Rabin, Michael Oser 1931
Overview
Works:  20 works in 29 publications in 2 languages and 368 library holdings 

Roles:  Author 
Classifications:  QA1, 629.892 
Publication Timeline
.
Most widely held works by
Michael Oser Rabin
Automata on infinite objects and Church's problem by
Michael Oser Rabin(
Book
)
5 editions published in 1972 in English and held by 299 WorldCat member libraries worldwide
5 editions published in 1972 in English and held by 299 WorldCat member libraries worldwide
Digitalized signatures and publickey functions as intractable as factorization by
Michael Oser Rabin(
Book
)
2 editions published in 1979 in English and held by 12 WorldCat member libraries worldwide
We introduce a new class of publickey functions involving a number n = p.q having two large prime factors. As usual, the key n is public, while p and q are the private key used by the issuer for production of signatures and function inversion. These functions can be used for all the applications involving publickey functions, including digitalized signatures. We prove that for any given n, if we can invert the function y = E sub n(x) for even a small percentage of the values y then we can factor n. Thus as long as factorization of large numbers remains practically intractable, for appropriately chosen keys not even a small percentage of signatures are forgerable. Breaking the RSA function is at most as hard as factorization, but is not known to be equivalent to factorization even in the weak sense that ability to invert all function values entails ability to factor the key. Computation time for these functions, i.e., signature verification, is several hundred times faster than for the RSA scheme. Inversion time, using the private key, is comparable. The almosteverywhere intractability of signatureforgery for our functions (on the assumption that factoring is intractable) is of great practical significance and seems to be the first proved result of this kind
2 editions published in 1979 in English and held by 12 WorldCat member libraries worldwide
We introduce a new class of publickey functions involving a number n = p.q having two large prime factors. As usual, the key n is public, while p and q are the private key used by the issuer for production of signatures and function inversion. These functions can be used for all the applications involving publickey functions, including digitalized signatures. We prove that for any given n, if we can invert the function y = E sub n(x) for even a small percentage of the values y then we can factor n. Thus as long as factorization of large numbers remains practically intractable, for appropriately chosen keys not even a small percentage of signatures are forgerable. Breaking the RSA function is at most as hard as factorization, but is not known to be equivalent to factorization even in the weak sense that ability to invert all function values entails ability to factor the key. Computation time for these functions, i.e., signature verification, is several hundred times faster than for the RSA scheme. Inversion time, using the private key, is comparable. The almosteverywhere intractability of signatureforgery for our functions (on the assumption that factoring is intractable) is of great practical significance and seems to be the first proved result of this kind
Probabilistic algorithms in finite fields by
Michael Oser Rabin(
Book
)
2 editions published in 1979 in English and held by 12 WorldCat member libraries worldwide
2 editions published in 1979 in English and held by 12 WorldCat member libraries worldwide
Complexity of computations by
Michael Oser Rabin(
Recording
)
1 edition published in 1976 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1976 in English and held by 6 WorldCat member libraries worldwide
Superexponential complexity of Presburger arithmetic by
Michael J Fischer(
Book
)
1 edition published in 1974 in English and held by 5 WorldCat member libraries worldwide
Lower bounds are established on the computational complexity of the decision problem and on the inherent lengths of proofs for two classical decidable theories of logic: the first order theory of the real numbers under addition, and Presburger arithmetic  the first order theory of addition on the natural numbers. There is a fixed constant c> 0 such that for every (nondeterministic) decision procedure for determining the truth of sentences of real addition and for all sufficiently large n, there is a sentence of length n for which the decision procedure runs for more than (2 sup (cn)) steps. In the case of Presburger arithmetic, the corresponding bound is 2 sup (2 sup (cn)). These bounds apply also to the minimal lengths of proofs for any complete axiomatization in which the axioms are easily recognized. (Author)
1 edition published in 1974 in English and held by 5 WorldCat member libraries worldwide
Lower bounds are established on the computational complexity of the decision problem and on the inherent lengths of proofs for two classical decidable theories of logic: the first order theory of the real numbers under addition, and Presburger arithmetic  the first order theory of addition on the natural numbers. There is a fixed constant c> 0 such that for every (nondeterministic) decision procedure for determining the truth of sentences of real addition and for all sufficiently large n, there is a sentence of length n for which the decision procedure runs for more than (2 sup (cn)) steps. In the case of Presburger arithmetic, the corresponding bound is 2 sup (2 sup (cn)). These bounds apply also to the minimal lengths of proofs for any complete axiomatization in which the axioms are easily recognized. (Author)
