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» On a Generalization of the Stone-Weierstrass Theorem
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IGPL
2008
124views more  IGPL 2008»
15 years 5 months ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli
CCA
2000
Springer
15 years 10 months ago
A Computable Spectral Theorem
Computing the spectral decomposition of a normal matrix is among the most frequent tasks to numerical mathematics. A vast range of methods are employed to do so, but all of them su...
Martin Ziegler, Vasco Brattka
ICFP
2008
ACM
16 years 6 months ago
Pattern minimization problems over recursive data types
In the context of program verification in an interactive theorem prover, we study the problem of transforming function definitions with ML-style (possibly overlapping) pattern mat...
Alexander Krauss
ICFP
2005
ACM
16 years 6 months ago
Combining programming with theorem proving
Applied Type System (ATS) is recently proposed as a framework for designing and formalizing (advanced) type systems in support of practical programming. In ATS, the definition of ...
Chiyan Chen, Hongwei Xi
WOSP
2010
ACM
16 years 27 days ago
A general result for deriving product-form solutions in markovian models
In this paper we provide a general method to derive productform solutions for stochastic models. We take inspiration from the Reversed Compound Agent Theorem [14] and we provide a...
Andrea Marin, Maria Grazia Vigliotti