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On the power of probabilistic choice in synchronous parallel computations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-09519-5_73openalex-snapshot
Probabilistic algorithms for sparse polynomials
inferredcites →https://doi.org/10.1007/3-540-09526-8_5openalex-snapshot
Fast probabilistic algorithms
inferredcites →https://doi.org/10.1016/0016-0032(58)90688-4openalex-snapshot
An introduction to probability theory and its applications
inferredcites →https://doi.org/10.1016/0020-0190(78)90079-0openalex-snapshot
An improved parallel processor bound in fast matrix inversion
inferredcites →https://doi.org/10.1063/1.3062516openalex-snapshot
An Introduction to Probability Theory and Its Applications
inferredcites →https://doi.org/10.1090/s0025-5718-1970-0276200-xopenalex-snapshot
Factoring polynomials over large finite fields
inferredcites →https://doi.org/10.1090/s0025-5718-1983-0717715-6openalex-snapshot
Irreducibility testing and factorization of polynomials
inferredcites →https://doi.org/10.1109/9780470544242.ch54openalex-snapshot
Computability by Probabilistic Machines
inferredcites →https://doi.org/10.1109/sfcs.1975.23openalex-snapshot
On time versus space and related problems
inferredcites →https://doi.org/10.1109/sfcs.1977.18openalex-snapshot
On taking roots in finite fields
inferredcites →https://doi.org/10.1109/sfcs.1978.37openalex-snapshot
Two theorems on random polynomial time
inferredcites →https://doi.org/10.1109/sfcs.1979.34openalex-snapshot
Random walks, universal traversal sequences, and the complexity of maze problems
inferredcites →https://doi.org/10.1109/sfcs.1980.2openalex-snapshot
A distributed abstract data type implemented by a probabilistic communication scheme
inferredcites →https://doi.org/10.1109/sfcs.1980.22openalex-snapshot
Hardware complexity and parallel computation
inferredcites →https://doi.org/10.1109/sfcs.1980.26openalex-snapshot
N-process synchronization by 4.log2N-valued shared variable
inferredcites →https://doi.org/10.1109/sfcs.1980.28openalex-snapshot
On distinguishing prime numbers from composite numbers
inferredcites →https://doi.org/10.1109/sfcs.1981.20openalex-snapshot
Irreducibility testing and factorization of polynomials
inferredcites →https://doi.org/10.1109/sfcs.1981.6openalex-snapshot
A fast probabilistic parallel sorting algorithm
inferredcites →https://doi.org/10.1109/sfcs.1982.17openalex-snapshot
Fast parallel matrix and GCD computations
inferredcites →https://doi.org/10.1109/t-c.1971.223205openalex-snapshot
Parallel Processing with the Perfect Shuffle
inferredcites →https://doi.org/10.1137/0202019openalex-snapshot
An $n^{5/2} $ Algorithm for Maximum Matchings in Bipartite Graphs
inferredcites →https://doi.org/10.1137/0205040openalex-snapshot
Fast Parallel Matrix Inversion Algorithms
inferredcites →https://doi.org/10.1137/0206006openalex-snapshot
A Fast Monte-Carlo Test for Primality
inferredcites →https://doi.org/10.1137/0206049openalex-snapshot
Computational Complexity of Probabilistic Turing Machines
inferredcites →https://doi.org/10.1137/0209024openalex-snapshot
Probabilistic Algorithms in Finite Fields
inferredcites →https://doi.org/10.1137/0210008openalex-snapshot
Relative to a Random Oracle A , ${\bf P}^A \ne {\bf NP}^A \ne \text{co-}{\bf NP}^A $ with Probability 1
inferredcites →https://doi.org/10.1137/0211027openalex-snapshot
A Scheme for Fast Parallel Communication
inferredcites →https://doi.org/10.1145/322217.322225openalex-snapshot
Fast Probabilistic Algorithms for Verification of Polynomial Identities
inferredcites →https://doi.org/10.1145/322358.322373openalex-snapshot
Probabilistic Algorithms for Deciding Equivalence of Straight-Line Programs
inferredcites →https://doi.org/10.1145/359138.359141openalex-snapshot
Computing connected components on parallel computers
inferredcites →https://doi.org/10.1145/567532.567547openalex-snapshot
On the andvantages of free choice
inferredcites →https://doi.org/10.1145/582153.582159openalex-snapshot
