Tarski's principle, categorial grammars and learnability

  • Authors:
  • Jacek Marciniec

  • Affiliations:
  • Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland

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

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Abstract

In this paper, functorial languages with the following characteristic are investigated: if two functor-argument structures occur in at last one common functorial context, then they are intersubstitutable on arguments' positions in all elements (sentences) of a language. We prove learnability of the class of all such languages (in the model of Gold). Since our class has infinite elasticity, we could not employ a widely used method of learnability proving. Instead, we adopted Buszkowski's discovery procedure, based on unification.