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» Real Number Calculations and Theorem Proving
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TPHOL
2005
IEEE
13 years 10 months ago
Real Number Calculations and Theorem Proving
Wouldn’t it be nice to be able to conveniently use ordinary real number expressions within proof assistants? In this paper we outline how this can be done within a theorem provin...
César Muñoz, David Lester
CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 4 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...
JSYML
1998
51views more  JSYML 1998»
13 years 4 months ago
The Algebraic Sum of Sets of Real Numbers with Strong Measure Zero Sets
We prove the following theorems:
Andrej Nowik, Marion Scheepers, Tomasz Weiss
SIAMCOMP
2008
72views more  SIAMCOMP 2008»
13 years 4 months ago
Plottable Real Number Functions and the Computable Graph Theorem
The Graph Theorem of classical recursion theory states that a total function on the natural numbers is computable, if and only if its graph is recursive. It is known that this res...
Vasco Brattka
CADE
2009
Springer
14 years 5 months ago
A Generalization of Semenov's Theorem to Automata over Real Numbers
Abstract This work studies the properties of finite automata recognizing vectors with real components, encoded positionally in a given integer numeration base. Such automata are us...
Bernard Boigelot, Jérôme Leroux, Juli...