Unbounded speed variability in distributed communication systems
inferredcites →https://doi.org/10.1145/800070.802193openalex-snapshot
Symmetric complementation
inferredcites →https://doi.org/10.1145/800076.802467openalex-snapshot
Distributed algorithms for synchronizing interprocess communication within real time
inferredcites →https://doi.org/10.1145/800105.803405openalex-snapshot
Reducibility, randomness, and intractibility (Abstract)
inferredcites →https://doi.org/10.1145/800113.803631openalex-snapshot
Parallel algorithms for the transitive closure and the connected component problems
inferredcites →https://doi.org/10.1145/800133.804336openalex-snapshot
A unified approach to models of synchronous parallel machines
inferredcites →https://doi.org/10.1145/800133.804339openalex-snapshot
Parallelism in random access machines
inferredcites →https://doi.org/10.1214/aoms/1177729330openalex-snapshot
A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
inferredcites →https://doi.org/10.1515/9781400882618-010openalex-snapshot
Computability by Probabilistic Machines
inferredcites →https://doi.org/10.2307/2006975openalex-snapshot
On Distinguishing Prime Numbers from Composite Numbers
inferredcites →https://doi.org/10.2307/2342907openalex-snapshot
An Introduction to Probability Theory and Its Applications.
inferredcites →https://doi.org/10.5169/seals-51742openalex-snapshot
TOWARDS A COMPLEXITY THEORY OF SYNCHRONOUS PARALLEL COMPUTATION

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-16078-7_66openalex-snapshot
Input sensitive, optimal parallel randomized algorithms for addition and identification
inferred← citeshttps://doi.org/10.1007/3-540-18099-0_24openalex-snapshot
Deterministic simulation of idealized parallel computers on more realistic ones
inferred← citeshttps://doi.org/10.1007/978-3-662-39650-6_7openalex-snapshot
inferred← citeshttps://doi.org/10.1007/bf01758779openalex-snapshot
Expected parallel time and sequential space complexity of graph and digraph problems
inferred← citeshttps://doi.org/10.1007/bf01874396openalex-snapshot
Randomized algorithms: An annotated bibliography
inferred← citeshttps://doi.org/10.1007/bfb0016285openalex-snapshot
The parallel complexity of deadlock detection
inferred← citeshttps://doi.org/10.1007/bfb0018256openalex-snapshot
Non deterministic machines and their generalizations
inferred← citeshttps://doi.org/10.1016/0020-0190(85)90024-9openalex-snapshot
Depth-first search is inherently sequential
inferred← citeshttps://doi.org/10.1016/0022-0000(85)90011-xopenalex-snapshot
Speedups of deterministic machines by synchronous parallel machines
inferred← citeshttps://doi.org/10.1016/0304-3975(87)90084-3openalex-snapshot
The parallel complexity of deadlock detection
inferred← citeshttps://doi.org/10.1016/0890-5401(88)90039-9openalex-snapshot
Optimal parallel randomized algorithms for sparse addition and identification
inferred← citeshttps://doi.org/10.1016/b978-0-408-02938-4.50016-4openalex-snapshot
Key references in distributed computer systems 1959–1989
inferred← citeshttps://doi.org/10.1109/sfcs.1982.84openalex-snapshot
Parallel time O(log N) acceptance of deterministic CFLs
inferred← citeshttps://doi.org/10.1109/sfcs.1985.43openalex-snapshot
Parallel tree contraction and its application
inferred← citeshttps://doi.org/10.1109/sfcs.1985.9openalex-snapshot
An optimal parallel algorithm for integer sorting
inferred← citeshttps://doi.org/10.1137/0216053openalex-snapshot
Deterministic Simulation of Idealized Parallel Computers on More Realistic Ones
inferred← citeshttps://doi.org/10.1137/0218041openalex-snapshot
Optimal and Sublogarithmic Time Randomized Parallel Sorting Algorithms
inferred← citeshttps://doi.org/10.1145/62.322436openalex-snapshot
Symmetric Complementation
inferred← citeshttps://doi.org/10.1145/800061.808763openalex-snapshot
Speedups of deterministic machines by synchronous parallel machines
inferred← citeshttps://doi.org/10.1145/800070.802193openalex-snapshot
Symmetric complementation
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