David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
mathematicians for over 60 years. Amazingly, the Argonne team's automated theorem-proving program EQP took only 8 days to find a proof of it. Unfortunately, the proof found by EQP is quite complex and difficult to follow. Some of the steps of the EQP proof require highly complex and unintuitive substitution strategies. As a result, it is nearly impossible to reconstruct or verify the computer proof of the Robbins conjecture entirely by hand. This is where the unique symbolic capabilities of Mathematica 3 come in handy. With the help of Mathematica, it is relatively easy to work out and explain each step of the dense EQP proof in detail. In this paper, I use Mathematica to provide a detailed, step-by-step reconstruction of the highly complex EQP proof of the Robbins conjecture.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
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.
Citations of this work BETA
No citations found.
Similar books and articles
Herbert A. Simon & Stuart A. Eisenstadt (1998). Human and Machine Interpretation of Expressions in Formal Systems. Synthese 116 (3):439-461.
N. Shankar (1994). Metamathematics, Machines, and Gödel's Proof. Cambridge University Press.
Peter Aczel, Harold Simmons & S. S. Wainer (eds.) (1992). Proof Theory: A Selection of Papers From the Leeds Proof Theory Programme, 1990. Cambridge University Press.
Mark McEvoy (2008). The Epistemological Status of Computer-Assisted Proofs. Philosophia Mathematica 16 (3):374-387.
Peter Milne (2008). Russell's Completeness Proof. History and Philosophy of Logic 29 (1):31-62.
Liang Yu (2011). A New Proof of Friedman's Conjecture. Bulletin of Symbolic Logic 17 (3):455-461.
Added to index2009-01-28
Total downloads56 ( #74,020 of 1,792,848 )
Recent downloads (6 months)11 ( #73,278 of 1,792,848 )
How can I increase my downloads?