael O. (1967). "Mathematical theory of automata".
692:
In 1981, Rabin reinvented a weak variant of the technique of
453: 441: 37: 467:
in Haifa in 1948, and was drafted into the army during the
2967:
International Association for Cryptologic Research fellows
789: 519: 508: 2937:
Members of the Israel Academy of Sciences and Humanities
16:
Israeli mathematician and computer scientist (born 1931)
802:, in computer sciences. In 2010, Rabin was awarded the 503:
Rabin became Associate Professor of Mathematics at the
2887:
Foreign associates of the National Academy of Sciences
585:(introduced independently and very shortly before by 541:, the next summer Rabin returned to the Lamb Estate. 2982:
Harvard University Department of Mathematics faculty
2912:
Academic staff of the Hebrew University of Jerusalem
1265:. Aiken Computation Laboratory: Harvard University. 330:
Recursive Unsolvability of Group Theoretic Problems
1229:
MIT Laboratory of Computer Science Technical Report
1292:"Efficient randomized pattern-matching algorithms" 1128:Transactions of the American Mathematical Society 620:. A key component of the proof implicitly showed 2873: 1952: 1459:"Dan David Prize Official Site - Laureates 2010" 1189:"Probabilistic algorithm for testing primality" 704:, created one of the most well-known efficient 647:. Rabin's method was based on previous work of 1172:Rabin, MO (1976). "Probabilistic algorithms". 1024:. Archived from the original on March 4, 2016. 2992:Members of the American Philosophical Society 2529: 1938: 1579: 1545:Quotes from some of Professor Rabin's classes 1289: 1003:"Finite Automata and Their Decision Problems" 885: 883: 881: 879: 877: 875: 873: 2932:Israel Prize in computer sciences recipients 419: 237:IEEE Computer Society Charles Babbage Award 2536: 2522: 1945: 1931: 1596:Paris Kanellakis Theory and Practice Award 1586: 1572: 993: 870: 752:United States National Academy of Sciences 36: 1204: 825:Rabin has a daughter, computer scientist 2907:Einstein Institute of Mathematics alumni 537:As to the origins of what was to become 475:, who was a professor of mathematics in 399:; born September 1, 1931) is an Israeli 1398:American Academy of Arts & Sciences 1296:IBM Journal of Research and Development 1090: 1010:IBM Journal of Research and Development 456:, where he studied under mathematician 2874: 1072: 889: 628:, which lie in the third level of the 460:, who was then a high school teacher. 2517: 1926: 1567: 1255: 1219: 1186: 1174:Algorithms and Complexity, Proc. Symp 1171: 1121: 1094:(1965). "Paths, trees, and flowers". 1057: 970:"Michael O. Rabin - Curriculum Vitae" 950:from the original on 28 November 2023 760:American Academy of Arts and Sciences 745: 727:and Professor of Computer Science at 667:for their work on primality testing. 637:Massachusetts Institute of Technology 2962:Foreign members of the Royal Society 1513:from the original on 26 October 2022 1477:"Harvard awards 10 honorary degrees" 1062:. Amer. Math. Soc. pp. 153–175. 895:"An Interview with Michael O. Rabin" 987: 483:. He began graduate studies at the 396: 13: 1550:Website for one of Rabin's courses 1290:Karp, RM; Rabin, MO (March 1987). 