Complexity results for prefix grammars

Markus Lohrey; Holger Petersen

RAIRO - Theoretical Informatics and Applications (2010)

  • Volume: 39, Issue: 2, page 391-401
  • ISSN: 0988-3754

Abstract

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Resolving an open problem of Ravikumar and Quan, we show that equivalence of prefix grammars is complete in PSPACE. We also show that membership for these grammars is complete in P (it was known that this problem is in P) and characterize the complexity of equivalence and inclusion for monotonic grammars. For grammars with several premises we show that membership is complete in EXPTIME and hard for PSPACE for monotonic grammars.

How to cite

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Lohrey, Markus, and Petersen, Holger. "Complexity results for prefix grammars." RAIRO - Theoretical Informatics and Applications 39.2 (2010): 391-401. <http://eudml.org/doc/92772>.

@article{Lohrey2010,
abstract = { Resolving an open problem of Ravikumar and Quan, we show that equivalence of prefix grammars is complete in PSPACE. We also show that membership for these grammars is complete in P (it was known that this problem is in P) and characterize the complexity of equivalence and inclusion for monotonic grammars. For grammars with several premises we show that membership is complete in EXPTIME and hard for PSPACE for monotonic grammars. },
author = {Lohrey, Markus, Petersen, Holger},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Rewriting systems; regular languages; computational complexity; rewriting systems},
language = {eng},
month = {3},
number = {2},
pages = {391-401},
publisher = {EDP Sciences},
title = {Complexity results for prefix grammars},
url = {http://eudml.org/doc/92772},
volume = {39},
year = {2010},
}

TY - JOUR
AU - Lohrey, Markus
AU - Petersen, Holger
TI - Complexity results for prefix grammars
JO - RAIRO - Theoretical Informatics and Applications
DA - 2010/3//
PB - EDP Sciences
VL - 39
IS - 2
SP - 391
EP - 401
AB - Resolving an open problem of Ravikumar and Quan, we show that equivalence of prefix grammars is complete in PSPACE. We also show that membership for these grammars is complete in P (it was known that this problem is in P) and characterize the complexity of equivalence and inclusion for monotonic grammars. For grammars with several premises we show that membership is complete in EXPTIME and hard for PSPACE for monotonic grammars.
LA - eng
KW - Rewriting systems; regular languages; computational complexity; rewriting systems
UR - http://eudml.org/doc/92772
ER -

References

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