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» Monotonicity in Calculational Proofs
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CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 7 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...
SAGT
2009
Springer
177views Game Theory» more  SAGT 2009»
14 years 1 months ago
Characterizing Incentive Compatibility for Convex Valuations
We study implementability in dominant strategies of social choice functions when sets of types are multi-dimensional and convex, sets of outcomes are arbitrary, valuations for outc...
André Berger, Rudolf Müller, Seyed Hos...
TPHOL
2005
IEEE
14 years 28 days 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
MFCS
2005
Springer
14 years 25 days ago
Complexity of DNF and Isomorphism of Monotone Formulas
We investigate the complexity of finding prime implicants and minimal equivalent DNFs for Boolean formulas, and of testing equivalence and isomorphism of monotone formulas. For DN...
Judy Goldsmith, Matthias Hagen, Martin Mundhenk
MST
2008
101views more  MST 2008»
13 years 7 months ago
Realizability interpretation of proofs in constructive analysis
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
Helmut Schwichtenberg