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» On a generalization of Stickelberger's Theorem
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140
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TYPES
1994
Springer
15 years 6 months ago
A Concrete Final Coalgebra Theorem for ZF Set Theory
A special final coalgebra theorem, in the style of Aczel's [2], is proved within standard Zermelo-Fraenkel set theory. Aczel's AntiFoundation Axiom is replaced by a varia...
Lawrence C. Paulson
CORR
2008
Springer
129views Education» more  CORR 2008»
15 years 2 months ago
A polytime proof of correctness of the Rabin-Miller algorithm from Fermat's little theorem
Although a deterministic polytime algorithm for primality testing is now known ([4]), the Rabin-Miller randomized test of primality continues being the most efficient and widely u...
Grzegorz Herman, Michael Soltys
ICFP
2005
ACM
16 years 1 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
EVOW
2008
Springer
15 years 3 months ago
A Study of Some Implications of the No Free Lunch Theorem
We introduce the concept of "minimal" search algorithm for a set of functions to optimize. We investigate the structure of closed under permutation (c.u.p.) sets and we c...
Andrea Valsecchi, Leonardo Vanneschi
135
Voted
ECOOP
2006
Springer
15 years 5 months ago
Variance and Generalized Constraints for C# Generics
Abstract. Generic types in C behave invariantly with respect to subtyping. We propose a system of type-safe variance for C that supports the declaration of covariant and contravari...
Burak Emir, Andrew Kennedy, Claudio V. Russo, Dach...