809:("Future" category), jointly with 710:Rabin–Karp string search algorithm 505:University of California, Berkeley 127:Rabin–Karp string search algorithm 14: 3008: 1528: 777:was awarded jointly to Rabin and 750:Rabin is a foreign member of the 723:Professor of Computer Science at 131:Rabin–Scott powerset construction 2972:IBM Research computer scientists 1483:from the original on 25 May 2017 820: 160:Nondeterministic finite automata 2952:Theoretical computer scientists 1555:Description of Rabin's research 1495: 1469: 1451: 1433: 1415: 1404:from the original on 2022-05-02 1386: 1375:from the original on 2022-05-02 1357: 1346:from the original on 2022-05-02 1328: 1283: 1272:from the original on 2021-11-23 1249: 1213: 1180: 1165: 1154:from the original on 2020-06-12 925:from the original on 2016-03-13 859:List of Israel Prize recipients 798:In 1995, Rabin was awarded the 539:computational complexity theory 1115: 1084: 1066: 1051: 1042: 962: 936: 766:, and a foreign member of the 756:American Philosophical Society 700:In 1987, Rabin, together with 653:generalized Riemann hypothesis 481:Hebrew University of Jerusalem 314:Hebrew University of Jerusalem 87:Hebrew University of Jerusalem 1: 864: 2987:Academic staff of ETH Zurich 1206:10.1016/0022-314X(80)90084-0 681:In 1979, Rabin invented the 524:Westchester County, New York 511:(1962-63). Before moving to 414: 7: 2917:Columbia University faculty 2897:Israeli computer scientists 832: 641:Miller–Rabin primality test 602:monadic second-order theory 565:In 1960, he was invited by 553:complexity classes P and NP 143:Miller–Rabin primality test 10: 3013: 2902:Hebrew Reali School alumni 1256:Rabin, Michael O. (1981). 1220:Rabin, MO (January 1979). 764:French Academy of Sciences 676:Carnegie Mellon University 670:In 1976 he was invited by 596:In 1969, Rabin introduced 485:University of Pennsylvania 424:Rabin was born in 1931 in 184:Verifiable random function 96:University of Pennsylvania 18: 2997:Weizmann Prize recipients 2853: 2802: 2559: 1963: 1602: 1422:ACM Turing Award Citation 1034:: CS1 maint: unfit URL ( 899:Communications of the ACM 573:, where Rabin introduced 549:Nondeterministic machines 498: 463:Rabin graduated from the 382: 351: 339: 323: 305: 295: 288: 189: 139:Berlekamp–Rabin algorithm 123:Rabin signature algorithm 110: 82: 72: 44: 35: 28: 2927:Dijkstra Prize laureates 1193:Journal of Number Theory 706:string search algorithms 420:Early life and education 180:Two-way finite automaton 2714:Robert Mair, Baron Mair 911:10.1145/1646353.1646369 407:, and recipient of the 168:Probabilistic automaton 151:Infinite-tree automaton 19:For the violinist, see 2922:Turing Award laureates 2892:Israeli mathematicians 2777:Veronica van Heyningen 1977:Maurice Vincent Wilkes 1108:10.4153/CJM-1965-045-4 796: 665:Paris Kanellakis Award 598:infinite-tree automata 575:probabilistic automata 522:at the Lamb Estate in 245:Paris Kanellakis Award 2942:Modern cryptographers 1238:on September 21, 2006 783: 687:integer factorization 469:1948 Arab–Israeli War 397:מִיכָאֵל עוזר רַבִּין 176:Randomized algorithms 2830:Jeremiah P. Ostriker 2767:David C. Sherrington 2745:Edward Arend Perkins 1394:"Michael Oser Rabin" 1369:search.amphilsoc.org 1365:"APS Member History" 975:. Harvard University 721:Thomas