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CADE
2008
Springer
14 years 7 months ago
Towards Fully Automated Axiom Extraction for Finite-Valued Logics
Abstract. We implement an algorithm for extracting appropriate collections of classic-like sound and complete tableaux rules for a large class of finite-valued logics. Its output c...
Dalmo Mendonca, João Marcos
DLOG
2006
13 years 9 months ago
Description logic reasoning using the PTTP approach
The goal of this paper is to present how the Prolog Technology Theorem Proving (PTTP) approach can be used for ABox-reasoning. This work presents an inference algorithm over the l...
Zsolt Nagy, Gergely Lukácsy, Péter S...
IANDC
2008
116views more  IANDC 2008»
13 years 7 months ago
Deciding expressive description logics in the framework of resolution
We present a decision procedure for the description logic SHIQ based on the basic superposition calculus, and show that it runs in exponential time for unary coding of numbers. To...
Ullrich Hustadt, Boris Motik, Ulrike Sattler
CSL
2007
Springer
14 years 1 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
CADE
2002
Springer
14 years 7 months ago
The Reflection Theorem: A Study in Meta-theoretic Reasoning
The reflection theorem has been proved using Isabelle/ZF. This theorem cannot be expressed in ZF, and its proof requires reasoning at the meta-level. There is a particularly elegan...
Lawrence C. Paulson