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» Finite Trees as Ordinals
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CIE
2005
Springer
14 years 4 months ago
Finite Trees as Ordinals
Herman Ruge Jervell
BSL
2005
74views more  BSL 2005»
13 years 10 months ago
Turing computations on ordinals
We define the notion of ordinal computability by generalizing standard Turing computability on tapes of length to computations on tapes of arbitrary ordinal length. We show that a ...
Peter Koepke
AIML
2008
14 years 9 days ago
On axiomatising products of Kripke frames, part II
We generalise some results of [7, 5] and show that if L is an -modal logic (for some ordinal 3) such that (i) L contains the product logic K and (ii) the product of -many trees o...
Agi Kurucz
TALG
2008
81views more  TALG 2008»
13 years 10 months ago
Ordinal embeddings of minimum relaxation: General properties, trees, and ultrametrics
We introduce a new notion of embedding, called minimum-relaxation ordinal embedding, parallel to the standard notion of minimum-distortion (metric) embedding. In an ordinal embedd...
Noga Alon, Mihai Badoiu, Erik D. Demaine, Martin F...
ALGORITHMICA
1999
99views more  ALGORITHMICA 1999»
13 years 10 months ago
Evolutionary Trees and Ordinal Assertions
Sequence data for a group of species is often summarized by a distance matrix M where M[s, t] is the dissimilarity between the sequences of species s and t. An ordinal assertion is...
Paul E. Kearney, Ryan Hayward, Henk Meijer