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» Forcing in proof theory
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CADE
2005
Springer
14 years 11 months ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
POPL
2010
ACM
14 years 8 months ago
Generating Compiler Optimizations from Proofs
We present an automated technique for generating compiler optimizations from examples of concrete programs before and after improvements have been made to them. The key technical ...
Ross Tate, Michael Stepp, Sorin Lerner
ECCC
2010
98views more  ECCC 2010»
13 years 9 months ago
Verifying Computations with Streaming Interactive Proofs
Applications based on outsourcing computation require guarantees to the data owner that the desired computation has been performed correctly by the service provider. Methods based...
Graham Cormode, Justin Thaler, Ke Yi
AML
2011
204views Mathematics» more  AML 2011»
13 years 6 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
JSYML
2007
62views more  JSYML 2007»
13 years 11 months ago
A reduction of the NF consistency problem
We give a necessary and sufficient condition in order that a typeshifting automorphism be constructed on a model of the Theory of Simple Types (TST) by forcing. Namely it is prove...
Athanassios Tzouvaras