J. Watson Sr. 600:and proved that the 493:Princeton University 471:. The mathematician 100:Princeton University 2405:Michael Stonebraker 2177:Fernando J. CorbatĂł 1308:10.1147/rd.312.0249 804:Tel Aviv University 733:Columbia University 487:before receiving a 465:Hebrew Reali School 448:with his family to 318:Columbia University 135:Adian–Rabin theorem 2634:George F. R. Ellis 2361:Charles P. Thacker 2205:Richard E. Stearns 2081:Kenneth E. Iverson 2017:Edsger W. Dijkstra 2001:James H. Wilkinson 1954:A. M. Turing Award 1540:Oblivious transfer 1336:"Michael O. Rabin" 1187:Rabin, MO (1980). 1122:Rabin, MO (1969). 1022:10.1147/rd.32.0114 944:"Michael O. Rabin" 839:Oblivious transfer 762:, a member of the 758:, a member of the 754:, a member of the 746:Awards and honours 725:Harvard University 694:oblivious transfer 683:Rabin cryptosystem 513:Harvard University 405:computer scientist 389:Michael Oser Rabin 310:Harvard University 164:Oblivious transfer 115:Rabin cryptosystem 30:Michael Oser Rabin 2869: 2868: 2709:Ravinder N. Maini 2511: 2510: 2369:Leslie G. Valiant 2241:Douglas Engelbart 2213:Edward Feigenbaum 1920: 1919: 1559:Richard J. Lipton 1465:on March 6, 2010. 1340:www.nasonline.org 1080:. pp. 24–30. 893:(February 2010). 849:Rabin fingerprint 811:Leonard Kleinrock 729:Hebrew University 657:Robert M. Solovay 450:Mandate Palestine 386: 385: 352:Doctoral students 290:Scientific career 119:Rabin fingerprint 55:September 1, 1931 3004: 2835:Michael O. Rabin 2810:Wallace Broecker 2794:Andrew Zisserman 2704:Peter Littlewood 2674:Anthony A. Hyman 2538: 2531: 2524: 2515: 2514: 2504: 2496: 2488: 2480: 2468: 2456: 2440: 2433:John L. Hennessy 2428: 2420: 2417:Whitfield Diffie 2408: 2400: 2392: 2385:Shafi Goldwasser 2380: 2372: 2364: 2356: 2348: 2341:E. Allen Emerson 2337:Edmund M. Clarke 2332: 2324: 2316: 2304: 2296: 2280: 2268: 2260: 2252: 2244: 2236: 2228: 2220: 2208: 2196: 2188: 2180: 2172: 2164: 2156: 2148: 2136: 2128: 2120: 2108: 2100: 2092: 2084: 2076: 2068: 2060: 2053:Michael O. Rabin 2048: 2045:Herbert A. Simon 2036: 2028: 2020: 2012: 2004: 1996: 1988: 1980: 1972: 1947: 1940: 1933: 1924: 1923: 1588: 1581: 1574: 1565: 1564: 1523: 1522: 1520: 1518: 1499: 1493: 1492: 1490: 1488: 1473: 1467: 1466: 1461:. Archived from 1455: 1449: 1448: 1443:. Archived from 1437: 1431: 1419: 1413: 1412: 1410: 1409: 1390: 1384: 1383: 1381: 1380: 1361: 1355: 1354: 1352: 1351: 1332: 1326: 1325: 1323: 1322: 1287: 1281: 1280: 1278: 1277: 1271: 1264: 1253: 1247: 1246: 1244: 1243: 1237: 1231:. Archived from 1226: 1217: 1211: 1210: 1208: 1184: 1178: 1177: 1169: 1163: 1162: 1160: 1159: 1119: 1113: 1111: 1096:Canadian J. Math 1088: 1082: 1081: 1070: 1064: 1063: 1055: 1049: 1046: 1040: 1039: 1033: 1025: 1007: 991: 985: 984: 982: 980: 974: 966: 960: 959: 957: 955: 946:. amturing.acm. 940: 934: 933: 931: 930: 887: 854:Hyper-encryption 737:Introduction to 712:, known for its 560:computer science 473:Abraham Fraenkel 458:Elisha Netanyahu 440:), the son of a 398: 341:Doctoral advisor 335: 300:Computer science 281: 273: 265: 257: 249: 241: 233: 225: 217: 209: 201: 154:Decidability of 147:Hyper-encryption 58: 54: 52: 40: 26: 25: 3012: 3011: 3007: 3006: 3005: 3003: 3002: 3001: 2872: 2871: 2870: 2865: 2849: 