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BdL07 (Technical report)
Author(s) Stefano Berardi and Ugo de' Liguoro
Title« Limit of learning sequences with retractable guesses »
InstitutionUniversitá di Torino
Year2007
URLhttp://www.di.unito.it/~deligu/papers/BdL07.pdf
Abstract
This is a contribution to constructive interpretation of classical logical proofs, that we see as learning strategies. We report on results about the limits of an abstract representation of learning processes, we call learning sequence, coming from Coquand's game theoretic interpretation of classical logic. Inspired to Gold's notion of limiting recursion and to the recent proposal of Limit-Computable Mathematics by Hayashi, we investigate the idea of learning in the limit in the general case, where both guess retraction and resumption are allowed.

BibTeX code

@techreport{BdL07,
  number = {},
  url = {http://www.di.unito.it/~deligu/papers/BdL07.pdf},
  abstract = {This is a contribution to constructive interpretation of classical
              logical proofs, that we see as learning strategies. We report on
              results about the limits of an abstract representation of learning
              processes, we call learning sequence, coming from Coquand's game
              theoretic interpretation of classical logic. Inspired to Gold's
              notion of limiting recursion and to the recent proposal of
              Limit-Computable Mathematics by Hayashi, we investigate the idea
              of learning in the limit in the general case, where both guess
              retraction and resumption are allowed.},
  title = {{Limit of learning sequences with retractable guesses}},
  author = {Stefano Berardi and Ugo de' Liguoro},
  year = {2007},
  institution = {Universit\'a di Torino},
}


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