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Register a new userAn optimized KE-tableau-based system for reasoning in the description logic $shdlssx$ (Extended Version)
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Added by
Daniele Francesco Santamaria
Publication date
2018
fields
Informatics Engineering
and research's language is
English
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We present a ke-based procedure for the main TBox and ABox reasoning tasks for the description logic $dlssx$, in short $shdlssx$. The logic $shdlssx$, representable in the decidable multi-sorted quantified set-theoretic fragment $flqsr$, combines the high scalability and efficiency of rule languages such as the Semantic Web Rule Language (SWRL) with the expressivity of description logics. %In fact it supports, among other features, Boolean operations on concepts and roles, role constructs such as the product of concepts and role chains on the left hand side of inclusion axioms, and role properties such as transitivity, symmetry, reflexivity, and irreflexivity. Our algorithm is based on a variant of the kespace system for sets of universally quantified clauses, where the KE-elimination rule is generalized in such a way as to incorporate the $gamma$-rule. The novel system, called keg, turns out to be an improvement of the system introduced in cite{RR2017} and of standard first-order ke x cite{dagostino94}. Suitable benchmark test sets executed on C++ implementations of the three mentioned systems show that the performances of the keg-based reasoner are often up to about 400% better than the ones of the other two systems. This a first step towards the construction of efficient reasoners for expressive OWL ontologies based on fragments of computable set-theory.
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We present a ke-based implementation of a reasoner for a decidable fragment of (stratified) set theory expressing the description logic $dlssx$ ($shdlssx$, for short). Our application solves the main TBox and ABox reasoning problems for $shdlssx$. In particular, it solves the consistency problem for $shdlssx$-knowledge bases represented in set-theoretic terms, and a generalization of the emph{Conjunctive Query Answering} problem in which conjunctive queries with variables of three sorts are admitted. The reasoner, which extends and optimizes a previous prototype for the consistency checking of $shdlssx$-knowledge bases (see cite{cilc17}), is implemented in textsf{C++}. It supports $shdlssx$-knowledge bases serialized in the OWL/XML format, and it admits also rules expressed in SWRL (Semantic Web Rule Language).
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The paper introduces a knowledge representation language that combines the event calculus with description logic in a logic programming framework. The purpose is to provide the user with an expressive language for modelling and analysing systems that evolve over time. The approach is exemplified with the logic programming language as implemented in the Fusemate system. The paper extends Fusemates rule language with a weakly DL-safe interface to the description logic $cal ALCIF$ and adapts the event calculus to this extended language. This way, time-stamped ABoxes can be manipulated as fluents in the event calculus. All that is done in the frame of Fusemates concept of stratification by time. The paper provides conditions for soundness and completeness where appropriate. Using an elaborated example it demonstrates the interplay of the event calculus, description logic and logic programming rules for computing possible models as plausible explanations of the current state of the modelled system.
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