Structure and Importance of Logspace-MOD-Classes

  title={Structure and Importance of Logspace-MOD-Classes},
  author={Gerhard Buntrock and Carsten Damm and Ulrich Hertrampf and Christoph Meinel},
We reene the techniques of Beigel, Gill, Hertrampf 4] who investigated polynomial time counting classes, in order to make them applicable to the case of logarithmic space. We deene the complexity classes MOD k L and demonstrate their signiicance by proving that all standard problems of linear algebra over the nite rings Z/kZ are complete for these classes. We then deene new complexity classes LogFew and LogFewNL and identify them as adequate logspace versions of Few and FewP. We show that… CONTINUE READING

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