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CADE
2003
Springer
14 years 7 months ago
A Principle for Incorporating Axioms into the First-Order Translation of Modal Formulae
In this paper we present a translation principle, called the axiomatic translation, for reducing propositional modal logics with background theories, including triangular propertie...
Renate A. Schmidt, Ullrich Hustadt
DLOG
2009
13 years 4 months ago
On Correspondences between Probabilistic First-Order and Description Logics
Abstract This paper analyzes the probabilistic description logic PSHIQ by looking at it as a fragment of probabilistic first-order logic with semantics based on possible worlds. We...
Pavel Klinov, Bijan Parsia, Ulrike Sattler
TABLEAUX
2000
Springer
13 years 10 months ago
MSPASS: Modal Reasoning by Translation and First-Order Resolution
mspass is an extension of the first-order theorem prover spass, which can be used as a modal logic theorem prover, a theorem prover for description logics and a theorem prover for ...
Ullrich Hustadt, Renate A. Schmidt
TIME
2008
IEEE
14 years 1 months ago
Practical First-Order Temporal Reasoning
In this paper we consider the specification and verification of infinite-state systems using temporal logic. In particular, we describe parameterised systems using a new variet...
Clare Dixon, Michael Fisher, Boris Konev, Alexei L...
CSL
2010
Springer
13 years 7 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin