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» An Infinite Antichain of Permutations
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ITA
2008
119views Communications» more  ITA 2008»
13 years 5 months ago
Some Algebraic Properties of Machine Poset of Infinite Words
The complexity of infinite words is considered from the point of view of a transformation with a Mealy machine that is the simplest model of a finite automaton transducer. We are ...
Aleksandrs Belovs
ORDER
2002
104views more  ORDER 2002»
13 years 5 months ago
Partially Well-Ordered Closed Sets of Permutations
It is known that the "pattern containment" order on permutations is not a partial well-order. Nevertheless, many naturally defined subsets of permutations are partially ...
Mike D. Atkinson, Max Murphy, Nikola Ruskuc
TCS
2008
13 years 5 months ago
Simple permutations: Decidability and unavoidable substructures
We prove that it is decidable whether a finitely based permutation class contains infinitely many simple permutations, and establish an unavoidable substructure result for simple ...
Robert Brignall, Nikola Ruskuc, Vincent Vatter
COMBINATORICS
2006
83views more  COMBINATORICS 2006»
13 years 5 months ago
Permutations Generated by a Stack of Depth 2 and an Infinite Stack in Series
We prove that the set of permutations generated by a stack of depth two and an infinite stack in series has a basis (defining set of forbidden patterns) consisting of 20 permutati...
Murray Elder
JSYML
2002
84views more  JSYML 2002»
13 years 5 months ago
Maximal Contiguous Degrees
A computably enumerable (c.e.) degree is a maximal contiguous degree if it is contiguous and no c.e. degree strictly above it is contiguous. We show that there are infinitely many ...
Peter Cholak, Rodney G. Downey, Stephen Walk