A tough nut for proof procedures

Here's the article which was a 1964 Stanford AI Memo. After the original memo, several people offered different proofs of the theorem including Shmuel Winograd, Marvin Minsky and Dimitri Stefanyuk - none published, to my knowledge. Winograd claimed that his proof was non-creative, because it didn't use an extraneous idea like the colors of the squares. This set off a contest to see who could produce the most non-creative proof. Minsky's idea was to start with the diagonal next to an excluded corner ssquare, note that 2 dominoes had to project from it to the diagonal with three squares, and from there 1 domino to the four square diagonal, etc. Coming from the other end also leaves only six of the eight squares in the long diagonal covered. Minsky's proof gets high points for non-creativity, because it is specific to the 8 by 8 board. (Using the colors it is easy to show that a Minsky style proof will work for any even sized board.).
Keywords No keywords specified (fix it)
Categories (categorize this paper)
 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
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 16,658
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

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Monthly downloads

Sorry, there are not enough data points to plot this chart.

Added to index


Total downloads

1 ( #647,778 of 1,725,999 )

Recent downloads (6 months)

1 ( #369,877 of 1,725,999 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.