Turing machines with few accepting computations

In this paper we study complexity classes defined by path-restricted nondeterministic machines. We prove that for every language L in the class Few a polynomial time nondeterministic machine can be constructed which has f(x)+1 accepting paths for strings x ¿ L, and f(x) accepting paths for strings t...

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Bibliographic Details
Authors: Torán Romero, Jacobo, Köbler, Johannes
Format: report
Publication Date:1988
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/189375
Online Access:https://hdl.handle.net/2117/189375
Access Level:Open access
Keyword:Turing machines
Turing, Màquines de
Àrees temàtiques de la UPC::Informàtica
Description
Summary:In this paper we study complexity classes defined by path-restricted nondeterministic machines. We prove that for every language L in the class Few a polynomial time nondeterministic machine can be constructed which has f(x)+1 accepting paths for strings x ¿ L, and f(x) accepting paths for strings that are not in L, being f a function in PF. From this result we obtain lowness properties of the class Few, and positive relativizations of different counting classes.