2840:Gerald M. Rubin 2798: 2740:John A. Peacock 2694:Ottoline Leyser 2679:Anthony Kinloch 2669:Nicholas Higham 2629:George Coupland 2618:Richard Cogdell 2582:Samuel Berkovic 2555: 2542: 2512: 2507: 2499: 2493:Robert Metcalfe 2491: 2483: 2471: 2459: 2449:Geoffrey Hinton 2443: 2437:David Patterson 2431: 2425:Tim Berners-Lee 2423: 2411: 2403: 2395: 2383: 2375: 2367: 2359: 2351: 2335: 2327: 2319: 2307: 2299: 2293:Leonard Adleman 2283: 2277:Kristen Nygaard 2271: 2263: 2255: 2247: 2239: 2231: 2223: 2211: 2201:Juris Hartmanis 2199: 2191: 2183: 2175: 2167: 2161:Ivan Sutherland 2159: 2151: 2139: 2131: 2123: 2111: 2103: 2095: 2087: 2079: 2073:Robert W. Floyd 2071: 2063: 2051: 2039: 2031: 2025:Charles Bachman 2023: 2015: 2007: 1999: 1991: 1985:Richard Hamming 1983: 1975: 1967: 1959: 1951: 1921: 1916: 1598: 1594:Winners of the 1592: 1531: 1526: 1516: 1514: 1501: 1500: 1496: 1486: 1484: 1479:. 25 May 2017. 1475: 1474: 1470: 1457: 1456: 1452: 1439: 1438: 1434: 1420: 1416: 1407: 1405: 1392: 1391: 1387: 1378: 1376: 1363: 1362: 1358: 1349: 1347: 1334: 1333: 1329: 1320: 1318: 1288: 1284: 1275: 1273: 1269: 1262: 1254: 1250: 1241: 1239: 1235: 1224: 1218: 1214: 1185: 1181: 1170: 1166: 1157: 1155: 1140:10.2307/1995086 1120: 1116: 1089: 1085: 1071: 1067: 1056: 1052: 1047: 1043: 1027: 1026: 1005: 992: 988: 978: 976: 972: 968: 967: 963: 953: 951: 942: 941: 937: 928: 926: 888: 871: 867: 844:Rabin automaton 835: 823: 815:Gordon E. Moore 807:Dan David Prize 748: 663:were given the 661:Volker Strassen 630:Borel hierarchy 583:polynomial time 567:Edward F. Moore 501: 422: 417: 378: 333: 316: 312: 284: 279: 271: 269:Dan David Prize 263: 255: 247: 239: 231: 223: 215: 207: 199: 182: 178: 174: 170: 166: 162: 158: 153: 149: 145: 141: 137: 133: 129: 125: 121: 117: 98: 94: 83:Alma mater 68: 59: 56: 50: 48: 31: 24: 17: 12: 11: 5: 3010: 3000: 2999: 2994: 2989: 2984: 2979: 2974: 2969: 2964: 2959: 2954: 2949: 2944: 2939: 2934: 2929: 2924: 2919: 2914: 2909: 2904: 2899: 2894: 2889: 2884: 2867: 2866: 2864: 2863: 2857: 2855: 2851: 2850: 2848: 2847: 2842: 2837: 2832: 2827: 2822: 2820:Stanley Falkow 2817: 2812: 2806: 2804: 2800: 2799: 2797: 2796: 2791: 2786: 2783:David Lee Wark 2779: 2774: 2769: 2764: 2757: 2755:Daniela Rhodes 2752: 2747: 2742: 2737: 2730: 2727:Andrew McMahon 2723: 2716: 2711: 2706: 2701: 2696: 2691: 2689:Malcolm Levitt 2686: 2684:Richard Leakey 2681: 2676: 2671: 2666: 2661: 2659:Grahame Hardie 2656: 2654:Rosemary Grant 2651: 2646: 2641: 2636: 2631: 2626: 2621: 2614: 2612:Geoffrey Cloke 2609: 2604: 2599: 2594: 2592:Jeremy Bloxham 2589: 2587:Michael Bickle 2584: 2579: 2574: 2569: 2563: 2561: 2557: 2556: 2541: 2540: 2533: 2526: 2518: 2509: 2508: 2506: 2505: 2497: 2489: 2481: 2477:Jeffrey Ullman 2469: 2457: 2441: 2429: 2421: 2413:Martin Hellman 2409: 2401: 2397:Leslie Lamport 2393: 2381: 2373: 2365: 2357: 2353:Barbara Liskov 2349: 2345:Joseph Sifakis 2333: 2325: 2317: 2305: 2297: 2281: 2273:Ole-Johan Dahl 2269: 2261: 2253: 2245: 2237: 2229: 2221: 2209: 2197: 2193:Butler Lampson 2189: 2181: 2173: 2165: 2157: 2149: 2137: 2129: 2121: 2117:Dennis Ritchie 2109: 2101: 2093: 2085: 2077: 2069: 2061: 2049: 2037: 2029: 2021: 2013: 2005: 1997: 1989: 1981: 1973: 1964: 1961: 1960: 1950: 1949: 1942: 1935: 1927: 1918: 1917: 1915: 1914: 1900: 1874: 1852: 1834: 1828: 1822: 1812: 1806: 1800: 1790: 1776: 1770: 1764: 1754: 1744: 1738: 1732: 1714: 1704: 1686: 1680: 1674: 1668: 1658: 1640: 1630: 1603: 1600: 1599: 1591: 1590: 1583: 1576: 1568: 1562: 1561: 1552: 1547: 1542: 1537: 1530: 1529:External links 1527: 1525: 1524: 1494: 1468: 1450: 1447:on 2008-12-27. 