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» Nepomnjascij's Theorem and Independence Proofs in Bounded Ar...
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CSR
2006
Springer
13 years 11 months ago
Logic of Proofs for Bounded Arithmetic
The logic of proofs is known to be complete for the semantics of proofs in PA. In this paper we present a refinement of this theorem, we will show that we can assure that all the ...
Evan Goris
LCC
1994
209views Algorithms» more  LCC 1994»
13 years 11 months ago
On Herbrand's Theorem
We firstly survey several forms of Herbrand's theorem. What is commonly called "Herbrand's theorem" in many textbooks is actually a very simple form of Herbrand...
Samuel R. Buss
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
13 years 12 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
AML
2007
87views more  AML 2007»
13 years 7 months ago
Preservation theorems for bounded formulas
In this paper we naturally define when a theory has bounded quantifier elimination, or is bounded model complete. We give several equivalent conditions for a theory to have each...
Morteza Moniri