Automatic learning of subclasses of pattern languages

  • Authors:
  • John Case;Sanjay Jain;Trong Dao Le;Yuh Shin Ong;Pavel Semukhin;Frank Stephan

  • Affiliations:
  • Department of Computer and Information Sciences, University of Delaware, Newark, DE;Department of Computer Science, National University of Singapore, Singapore, Republic of Singapore;Department of Computer Science, National University of Singapore, Singapore, Republic of Singapore;Department of Computer Science, National University of Singapore, Singapore, Republic of Singapore;Department of Computer Science, University of Regina, Canada;Department of Computer Science, National University of Singapore, Singapore, Republic of Singapore and Department of Mathematics, National University of Singapore, Singapore, Republic of Singapore

  • Venue:
  • LATA'11 Proceedings of the 5th international conference on Language and automata theory and applications
  • Year:
  • 2011

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Abstract

Automatic classes are classes of languages for which a finite automaton can decide membership question for the languages in the class, in a uniform way, given an index for the language. For alphabet size of at least 4, every automatic class of erasing pattern languages is contained, for some constant n, in the class of all languages generated by patterns which contain (1) every variable only once and (2) at most n symbols after the first occurrence of a variable. It is shown that such a class is automatically learnable using a learner with long-term memory bounded by the length of the first example seen. The study is extended to show the learnability of related classes such as the class of unions of two pattern languages of the above type.