1432: 1427:2012-07-14 at 1414: 1385: 1356: 1327: 1302:(2): 249–260. 1282: 1248: 1212: 1199:(1): 128–138. 1179: 1164: 1114: 1083: 1065: 1050: 1041: 1016:(2): 114–125. 999:Rabin, Michael 986: 961: 935: 891:Shasha, Dennis 868: 866: 863: 862: 861: 856: 851: 846: 841: 834: 831: 822: 819: 747: 744: 507:(1961–62) and 500: 497: 444:. In 1935, he 421: 418: 416: 413: 384: 383: 380: 379: 377: 376: 374:Saharon Shelah 371: 369:MoshĂŠ Machover 366: 361: 359:Judit Bar-Ilan 355: 353: 349: 348: 343: 337: 336: 327: 321: 320: 307: 303: 302: 297: 293: 292: 286: 285: 283: 282: 277:Dijkstra Prize 274: 266: 258: 250: 242: 234: 226: 218: 210: 202: 197:Weizmann Prize 193: 191: 187: 186: 112: 111:Known for 108: 107: 84: 80: 79: 74: 70: 69: 60: 46: 42: 41: 33: 32: 29: 15: 9: 6: 4: 3: 2: 3009: 2998: 2995: 2993: 2990: 2988: 2985: 2983: 2980: 2978: 2977:IBM employees 2975: 2973: 2970: 2968: 2965: 2963: 2960: 2958: 2957:Living people 2955: 2953: 2950: 2948: 2945: 2943: 2940: 2938: 2935: 2933: 2930: 2928: 2925: 2923: 2920: 2918: 2915: 2913: 2910: 2908: 2905: 2903: 2900: 2898: 2895: 2893: 2890: 2888: 2885: 2883: 2880: 2879: 2877: 2862: 2861:Onora O'Neill 2859: 2858: 2856: 2852: 2846: 2845:Peter Wolynes 2843: 2841: 2838: 2836: 2833: 2831: 2828: 2826: 2823: 2821: 2818: 2816: 2813: 2811: 2808: 2807: 2805: 2801: 2795: 2792: 2790: 2789:Trevor Wooley 2787: 2785: 2784: 2780: 2778: 2775: 2773: 2770: 2768: 2765: 2763: 2762: 2758: 2756: 2753: 2751: 2748: 2746: 2743: 2741: 2738: 2736: 2735: 2734:Richard Moxon 2731: 2729: 2728: 2724: 2722: 2721: 2720:Michael Malim 2717: 2715: 2712: 2710: 2707: 2705: 2702: 2700: 2697: 2695: 2692: 2690: 2687: 2685: 2682: 2680: 2677: 2675: 2672: 2670: 2667: 2665: 2662: 2660: 2657: 2655: 2652: 2650: 2649:Siamon Gordon 2647: 2645: 2642: 2640: 2639:Barry Everitt 2637: 2635: 2632: 2630: 2627: 2625: 2622: 2620: 2619: 2615: 2613: 2610: 2608: 2607:Michael Cates 2605: 2603: 2600: 2598: 2595: 2593: 2590: 2588: 2585: 2583: 2580: 2578: 2577:Gillian Bates 2575: 2573: 2570: 2568: 2565: 2564: 2562: 2558: 2554: 2550: 2549:Royal Society 2546: 2539: 2534: 2532: 2527: 2525: 2520: 2519: 2516: 2502: 2501:Avi Wigderson 2498: 2494: 2490: 2486: 2485:Jack Dongarra 2482: 2478: 2474: 2470: 2466: 2462: 2458: 2454: 2450: 2446: 2445:Yoshua Bengio 2442: 2438: 2434: 2430: 2426: 2422: 2418: 2414: 2410: 2406: 2402: 2398: 2394: 2390: 2389:Silvio Micali 2386: 2382: 2378: 2374: 2370: 2366: 2362: 2358: 2354: 2350: 2346: 2342: 2338: 2334: 2330: 2329:Frances Allen 2326: 2322: 2318: 2314: 2310: 2306: 2302: 2298: 2294: 2290: 2286: 2282: 2278: 2274: 2270: 2266: 2262: 2258: 2254: 2250: 2246: 2242: 2238: 2234: 2230: 2226: 2222: 2218: 2214: 2210: 2206: 2202: 2198: 2194: 2190: 2186: 2182: 2178: 2174: 2170: 2169:William Kahan 2166: 2162: 2158: 2154: 2150: 2146: 2145:Robert Tarjan 2142: 2141:John Hopcroft 2138: 2134: 2130: 2126: 2125:Niklaus Wirth 2122: 2118: 2114: 2110: 2106: 2102: 