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» Third-Order Computation and Bounded Arithmetic
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CADE
2012
Springer
11 years 7 months ago
A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic
Abstract. This paper describes a novel decision procedure for quantifierfree linear integer arithmetic. Standard techniques usually relax the initial problem to the rational domai...
François Bobot, Sylvain Conchon, Evelyne Co...
FOCS
2007
IEEE
13 years 11 months ago
A Lower Bound for the Size of Syntactically Multilinear Arithmetic Circuits
We construct an explicit polynomial f(x1, . . . , xn), with coefficients in {0, 1}, such that the size of any syntactically multilinear arithmetic circuit computing f is at least ...
Ran Raz, Amir Shpilka, Amir Yehudayoff
CIE
2007
Springer
13 years 4 months ago
On Rules and Parameter Free Systems in Bounded Arithmetic
Andrés Cordón-Franco, Alejandro Fern...
DAGSTUHL
2008
13 years 6 months ago
Complete Interval Arithmetic and its Implementation
: Let IIR be the set of closed and bounded intervals of real numbers. Arithmetic in IIR can be defined via the power set IPIR of real numbers. If divisors containing zero are exclu...
Ulrich W. Kulisch
LICS
2008
IEEE
13 years 11 months ago
On the Computational Complexity of Cut-Reduction
Using appropriate notation systems for proofs, cutreduction can often be rendered feasible on these notations. Explicit bounds can be given. Developing a suitable notation system ...
Klaus Aehlig, Arnold Beckmann