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M.Sc. distance learning course on "Modal Logics and Description Logics", Deadline: 20 Feb 2015
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University of Manchester
MSc distance learning course/module on
MODAL LOGICS AND DESCRIPTION LOGICS
Registration Deadline: 20 February 2015
http://www.cs.manchester.ac.uk/study/professional-development/study-options/distance-learning/atcs/course-modules/comp71130/
SUMMARY
For many applications, specific domain knowledge is required.
Instead of coding such knowledge into a specific system in a way
that it can never be changed (hidden in the overall implementation),
different logic-based formalisms for representing different kinds of
knowledge have been developed in the last 50 years. They differ in
what kind of statements one can make using them, in what kind of
conclusions can be drawn from them, and how computationally costly
this drawing of conclusions is.
In this module, we discuss some of these approaches, namely
modal logics and description logics. Description logics are mainly
designed to represent and reason about the terminology of an
application domain and form the logical underpinning of the Semantic
Web ontology language OWL. Modal logics can be used to represent
and reason about the behaviour of systems, for example agent based
systems. For both logics, automated reasoning tools have been
developed to answer queries about the knowledge representation
explicitly. This can be used, for example, to ensure the quality of
a knowledge base or access data in a flexible, intelligent way.
This module provides an introduction to various modal and
description logics, how to formalise knowledge and questions about
this knowledge in these logics, different approaches to automated
reasoning for these logics, and the relationship between these
logics and first-order logic.
The module aims to provide students with:
* an understanding of
- different kinds of knowledge and the logics developed to
represent this kind of knowledge
- syntax and semantics of various logics and standard
reasoning problems
- different techniques for automated reasoning for these logics
- the relationship between modal, description, and first-order
logic.
* the ability to formalise knowledge within these logics, to
translate between these logics, and to apply the reasoning
techniques to solve standard reasoning problem, and
* the ability to use various automated reasoning tools to reason
about knowledge represented in these logics.
PRE-REQUISITES
An understanding of the basic notions of discrete mathematics (sets,
operations on sets (intersection, union, ...), relations and their
properties (being transitive, symmetric, etc), functions, graphs,
etc) is required. It would be helpful if you had some knowledge of
Boolean logic (aka propositional logic) or first order logic (aka
predicate logic), but is not a requirement. Almost any
introductory level textbook on Artificial Intelligence, Knowledge
Representation, Logic, Foundations of Computer Science provides an
introduction to both.
This module is entirely web-based, so a reliable internet connection
is essential.
MORE INFORMATION
A detailed module outline, learning outcomes, assessment information
is available from the module website.
REGISTRATION
To register please send an email to emma.flynn@manchester.ac.uk.
Please address any questions also to this address.
The fee for modules for the 2014/15 academic year is 1275 GBP.
IMPORTANT DATES & INFORMATION
Registration deadline: 20 February 2015
Course Start Date: Week of 23 February 2015
Duration: 16 weeks
Required Time per Week: 8-10 hours
COURSE TEACHERS
Uli Sattler
Renate Schmidt