2098: 2097:Edgar F. Codd 2094: 2090: 2086: 2082: 2078: 2074: 2070: 2066: 2062: 2058: 2054: 2050: 2046: 2042: 2038: 2034: 2030: 2026: 2022: 2018: 2014: 2010: 2009:John McCarthy 2006: 2002: 1998: 1994: 1993:Marvin Minsky 1990: 1986: 1982: 1978: 1974: 1970: 1966: 1965: 1962: 1958: 1955: 1948: 1943: 1941: 1936: 1934: 1929: 1928: 1925: 1912: 1908: 1904: 1901: 1898: 1894: 1890: 1886: 1882: 1878: 1875: 1872: 1868: 1864: 1860: 1856: 1853: 1850: 1846: 1842: 1838: 1835: 1832: 1829: 1826: 1823: 1820: 1816: 1813: 1810: 1807: 1804: 1801: 1798: 1794: 1791: 1788: 1784: 1780: 1777: 1774: 1771: 1768: 1765: 1762: 1758: 1755: 1752: 1748: 1745: 1742: 1739: 1736: 1733: 1730: 1726: 1722: 1718: 1715: 1712: 1708: 1705: 1702: 1698: 1694: 1690: 1687: 1684: 1681: 1678: 1675: 1672: 1669: 1666: 1662: 1659: 1656: 1652: 1648: 1644: 1641: 1638: 1634: 1631: 1628: 1624: 1620: 1616: 1612: 1608: 1605: 1604: 1601: 1597: 1589: 1584: 1582: 1577: 1575: 1570: 1569: 1566: 1560: 1556: 1553: 1551: 1548: 1546: 1543: 1541: 1538: 1536: 1533: 1532: 1512: 1508: 1504: 1498: 1482: 1478: 1472: 1464: 1460: 1454: 1446: 1442: 1436: 1430: 1429:archive.today 1426: 1423: 1418: 1403: 1399: 1395: 1389: 1374: 1370: 1366: 1360: 1345: 1341: 1337: 1331: 1317: 1313: 1309: 1305: 1301: 1297: 1293: 1286: 1268: 1261: 1260: 1252: 1234: 1230: 1223: 1216: 1207: 1202: 1198: 1194: 1190: 1183: 1176:. Pittsburgh. 1175: 1168: 1153: 1149: 1145: 1141: 1137: 1133: 1129: 1125: 1118: 1109: 1105: 1101: 1097: 1093: 1087: 1079: 1075: 1069: 1061: 1054: 1045: 1037: 1031: 1023: 1019: 1015: 1011: 1004: 1000: 996: 990: 971: 965: 949: 945: 939: 924: 920: 916: 912: 908: 904: 900: 896: 892: 886: 884: 882: 880: 878: 876: 874: 869: 860: 857: 855: 852: 850: 847: 845: 842: 840: 837: 836: 830: 828: 821:Personal life 818: 816: 812: 808: 805: 801: 795: 794: 791: 788: 782: 780: 776: 773:In 1976, the 771: 769: 768:Royal Society 765: 761: 757: 753: 743: 741: 740: 734: 730: 726: 722: 717: 715: 711: 707: 703: 698: 695: 690: 688: 684: 679: 677: 673: 668: 666: 662: 658: 654: 650: 646: 642: 638: 633: 631: 627: 623: 619: 615: 611: 607: 603: 599: 594: 592: 588: 584: 579: 576: 572: 568: 563: 561: 556: 554: 550: 546: 544: 543:John McCarthy 540: 535: 533: 529: 525: 521: 516: 514: 510: 506: 496: 494: 490: 486: 482: 478: 474: 470: 466: 461: 459: 455: 451: 447: 443: 439: 435: 431: 427: 412: 410: 406: 402: 401:mathematician 394: 390: 381: 375: 372: 370: 367: 365: 362: 360: 357: 356: 354: 350: 347: 346:Alonzo Church 344: 342: 338: 331: 328: 326: 322: 319: 315: 311: 308: 304: 301: 298: 294: 291: 287: 278: 275: 270: 267: 262: 261:GĂśdel Lecture 259: 254: 251: 246: 243: 238: 235: 230: 227: 222: 221:Gibbs lecture 219: 214: 211: 206: 203: 198: 195: 194: 192: 188: 185: 181: 177: 173: 172:Pumping lemma 169: 165: 161: 157: 152: 148: 144: 140: 136: 132: 128: 124: 120: 116: 113: 109: 105: 101: 97: 92: 88: 85: 81: 78: 75: 71: 67: 63: 57:(age 93) 47: 43: 39: 34: 27: 22: 21:Michael Rabin 2834: 2815:James Cronin 2781: 2761:Morgan Sheng 2759: 2750:Stephen Pope 2732: 2725: 2718: 2624:Stewart Cole 2616: 2572:Peter Barnes 2465:Pat Hanrahan 2185:Robin Milner 2133:Richard Karp 2113:Ken Thompson 2105:Stephen Cook 2052: 2041:Allen Newell 2033:Donald Knuth 1867:Mitzenmacher 1692: 1515:. Retrieved 1506: 