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178
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TPHOL
2002
IEEE
15 years 11 months ago
The 5 Colour Theorem in Isabelle/Isar
Based on an inductive definition of triangulations, a theory of undirected planar graphs is developed in Isabelle/HOL. The proof of the 5 colour theorem is discussed in some detai...
Gertrud Bauer, Tobias Nipkow
CSL
2001
Springer
15 years 11 months ago
On a Generalisation of Herbrand's Theorem
In this paper we investigate the purely logical rule of term induction, i.e. induction deriving numerals instead of arbitrary terms. In this system it is not possible to bound the ...
Matthias Baaz, Georg Moser
146
Voted
CSL
2001
Springer
15 years 11 months ago
Uniform Derivation of Decision Procedures by Superposition
We show how a well-known superposition-based inference system for first-order equational logic can be used almost directly as a decision procedure for various theories including l...
Alessandro Armando, Silvio Ranise, Michaël Ru...
CSL
2001
Springer
15 years 11 months ago
An Abstract Look at Realizability
act Look at Realizability Edmund Robinson and Guiseppe Rosolini Department of Computer Science Research Report No. RR-01-01 ISSN 1470-5559 March 2001
Edmund Robinson, Giuseppe Rosolini
200
Voted
ILP
2001
Springer
15 years 11 months ago
Induction of Stable Models
In the line of previous work by S. Muggleton and C. Sakama, we extend the logical characterization of inductive logic programming, to normal logic programs under the stable models ...
Ramón P. Otero