If not empty, NP — P is topologically large
نویسندگان
چکیده
منابع مشابه
If not Empty, NP - P is Topologically Large
In the classical Cantor topology or in the superset topology. NP and. consequently, classes included in NP are mccr~~rr. However, in a natural combination of the two topologies. we prove that NP-P, if not empty. is a swontl coregor~a class, while NP-complete sets form a first cutegory class. These results are extended to different levels in the polynomial hierarchy and to the low and high hiera...
متن کاملP is not equal to NP
SAT is not in P is proved, in a first-order theory, with a new single finite axiom of Turing’s theory of computing. So, P is not equal to NP.
متن کاملP is not equal to NP
A new axiom of Turing’s theory of computing is used to prove that SAT is not in P. Thus, P is not equal to NP, follows directly. A computeroriented version verifies the results, elsewhere, using a theorem-prover.
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I prove that if markets are efficient, meaning current prices fully reflect all information available in past prices, then P = NP , meaning every computational problem whose solution can be verified in polynomial time can also be solved in polynomial time. I also prove the converse by showing how we can “program” the market to solve NP -complete problems. Since P probably does not equal NP , ma...
متن کاملNP is not AL and P is not NC is not NL is not L
1. Overview This paper talk about that NP is not AL and P, P is not NC, NC is not NL, and NL is not L. The point about this paper is the depend relation of the problem that need other problem's result to compute it. I show the structure of depend relation that could divide each complexity classes. 2. The condition to emulate the TM by using UTM We will begin by considering the important nature ...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1993
ISSN: 0304-3975
DOI: 10.1016/0304-3975(93)90161-l