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2004
Springer
14 years 3 months ago
Extracting a Normalization Algorithm in Isabelle/HOL
We present a formalization of a constructive proof of weak normalization for the simply-typed λ-calculus in the theorem prover Isabelle/HOL, and show how a program can be extracte...
Stefan Berghofer
TPHOL
2000
IEEE
14 years 2 months ago
Fast Tactic-Based Theorem Proving
Theorem provers for higher-order logics often use tactics to implement automated proof search. Tactics use a general-purpose metalanguage to implement both general-purpose reasonin...
Jason Hickey, Aleksey Nogin
ENTCS
2006
113views more  ENTCS 2006»
13 years 10 months ago
A Large-Scale Experiment in Executing Extracted Programs
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...
Luís Cruz-Filipe, Pierre Letouzey
COMGEO
2010
ACM
13 years 10 months ago
Approximate centerpoints with proofs
We present the IteratedTverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S Rd with running time subexponential in d. The alg...
Gary L. Miller, Donald Sheehy
CIE
2008
Springer
14 years 1 days ago
The Relative Consistency of the Axiom of Choice - Mechanized Using Isabelle/ZF
The proof of the relative consistency of the axiom of choice has been mechanized using Isabelle/ZF, building on a previous mechanization of the reflection theorem. The heavy relia...
Lawrence C. Paulson