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SYNASC
2006
IEEE
91views Algorithms» more  SYNASC 2006»
15 years 3 months ago
MATHsAiD: A Mathematical Theorem Discovery Tool
In the eld of automated reasoning, one of the most challenging (even if, perhaps, somewhat overlooked) problems thus far has been to develop a means of discerning, from amongst al...
Roy L. McCasland, Alan Bundy
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
15 years 10 months ago
The PCP theorem by gap amplification
The PCP theorem [3, 2] says that every language in NP has a witness format that can be checked probabilistically by reading only a constant number of bits from the proof. The cele...
Irit Dinur
162
Voted
CC
2009
Springer
142views System Software» more  CC 2009»
15 years 10 months ago
Extensible Proof-Producing Compilation
This paper presents a compiler which produces machine code from functions defined in the logic of a theorem prover, and at the same time proves that the generated code executes the...
Magnus O. Myreen, Konrad Slind, Michael J. C. Gord...
121
Voted
AML
2011
204views Mathematics» more  AML 2011»
14 years 4 months ago
A note on propositional proof complexity of some Ramsey-type statements
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
Jan Krajícek
JAR
2007
80views more  JAR 2007»
14 years 9 months ago
Integrating Searching and Authoring in Mizar
The vision of a computerised assistant to mathematicians has existed since the inception of theorem proving systems. The Alcor system has been designed to investigate and explore h...
Paul A. Cairns, Jeremy Gow