Von Neumann, Gödel and complexity theory

Bulletin of Symbolic Logic 16 (4):516-530 (2010)
Abstract
Around 1989, a striking letter written in March 1956 from Kurt Gödel to John von Neumann came to light. It poses some problems about the complexity of algorithms; in particular, it asks a question that can be seen as the first formulation of the P=?NP question. This paper discusses some of the background to this letter, including von Neumann's own ideas on complexity theory. Von Neumann had already raised explicit questions about the complexity of Tarski's decision procedure for elementary algebra and geometry in a letter of 1949 to J. C. C. McKinsey. The paper concludes with a discussion of why theoretical computer science did not emerge as a separate discipline until the 1960s
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/bsl/1294171130
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 26,692
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
On Axiomatizability Within a System.William Craig - 1953 - Journal of Symbolic Logic 18 (1):30-32.
On Me Number of Steps in Proofs.Jan Krajíèek - 1989 - Annals of Pure and Applied Logic 41 (2):153-178.
On the Number of Steps in Proofs.Jan Kraj\mIček - 1989 - Annals of Pure and Applied Logic 41 (2):153-178.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
That Von Neumann Did Not Believe in a Physical Collapse.Lon Becker - 2004 - British Journal for the Philosophy of Science 55 (1):121-135.
John von Neumann, Scientific Method and Empirical Economics.Salim Rashid - 1994 - Journal of Economic Methodology 1 (2):279-294.
The Von Neumann Entropy: A Reply to Shenker.Leah Henderson - 2003 - British Journal for the Philosophy of Science 54 (2):291-296.
Reviews. [REVIEW]Yorick Wilks - 1982 - British Journal for the Philosophy of Science 33 (3):191-195.
An Axiomatisation of Set Theory.John von Neumann - 1925 - In J. Van Heijenoort (ed.), From Frege to Gödel: A Source Book in Mathematical Logic, 1879--1931. Harvard University Press. pp. 393--413.
Why Numbers Are Sets.Eric Steinhart - 2002 - Synthese 133 (3):343 - 361.
The Birth of Quantum Logic.Miklós Rédei - 2007 - History and Philosophy of Logic 28 (2):107-122.

Monthly downloads

Added to index

2011-01-05

Total downloads

26 ( #194,054 of 2,158,407 )

Recent downloads (6 months)

2 ( #193,774 of 2,158,407 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums