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The Uniform Minimum-Ones 2SAT Problem and its Application to Haplotype Classification

Hans-Joachim Böckenhauer, Michal Forišek, Ján Oravec, Björn Steffen, Kathleen Steinhöfel, Monika Steinová (2010)

RAIRO - Theoretical Informatics and Applications

Analyzing genomic data for finding those gene variations which are responsible for hereditary diseases is one of the great challenges in modern bioinformatics. In many living beings (including the human), every gene is present in two copies, inherited from the two parents, the so-called haplotypes. In this paper, we propose a simple combinatorial model for classifying the set of haplotypes in a population according to their responsibility for a certain genetic disease. This model is based...

The μ-calculus alternation-depth hierarchy is strict on binary trees

André Arnold (2010)

RAIRO - Theoretical Informatics and Applications

In this paper we give a simple proof that the alternation-depth hierarchy of the μ-calculus for binary trees is strict. The witnesses for this strictness are the automata that determine whether there is a winning strategy for the parity game played on a tree.

Théorie des magmoïdes

A. Arnold, M. Dauchet (1979)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Théorie des magmoïdes (I)

A. Arnold, M. Dauchet (1978)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Theory of classification : a survey of some recent advances

Stéphane Boucheron, Olivier Bousquet, Gábor Lugosi (2005)

ESAIM: Probability and Statistics

The last few years have witnessed important new developments in the theory and practice of pattern classification. We intend to survey some of the main new ideas that have led to these recent results.

Theory of Classification: a Survey of Some Recent Advances

Stéphane Boucheron, Olivier Bousquet, Gábor Lugosi (2010)

ESAIM: Probability and Statistics

The last few years have witnessed important new developments in the theory and practice of pattern classification. We intend to survey some of the main new ideas that have led to these recent results.

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