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 ...
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...
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...
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...