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MST
2010
83views more  MST 2010»
13 years 9 months ago
Does the Polynomial Hierarchy Collapse if Onto Functions are Invertible?
The class TFNP, defined by Megiddo and Papadimitriou, consists of multivalued functions with values that are polynomially verifiable and guaranteed to exist. Do we have evidence ...
Harry Buhrman, Lance Fortnow, Michal Koucký...
CC
1998
Springer
100views System Software» more  CC 1998»
13 years 11 months ago
Symmetric Alternation Captures BPP
We introduce the natural class SP 2 containing those languages which may be expressed in terms of two symmetric quanti ers. This class lies between P 2 and P 2 P 2 and naturall...
Alexander Russell, Ravi Sundaram
CORR
2010
Springer
185views Education» more  CORR 2010»
13 years 11 months ago
Pseudorandom generators and the BQP vs. PH problem
It is a longstanding open problem to devise an oracle relative to which BQP does not lie in the Polynomial-Time Hierarchy (PH). We advance a natural conjecture about the capacity ...
Bill Fefferman, Christopher Umans
FOCS
1990
IEEE
14 years 3 months ago
Algebraic Methods for Interactive Proof Systems
A new algebraic technique for the construction of interactive proof systems is presented. Our technique is used to prove that every language in the polynomial-time hierarchy has an...
Carsten Lund, Lance Fortnow, Howard J. Karloff, No...
FCT
2001
Springer
14 years 3 months ago
Relating Automata-Theoretic Hierarchies to Complexity-Theoretic Hierarchies
We show that some natural refinements of the Straubing and Brzozowski hierarchies correspond (via the so called leaf-languages) step by step to similar refinements of the polynom...
Victor L. Selivanov
CSR
2007
Springer
14 years 5 months ago
Inverting Onto Functions and Polynomial Hierarchy
The class TFNP, defined by Megiddo and Papadimitriou, consists of multivalued functions with values that are polynomially verifiable and guaranteed to exist. Do we have evidence ...
Harry Buhrman, Lance Fortnow, Michal Koucký...