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CADE
2006
Springer
14 years 4 months ago
A Recursion Combinator for Nominal Datatypes Implemented in Isabelle/HOL
The nominal datatype package implements an infrastructure in Isabelle/HOL for defining languages involving binders and for reasoning conveniently about alpha-equivalence classes. P...
Christian Urban, Stefan Berghofer
CADE
2006
Springer
14 years 4 months ago
Automatic Construction and Verification of Isotopy Invariants
Abstract. We extend our previous study of the automatic construction of isomorphic classification theorems for algebraic domains by considering the isotopy equivalence relation. Is...
Volker Sorge, Andreas Meier, Roy L. McCasland, Sim...
CADE
2006
Springer
14 years 4 months ago
Description Logic Reasoner: System Description
This is a system description of the Description Logic reasoner FaCT++. The reasoner implements a tableaux decision procedure for the well known SHOIQ description logic, with additi...
Dmitry Tsarkov, Ian Horrocks
CADE
2006
Springer
14 years 4 months ago
On Keys and Functional Dependencies as First-Class Citizens in Description Logics
We investigate whether identification constraints such as keys and functional dependencies can be granted full status as a concept constructor in a Boolean-complete description log...
David Toman, Grant E. Weddell
CADE
2006
Springer
14 years 4 months ago
Eliminating Redundancy in Higher-Order Unification: A Lightweight Approach
In this paper, we discuss a lightweight approach to eliminate the overhead due to implicit type arguments during higher-order unification of dependently-typed terms. First, we show...
Brigitte Pientka
CADE
2006
Springer
14 years 4 months ago
Connection Tableaux with Lazy Paramodulation
It is well-known that the connection refinement of clause tableaux with paramodulation is incomplete (even with weak connections). In this paper, we present a new connection tablea...
Andrey Paskevich
CADE
2006
Springer
14 years 4 months ago
Importing HOL into Isabelle/HOL
We developed an importer from both HOL 4 and HOL-light into Isabelle/HOL. The importer works by replaying proofs within Isabelle/HOL that have been recorded in HOL 4 or HOL-light a...
Steven Obua, Sebastian Skalberg
CADE
2006
Springer
14 years 4 months ago
Geometric Resolution: A Proof Procedure Based on Finite Model Search
We present a proof procedure that is complete for first-order logic, but which can also be used when searching for finite models. The procedure uses a normal form which is based on...
Hans de Nivelle, Jia Meng
CADE
2006
Springer
14 years 4 months ago
Flyspeck I: Tame Graphs
We present a verified enumeration of tame graphs as defined in Hales' proof of the Kepler Conjecture and confirm the completeness of Hales' list of all tame graphs while ...
Tobias Nipkow, Gertrud Bauer, Paula Schultz