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On the Power of Parity Polynomial Time

Jin-yi Cai; Lane A. Hemachandra

Title:
On the Power of Parity Polynomial Time
Author(s):
Cai, Jin-yi
Hemachandra, Lane A.
Date:
Type:
Technical reports
Department:
Computer Science
Permanent URL:
Series:
Columbia University Computer Science Technical Reports
Part Number:
CUCS-274-87
Publisher:
Department of Computer Science, Columbia University
Publisher Location:
New York
Abstract:
This paper proves that the complexity class Ef)P, parity polynomial time [PZ83], contains the class of languages accepted by NP machines with few accepting paths. Indeed, Ef)P contains a. broad class of languages accepted by path-restricted nondeterministic machines. In particular, Ef)P contains the polynomial accepting path versions of NP, of the counting hierarchy, and of ModmNP for m > 1. We further prove that the class of nondeterministic path-restricted languages is closed under bounded truth-table reductions.
Subject(s):
Computer science
Item views:
228
Metadata:
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