1497: 1485:. Retrieved 1471: 1463:the original 1453: 1445:the original 1435: 1417: 1406:. Retrieved 1397: 1388: 1377:. Retrieved 1368: 1359: 1348:. Retrieved 1339: 1330: 1319:. Retrieved 1299: 1295: 1285: 1274:. Retrieved 1258: 1251: 1240:. Retrieved 1233:the original 1228: 1215: 1196: 1192: 1182: 1173: 1167: 1156:. Retrieved 1131: 1127: 1117: 1099: 1095: 1086: 1077: 1074:Cobham, Alan 1068: 1059: 1053: 1044: 1030:cite journal 1013: 1009: 998: 989: 977:. Retrieved 964: 952:. Retrieved 938: 927:. Retrieved 905:(2): 37–42. 902: 898: 824: 800:Israel Prize 797: 792: 785: 784: 775:Turing Award 772: 749: 739:Cryptography 736: 718: 714:rolling hash 702:Richard Karp 699: 691: 680: 672:Joseph Traub 669: 634: 626:parity games 613: 608:successors ( 605: 595: 580: 564: 557: 547: 536: 517: 502: 462: 423: 409:Turing Award 388: 387: 329: 306:Institutions 289: 229:Israel Prize 213:Harvey Prize 205:Turing Award 2882:1931 births 2825:Tom Fenchel 2772:Terence Tao 2699:Paul Linden 2664:Bill Harris 2602:Peter Bruce 2597:David Boger 2377:Judea Pearl 2257:Fred Brooks 2233:Amir Pnueli 2225:Manuel Blum 2065:John Backus 1969:Alan Perlis 1503:"Tal Rabin" 1102:: 449–467. 1092:Edmonds, J. 995:Scott, Dana 674:to meet at 649:Gary Miller 622:determinacy 569:to work at 73:Nationality 2876:Categories 2644:Andre Geim 2473:Alfred Aho 2461:Ed Catmull 2453:Yann LeCun 2321:Peter Naur 2289:Adi Shamir 2285:Ron Rivest 2265:Andrew Yao 2153:John Cocke 2089:Tony Hoare 2057:Dana Scott 1741:Buchberger 1517:26 October 1408:2022-05-02 1379:2022-05-02 1350:2022-05-02 1321:2007-03-15 1276:2007-03-15 1242:2007-03-15 1158:2007-11-24 929:2010-02-04 865:References 787: [ 779:Dana Scott 528:Dana Scott 364:Dov Gabbay 253:EMET Prize 51:1931-09-01 2947:Logicians 2567:Brad Amos 2309:Vint Cerf 2217:Raj Reddy 1957:laureates 1907:Ferragina 1797:Leiserson 1683:Franaszek 1671:Karmarkar 954:14 August 827:Tal Rabin 735:teaching 618:decidable 571:Bell Labs 495:in 1956. 477:Jerusalem 446:emigrated 415:Biography 2854:Honorary 2551:elected 2313:Bob Kahn 2301:Alan Kay 2249:Jim Gray 1889:McSherry 1783:Charikar 1767:Mehlhorn 1717:Holzmann 1711:Schapire 1701:Strassen 1655:McMillan 1511:Archived 1481:Archived 1425:Archived 1402:Archived 1373:Archived 1344:Archived 1267:Archived 1152:Archived 1134:: 1–35. 1001:(1959). 979:31 March 948:Archived 923:Archived 919:16975542 833:See also 616:= 2) is 532:Kleene's 2803:Foreign 2560:Fellows 2553:in 2007 2547:of the 2545:Fellows 2479:(2020) 1911:Manzini 1903:Burrows 1849:Szegedy 1841:Gibbons 1831:Pevzner 1825:Shenker 1793:Blumofe 1761:Rogaway 1757:Bellare 1735:Brayton 1721:Kurshan 1697:Solovay 1661:Sleator 1651:Emerson 1615:Hellman 1607:Adleman 1316:5734450 1148:1995086 591:Edmonds 434:Wrocław 432:(today 430:Germany 426:Breslau 77:Israeli 66:Germany 62:Breslau 2503:(2023) 2495:(2022) 2487:(2021) 2467:(2019) 2455:(2018) 2439:(2017) 2427:(2016) 2419:(2015) 2407:(2014) 2399:(2013) 2391:(2012) 2379:(2011) 2371:(2010) 2363:(2009) 2355:(2008) 2347:(2007) 2331:(2006) 2323:(2005) 2315:(2004) 2303:(2003) 2295:(2002) 2279:(2001) 2267:(2000) 2259:(1999) 2251:(1998) 2243:(1997) 2235:(1996) 2227:(1995) 2219:(1994) 2207:(1993) 2195:(1992) 2187:(1991) 2179:(1990) 2171:(1989) 2163:(1988) 2155:(1987) 2147:(1986) 2135:(1985) 