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» Proving Bounds on Real-Valued Functions with Computations
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STACS
2007
Springer
15 years 4 months ago
A New Rank Technique for Formula Size Lower Bounds
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
Troy Lee
QCQC
1998
Springer
115views Communications» more  QCQC 1998»
15 years 2 months ago
Quantum Entanglement and the Communication Complexity of the Inner Product Function
Abstract. We consider the communication complexity of the binary inner product function in a variation of the two-party scenario where the parties have an a priori supply of partic...
Richard Cleve, Wim van Dam, Michael Nielsen, Alain...
CADE
1992
Springer
15 years 2 months ago
Polynomial Interpretations and the Complexity of Algorithms
The ability to use a polynomial iterpretation to prove termination of a rewrite system naturally prompts the question as to what restriction on complexity this imposes. The main r...
Adam Cichon, Pierre Lescanne
ENTCS
2002
61views more  ENTCS 2002»
14 years 9 months ago
Effectively Absolute Continuity and Effective Jordan Decomposability
Classically, any absolute continuous real function is of bounded variation and hence can always be expressed as a difference of two increasing continuous functions (socalled Jorda...
Xizhong Zheng, Robert Rettinger, Burchard von Brau...
JACM
2002
122views more  JACM 2002»
14 years 9 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer