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We show that if the Boolean hierarchy collapses to level k, then the polynomial hierarchy collapses to BH3(k), where BH3(k) is the kth level of the Boolean hierarchy over P 2 . Th...
d Abstract) Eric Allender Christopher Wilson Department of Computer Science Department of Computer Rutgers University and Information Science New Brunswick, NJ 08903, USA Universit...
For a monoid G, the iterated multiplication problem is the computation of the product of n elements from G. By re ning known completeness arguments, we show that as G varies over ...
Kadin [6] showed that if the Polynomial Hierarchy (PH) has infinitely many levels, then for all k, PSAT[k] ⊂ PSAT[k+1]. This paper extends Kadin’s technique and shows that a p...
This paper reveals a duality between constructions of two basic cryptographic primitives, pseudo-random string generators and one-way hash functions. Applying the duality, we pres...