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» Bounded Arithmetic and Descriptive Complexity
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MP
2008
135views more  MP 2008»
13 years 7 months ago
A path to the Arrow-Debreu competitive market equilibrium
: We present polynomial-time interior-point algorithms for solving the Fisher and Arrow-Debreu competitive market equilibrium problems with linear utilities and n players. Both of ...
Yinyu Ye
STACS
1999
Springer
13 years 11 months ago
Lower Bounds for Dynamic Algebraic Problems
Abstract. We consider dynamic evaluation of algebraic functions (matrix multiplication, determinant, convolution, Fourier transform, etc.) in the model of Reif and Tate; i.e., if f...
Gudmund Skovbjerg Frandsen, Johan P. Hansen, Peter...
STOC
1989
ACM
96views Algorithms» more  STOC 1989»
13 years 11 months ago
Optimal Size Integer Division Circuits
Division is a fundamental problem for arithmetic and algebraic computation. This paper describes Boolean circuits of bounded fan-in for integer division  nding reciprocals that...
John H. Reif, Stephen R. Tate
FCT
2003
Springer
14 years 18 days ago
On a Logical Approach to Estimating Computational Complexity of Potentially Intractable Problems
Abstract. In the paper we present a purely logical approach to estimating computational complexity of potentially intractable problems. The approach is based on descriptive complex...
Andrzej Szalas
CADE
2012
Springer
11 years 9 months ago
Taming Past LTL and Flat Counter Systems
Abstract. Reachability and LTL model-checking problems for flat counter systems are known to be decidable but whereas the reachability problem can be shown in NP, the best known c...
Stéphane Demri, Amit Kumar Dhar, Arnaud San...