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- W64362254 abstract "To develop computational theory of commutative regular shuffle closed languages, we study finite elasticity for classes of (semi)group-like structures. One is the class of A *** d + F such that A is a matrix of size e ×d with nonnegative integer entries and F consists of at most k number of e -dimensional nonnegative integer vectors, and another is the class $mathcal{X}^{d}_{k}$ of A *** d + F such that A is a square matrix of size d with integer entries and F consists of at most k number of d -dimensional integer vectors (F is repeated according to the lattice A *** d ). Each class turns out to be the elementwise unions of k -copies of a more manageable class. So we formulate learning time of a class and then study in general setting how much learning time is increased by the elementwise union, by using Ramsey number. We also point out that such a standpoint can be generalized by using Noetherian spaces." @default.
- W64362254 created "2016-06-24" @default.
- W64362254 creator A5052310642 @default.
- W64362254 date "2009-01-01" @default.
- W64362254 modified "2023-09-25" @default.
- W64362254 title "Commutative Regular Shuffle Closed Languages, Noetherian Property, and Learning Theory" @default.
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- W64362254 doi "https://doi.org/10.1007/978-3-642-00982-2_8" @default.
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