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» An Algebraic Proof of Deuber's Theorem
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CSL
2010
Springer
13 years 9 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
TCS
2008
13 years 8 months ago
Another proof of Soittola's theorem
Soittola's theorem characterizes R+- or N-rational formal power series in one variable among the rational formal power series with nonnegative coefficients. We present here a...
Jean Berstel, Christophe Reutenauer
TPHOL
2003
IEEE
14 years 1 months ago
Program Extraction from Large Proof Developments
Abstract. It is well known that mathematical proofs often contain (abstract) algorithms, but although these algorithms can be understood by a human, it still takes a lot of time an...
Luís Cruz-Filipe, Bas Spitters
APAL
2005
154views more  APAL 2005»
13 years 8 months ago
A Sahlqvist theorem for distributive modal logic
In this paper we consider distributive modal logic, a setting in which we may add modalities, such as classical types of modalities as well as weak forms of negation, to the fragm...
Mai Gehrke, Hideo Nagahashi, Yde Venema
ENTCS
2006
113views more  ENTCS 2006»
13 years 8 months ago
A Large-Scale Experiment in Executing Extracted Programs
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...
Luís Cruz-Filipe, Pierre Letouzey