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» An Algebraic Proof of Deuber's Theorem
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CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 8 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
MKM
2004
Springer
14 years 1 months ago
Flexible Encoding of Mathematics on the Computer
This paper reports on refinements and extensions to the MathLang framework that add substantial support for natural language text. We show how the extended framework supports mult...
Fairouz Kamareddine, Manuel Maarek, J. B. Wells
PLPV
2011
ACM
12 years 11 months ago
Local actions for a curry-style operational semantics
Soundness proofs of program logics such as Hoare logics and type systems are often made easier by decorating the operational semantics with information that is useful in the proof...
Gordon Stewart, Andrew W. Appel
CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 8 months ago
Verified Real Number Calculations: A Library for Interval Arithmetic
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
Marc Daumas, David Lester, César Muñ...
ENTCS
2008
125views more  ENTCS 2008»
13 years 8 months ago
Can Refinement be Automated?
We automatically verify Back's atomicity refinement law and a classical data refinement law for action systems. Our novel approach mechanises a refinement calculus based on K...
Peter Höfner, Georg Struth