NDLI: P versus UP

Content Provider	IEEE Xplore Digital Library
Author	Vega, F.
Copyright Year	2003
Abstract	The existence of one-way functions is a question that has not yet been answered. If we solve the problem P versus UP showing that both classes are different, then it would result in fact there are strong one-way functions and thus P is not equal to NP. In this work we showed that some kinds of unambiguous Turing machines can not be converted into deterministic, because it will imply that some Turing machines which do not halt for some inputs could be decided in polynomial time by certain deterministic Turing machines. But, is impossible that we can decide in polynomial time over a deterministic Turing machine if any deterministic Turing machine does not halt in polynomial time. Therefore by the rule of reduction ad absurdum we have that P and UP are different.
Starting Page	2006
Ending Page	2009
Page Count	4
File Size	488703
File Format	PDF
ISSN	15480992
Volume Number	10
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Silicon Turing machines Polynomials Complexity theory Computational modeling Silicon compounds Abstracts Complexity classes One-way functions
Content Type	Text
Resource Type	Article
Subject	Computer Science Electrical and Electronic Engineering

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