Applying tree languages in proof theory

  • Authors:
  • Stefan Hetzl

  • Affiliations:
  • Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Vienna, Austria

  • Venue:
  • LATA'12 Proceedings of the 6th international conference on Language and Automata Theory and Applications
  • Year:
  • 2012

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Abstract

We introduce a new connection between formal language theory and proof theory. One of the most fundamental proof transformations in a class of formal proofs is shown to correspond exactly to the computation of the language of a certain class of tree grammars. Translations in both directions, from proofs to grammars and from grammars to proofs, are provided. This correspondence allows theoretical as well as practical applications.