Relationships Among PL, #L, and the Determinant

@article{Allender1996RelationshipsAP,
  title={Relationships Among PL, #L, and the Determinant},
  author={Eric Allender and Mitsunori Ogihara},
  journal={ITA},
  year={1996},
  volume={30},
  pages={1-21}
}
  • Eric Allender, Mitsunori Ogihara
  • Published in ITA 1996
  • Mathematics, Computer Science
  • Recent results by Toda, Vinay, Damm, and Valiant have shown that the complexity of the determinant is characterized by the complexity ofcounting the number ofaccepting computations ofa nondeterministic logspace-bounded machine. (This class of functions is known as #L) By using that characterization and by establishing a few elementary closure properties, we give a very simple proof of theorem of Jung, showing that probabilistic logspace-bounded (PL) machines lose none of their computational… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Topics from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 94 CITATIONS

    Verifying the determinant in parallel

    VIEW 5 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Classifying Problems on Linear Congruences and Abelian Permutation Groups Using Logspace Counting Classes

    VIEW 6 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Equivalence Problems for Circuits over Sets of Natural Numbers

    VIEW 4 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Dynamic Process Graphs and the Complexity of Scheduling

    VIEW 4 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Óñôððüüøý Óó Òòøø¹àóööþóò Ååööóú ××óò

    VIEW 3 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Relationships between quantum and classical space-bounded complexity classes

    • John Watrous
    • Mathematics, Computer Science
    • Proceedings. Thirteenth Annual IEEE Conference on Computational Complexity (Formerly: Structure in Complexity Theory Conference) (Cat. No.98CB36247)
    • 1998
    VIEW 6 EXCERPTS
    CITES BACKGROUND & RESULTS
    HIGHLY INFLUENCED

    Verifying the Determinant in Parallel

    VIEW 8 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    FILTER CITATIONS BY YEAR

    1994
    2019

    CITATION STATISTICS

    • 7 Highly Influenced Citations