Journal of the ACM (JACM)
Journal of the ACM (JACM)
Parallel and Nondeterministic Time Complexity Classes (Preliminary Report)
Proceedings of the Fifth Colloquium on Automata, Languages and Programming
On the Power of Probabilistic Choice in Synchronous Parallel Computations
Proceedings of the 9th Colloquium on Automata, Languages and Programming
A unified approach to models of synchronous parallel machines
STOC '78 Proceedings of the tenth annual ACM symposium on Theory of computing
Parallelism in random access machines
STOC '78 Proceedings of the tenth annual ACM symposium on Theory of computing
Proceedings of the 4th conference on Innovations in Theoretical Computer Science
Hi-index | 0.00 |
This paper presents the new speedups DTIME(T) @@@@ ATIME(T/log T) and DTIME(T) @@@@ PRAM-Time(@@@@T). These improve the results of Hopcroft, Paul, and Valiant that DTIME(T) @@@@ DSPACE(T/log T), and of Paul and Reischuk that DTIME(T) @@@@ ATIME(T log log T/log T). The new approach unifies not only these two previous results, but also the result of Paterson and Valiant that Size(T) @@@@ Depth(O(T/log T)).