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» On a Generalization of the Stone-Weierstrass Theorem
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CADE
2005
Springer
16 years 6 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
JACM
2002
163views more  JACM 2002»
15 years 5 months ago
Formal verification of standards for distance vector routing protocols
We show how to use an interactive theorem prover, HOL, together with a model checker, SPIN, to prove key properties of distance vector routing protocols. We do three case studies: ...
Karthikeyan Bhargavan, Davor Obradovic, Carl A. Gu...
IJCAI
2003
15 years 7 months ago
Practical Partition-Based Theorem Proving for Large Knowledge Bases
Query answering over commonsense knowledge bases typically employs a first-order logic theorem prover. While first-order inference is intractable in general, provers can often b...
Bill MacCartney, Sheila A. McIlraith, Eyal Amir, T...
TYPES
1994
Springer
15 years 10 months ago
A Concrete Final Coalgebra Theorem for ZF Set Theory
A special final coalgebra theorem, in the style of Aczel's [2], is proved within standard Zermelo-Fraenkel set theory. Aczel's AntiFoundation Axiom is replaced by a varia...
Lawrence C. Paulson
CORR
2008
Springer
129views Education» more  CORR 2008»
15 years 6 months ago
A polytime proof of correctness of the Rabin-Miller algorithm from Fermat's little theorem
Although a deterministic polytime algorithm for primality testing is now known ([4]), the Rabin-Miller randomized test of primality continues being the most efficient and widely u...
Grzegorz Herman, Michael Soltys