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JAR
2008
95views more  JAR 2008»
15 years 1 months ago
On the Mechanization of the Proof of Hessenberg's Theorem in Coherent Logic
Abstract. We propose to combine interactive proof construction with proof automation for a fragment of first-order logic called Coherent Logic (CL). CL allows enough existential qu...
Marc Bezem, Dimitri Hendriks
CORR
2007
Springer
125views Education» more  CORR 2007»
15 years 1 months ago
Common knowledge logic in a higher order proof assistant?
This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality...
Pierre Lescanne
AISC
2008
Springer
15 years 4 months ago
A Tactic Language for Hiproofs
Abstract. We introduce and study a tactic language, Hitac, for constructing hierarchical proofs, known as hiproofs. The idea of hiproofs is to superimpose a labelled hierarchical n...
David Aspinall, Ewen Denney, Christoph Lüth
JSYML
2010
107views more  JSYML 2010»
15 years 12 days ago
A proof of completeness for continuous first-order logic
Continuous first-order logic has found interest among model theorists who wish to extend the classical analysis of “algebraic” structures (such as fields, group, and graphs) ...
Arthur Paul Pedersen, Itay Ben-Yaacov
156
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ENTCS
2006
113views more  ENTCS 2006»
15 years 2 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