Linear splicing and syntactic monoid
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BONIZZONI P +3 more
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A syntactic approach to the MacNeille completion of $\bold��^{\ast}$, the free monoid over an ordered alphabet $\bold ��$ [PDF]
Let $ ^{\ast}$ be the free monoid of (finite) words over a not necessarily finite alphabet $ $, which is equipped with some (partial) order. This ordering lifts to $ ^{\ast}$, where it extends the divisibility ordering of words. The MacNeille completion of $ ^{\ast}$ constitutes a complete lattice ordered monoid and is realized by the system of ...
Bandelt, Hans-J��rgen +1 more
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On certain codes admitting inverse semigroups as syntactic monoids
The purpose of this paper is to investigate under what conditions an inverse semigroup M is isomorphic to the syntactic monoid M(A)* of afinite prefix code A over an alphabet X. We find a necessary condition for this to happen. It expresses a precise link between the group of units of M and the maximal subgroups of the 0-minimal ideal of M (Theorem 2.1)
Lallement, G., Keenan, M.
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Bounds on the variety generated by completely regular syntactic monoids from finite prefix codes
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Norman R. Reilly
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Biprefix codes, inverse semigroups and syntactic monoids of injective automata
The author proves some properties of automata and semigroups. He shows that each injective automaton may be simulated by the minimal automaton of a language of the form \(B^*\), B a finite biprefix code. A similar result holds for any automaton, with ''biprefix'' replaced by ''prefix''.
T. E. Hall
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String Grammar Unsupervised Possibilistic Fuzzy C-Medians for Gait Pattern Classification in Patients with Neurodegenerative Diseases. [PDF]
Neurodegenerative diseases that affect serious gait abnormalities include Parkinson′s disease (PD), amyotrophic lateral sclerosis (ALS), and Huntington disease (HD). These diseases lead to gait rhythm distortion that can be determined by stride time interval of footfall contact times.
Klomsae A +2 more
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A syntactic approach to the MacNeille completion of $\bold\Lambda^{\ast}$, the free monoid over an ordered alphabet $\bold \Lambda$ [PDF]
Comment: 18pages, 3 ...
Bandelt, Hans-Jürgen, Pouzet, Maurice
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On Croisot - languages and Dubreil - languages having a group as syntactic monoid.
Lê Quốc Hán, Hồ Tiến Dương
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On DR Tree Automata, Unary Algebras and Syntactic Path Monoids
Magnus Steinby
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Genjiro Tanaka
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