2127:(1984) 2119:(1983) 2107:(1982) 2099:(1981) 2091:(1980) 2083:(1979) 2075:(1978) 2067:(1977) 2059:(1976) 2047:(1975) 2035:(1974) 2027:(1973) 2019:(1972) 2011:(1971) 2003:(1970) 1995:(1969) 1987:(1968) 1979:(1967) 1971:(1966) 1913:(2022) 1899:(2021) 1893:Nissim 1873:(2020) 1863:Karlin 1859:Broder 1851:(2019) 1845:Matias 1833:(2018) 1827:(2017) 1821:(2016) 1811:(2015) 1805:(2014) 1803:Demmel 1799:(2013) 1789:(2012) 1779:Broder 1775:(2011) 1769:(2010) 1763:(2009) 1753:(2008) 1751:Vapnik 1747:Cortes 1743:(2007) 1737:(2006) 1731:(2005) 1729:Wolper 1713:(2004) 1707:Freund 1703:(2003) 1689:Miller 1685:(2002) 1679:(2001) 1673:(2000) 1667:(1999) 1665:Tarjan 1657:(1998) 1647:Clarke 1643:Bryant 1639:(1997) 1633:Lempel 1629:(1996) 1627:Shamir 1623:Rivest 1619:Merkle 1611:Diffie 1507:Forbes 1487:25 May 1314:  1146:  917:  708:, the 659:, and 587:Cobham 499:Career 438:Poland 393:Hebrew 334:(1957) 332:  325:Thesis 296:Fields 280:(2015) 272:(2010) 264:(2004) 256:(2004) 248:(2003) 240:(2000) 232:(1995) 224:(1985) 216:(1980) 208:(1976) 200:(1959) 190:Awards 1897:Smith 1885:Dwork 1881:Dinur 1871:Upfal 1787:Indyk 1773:Samet 1725:Vardi 1693:Rabin 1677:Myers 1312:S2CID 1270:(PDF) 1263:(PDF) 1236:(PDF) 1225:(PDF) 1144:JSTOR 1006:(PDF) 973:(PDF) 915:S2CID 645:prime 612:when 491:from 489:Ph.D. 454:Haifa 442:rabbi 436:, in 1877:Blum 1855:Azar 1837:Alon 1819:Naor 1815:Fiat 1809:Luby 1519:2022 1489:2017 1036:link 981:2017 956:2023 813:and 589:and 45:Born 1637:Ziv 1557:by 1304:doi 1201:doi 1136:doi 1132:141 1104:doi 1018:doi 907:doi 790:sic 624:of 610:S2S 604:of 593:). 520:IBM 509:MIT 156:S2S 104:PhD 91:MSc 2878:: 2475:; 2463:; 2451:; 2447:; 2435:; 2415:; 2387:; 2343:; 2339:; 2311:; 2291:; 2287:; 2275:; 2215:; 2203:; 2143:; 2115:; 2055:; 2043:; 1909:, 1905:, 1895:, 1891:, 1887:, 1883:, 1879:, 1869:, 1865:, 1861:, 1857:, 1847:, 1843:, 1839:, 1817:, 1795:, 1785:, 1781:, 1759:, 1749:, 1727:, 1723:, 1719:, 1709:, 1699:, 1695:, 1691:, 1663:, 1653:, 1649:, 1645:, 1635:, 1625:, 1621:, 1617:, 1613:, 1609:, 1509:. 1505:. 1400:. 1396:. 1371:. 1367:. 1342:. 1338:. 1310:. 1300:31 1298:. 1294:. 1227:. 1197:12 1195:. 1191:. 1150:. 1142:. 1130:. 1126:. 1100:17 1098:. 1032:}} 1028:{{ 1012:. 1008:. 997:; 921:. 913:. 903:53 901:. 897:. 872:^ 829:. 770:. 742:. 716:. 689:. 632:. 555:. 428:, 411:. 403:, 395:: 64:, 53:) 2537:e 2530:t 2523:v 1946:e 1939:t 1932:v 1587:e 1580:t 1573:v 1521:. 1491:. 1411:. 1382:. 1353:. 1324:. 1306:: 1279:. 1245:. 1209:. 1203:: 1161:. 1138:: 1112:) 1110:. 1106:: 1038:) 1020:: 1014:3 983:. 958:. 932:. 909:: 614:n 606:n 391:( 106:) 102:( 93:) 89:( 49:( 23:.

Index

Michael Rabin

Breslau
Germany
Israeli
Hebrew University of Jerusalem
MSc
University of Pennsylvania
Princeton University
PhD
Rabin cryptosystem
Rabin fingerprint
Rabin signature algorithm
Rabin–Karp string search algorithm
Rabin–Scott powerset construction
Adian–Rabin theorem
Berlekamp–Rabin algorithm
Miller–Rabin primality test
Hyper-encryption
Infinite-tree automaton
S2S
Nondeterministic finite automata
Oblivious transfer
Probabilistic automaton
Pumping lemma
Randomized algorithms
Two-way finite automaton
Verifiable random function
Weizmann Prize
Turing Award

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

↑