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Compressibility of Finite Languages by Grammars

  • Sebastian Eberhard
  • Stefan HetzlEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9118)

Abstract

We consider the problem of simultaneously compressing a finite set of words by a single grammar. The central result of this paper is the construction of an incompressible sequence of finite word languages. This result is then shown to transfer to tree languages and (via a previously established connection between proof theory and formal language theory) also to formal proofs in first-order predicate logic.

Keywords

Inference Rule Production Rule Regular Language Proof Theory Sequent Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The authors would like to thank Manfred Schmidt-Schauß for several helpful conversations about the topic of this paper, Werner Kuich for a number of remarks that improved the presentation of the results, and the anonymous reviewers for numerous important comments and suggestions.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institute of Discrete Mathematics and GeometryVienna University of TechnologyWienAustria

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