Efficient dispersal of information for security load balancing and fault tolerance by
Michael Oser Rabin(
Book
)
1 edition published in 1987 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 4 WorldCat member libraries worldwide
ʻAl Profesor Avraham Halevi Frenkel zal; devarim sheamru lizikhro B. Mazar, A.Y.Y. Poznanski veM. Rabin, beyom 7 beKislev
726 (1.12.65) by
Benjamin Mazar(
Book
)
1 edition published in 1965 in Hebrew and held by 4 WorldCat member libraries worldwide
1 edition published in 1965 in Hebrew and held by 4 WorldCat member libraries worldwide
ʻAl Profesor Avraham Halevi Frenkel by
Benjamin Mazar(
Book
)
2 editions published in 1965 in Hebrew and held by 3 WorldCat member libraries worldwide
2 editions published in 1965 in Hebrew and held by 3 WorldCat member libraries worldwide
ʻAl Profesor Avraham Halevi Frenḳel zal by
Benjamin Mazar(
Book
)
1 edition published in 1965 in Hebrew and held by 3 WorldCat member libraries worldwide
1 edition published in 1965 in Hebrew and held by 3 WorldCat member libraries worldwide
Degree of difficulty of computing a function and a partial ordering of recursive sets by
Michael Oser Rabin(
Book
)
1 edition published in 1960 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1960 in English and held by 3 WorldCat member libraries worldwide
Maximum matchings in general graphs through randomization by
Michael Oser Rabin(
Book
)
1 edition published in 1984 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1984 in English and held by 3 WorldCat member libraries worldwide
An integrated toolkit for operating system security by
Michael Oser Rabin(
Book
)
2 editions published between 1987 and 1988 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1987 and 1988 in English and held by 3 WorldCat member libraries worldwide
ʻAl Avraham Halevi Frenḳel zal : devarim sheamru lezikhro B. mazar, A.Y.Y. Poznansḳi, M. Rabin beyom ... (1.2.65) by
Benjamin Mazar(
Book
)
2 editions published in 1965 in Hebrew and held by 2 WorldCat member libraries worldwide
2 editions published in 1965 in Hebrew and held by 2 WorldCat member libraries worldwide
ʻAl Avraham Halevi Frenḳel : devarim sheamru lezikhro B. mazar, A.Y.Y. Poznansḳi, M. Rabin beyom ... (1.2.65) by
Benjamin Mazar(
Book
)
1 edition published in 1965 in Hebrew and held by 2 WorldCat member libraries worldwide
1 edition published in 1965 in Hebrew and held by 2 WorldCat member libraries worldwide
Decidability of secondorder theories and automata on infinite trees by
Michael Oser Rabin(
Book
)
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
Essays on the foundation of mathematics : dedicated to A A Fraenkel on his seventieth anniversary(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
Recursive unsolvability of group theoretic problems by
Michael Oser Rabin(
)
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
How computers solve impossible problems through unpredictable behavior by
Michael Oser Rabin(
Visual
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
Efficient dispersal of information for security load balancing and fault tolerance(
Visual
)
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
Discussion of an Information Dispersal Algorithm (IDA) used to facilitate secure and reliable storage of information in computer networks and on single disks, efficient transmission of information in networks, and communications between processors in parallel computers
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
Discussion of an Information Dispersal Algorithm (IDA) used to facilitate secure and reliable storage of information in computer networks and on single disks, efficient transmission of information in networks, and communications between processors in parallel computers
Transaction protection by beacons by
Michael Oser Rabin(
Book
)
1 edition published in 1981 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Poznanski, Edward Isaac Jacob 1901
 Fraenkel, Abraham Adolf 18911965
 Mazar, Benjamin 19061995 Author
 Association for Computing Machinery
 Fischer, Michael J. Author
 Tygar, Justin Douglas
 Vazirani, Vijay V.
 CarnegieMellon University Computer Science Department
 Harvard University Science Center
 BarHillel, Yehoshua
Associated Subjects
Algorithms Combinatorial analysis Computational complexity Computer programming Computers ComputersAccess control ComputersAccess controlPasswords Data protection Electronic data processing Electronic mail systems Faulttolerant computing Finite fields (Algebra) Fraenkel, Abraham Adolf, Functions Group theory Logic, Symbolic and mathematical Machine theory Mathematics Public key cryptography Random graphs Recursive functions Security systems Statistical decision
Alternative Names
Majkl O. Rabin
Michael O. Rabin Israeli computer scientist
Michael O. Rabin israelischer Informatiker
Michael O. Rabin izraelski informatyk
Michael Oser Rabin cientfico de la computacin de Israel
Michael Rabin informaticien isralien
Michael Rabin informatico israeliano
Rabiyn Miykaʾel 1931....
Мајкл О. Рабин
Рабин, Михаэль Ошер
מיכאל רבין
רבין מיכאל 1931....
רבין, מיכאל עוזר בן ישראל אברהם
مایکل رابین
মাইকেল র্যাবিন
마이클 라빈
マイケル・ラビン
米高拉賓
迈克尔拉宾
麥可拉賓
Languages