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Topic: THedu'11-CTP components for educational software
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Jaime Carvalho e Silva

Posts: 121
Registered: 12/3/04
THedu'11-CTP components for educational software
Posted: Mar 28, 2011 1:01 PM
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[Apologies for possible multiple postings.]
CTP components for educational software
(CTP -- Computer Theorem Proving)

Workshop at CADE-23,
23nd International Conference on Automated Deduction
Wroclaw, Poland, July 31- August 5, 2011

THedu'11 Scope
This workshop intends to gather the research communities for Computer
Theorem proving (CTP), Automated Theorem Proving (ATP), Interactive Theorem
Proving (ITP) as well as for Computer Algebra Systems (CAS) and Dynamic
Geometry Systems (DGS).
The goal of this union is to combine and focus systems of these areas and to
enhance existing educational software as well as studying the design of the
next generation of mechanised mathematics assistants (MMA). Elements for
next-generation MMA's include:

* Declarative Languages for Problem Solution: education in applied sciences
and in engineering is mainly concerned with problems, which are understood
as operations on elementary objects to be transformed to an object
representing a problem solution. Preconditions and postconditions of these
operations can be used to describe the possible steps in the problem space;
thus, ATP-systems can be used to check if an operation sequence given by the
user does actually present a problem solution. Such "Problem Solution
Languages" encompass declarative proof languages like Isabelle/Isar or Coq's
Mathematical Proof Language, but also more specialized forms such as, for
example, geometric problem solution languages that express a proof argument
in Euclidean Geometry or languages for graph theory.

* Consistent Mathematical Content Representation: libraries of existing
ITP-Systems, in particular those following the LCF-prover paradigm, usually
provide logically coherent and human readable knowledge. In the leading
provers, mathematical knowledge is covered to an extent beyond most courses
in applied sciences. However, the potential of this mechanised knowledge for
education is clearly not yet recognised adequately: renewed pedagogy calls
for enquiry-based learning from concrete to abstract --- and the knowledge's
logical coherence supports such learning: for instance, the formula 2.pi
depends on the definition of reals and of multiplication; close to these
definitions are the laws like commutativity etc. Clearly, the complexity of
the knowledge's traceable interrelations poses a challenge to usability

* User-Guidance in Stepwise Problem Solving: Such guidance is indispensable
for independent learning, but costly to implement so far, because so many
special cases need to be coded by hand. However, CTP technology makes
automated generation of user-guidance reachable: declarative languages as
mentioned above, novel programming languages combining computation and
deduction, methods for automated construction with ruler and compass from
specifications, etc --- all these methods 'know how to solve a problem'; so,
using the methods' knowledge to generate user-guidance mechanically is an
appealing challenge for ATP and ITP, and probably for compiler construction!

In principle, mathematical software can be conceived as models of
mathematics: The challenge addressed by this workshop is to provide
appealing models for MMAs which are interactive and which explain themselves
such that interested students can independently learn by inquiry and

Program Chairs
Ralph-Johan Back, Abo University, Turku, Finland
Pedro Quaresma, University of Coimbra, Portugal

Program Committee
Francisco Botana, University of Vigo at Pontevedra, Spain
Florian Haftman, Munich University of Technology, Germany
Predrag Janicic, University of Belgrade, Serbia
Cezary Kaliszyk, University of Tsukuba, Japan
Julien Narboux, University of Strasbourg, France
Walther Neuper, Graz University of Technology, Austria
Wolfgang Schreiner, Johannes Kepler University, Linz, Austria
Laurent Théry, Sophia Antipolis, INRIA, France
Makarius Wenzel, University Paris-Sud, France
Burkhart Wolff, University Paris-Sud, France

Important Dates
* Extended Abstracts/Demo proposals 29 Apr 2011 (PDF, easychair [2])
* Author Notification: 3 Jun 2011
* Worshop Day: 31 Jul 2011
* Full papers (post-proceedings): 27 Aug 2011 (LaTeX, easychair [2])

THedu'11 seeks papers and demos presenting original unpublished work which
is not been submitted for publication elsewhere.

Both, papers and demos, are submitted as extended abstracts first (29 Apr
2011), which must not exceed five pages. The abstract should be new
material. Demos should be accompanied by links to demos/downloads and
[existing] system descriptions. Availability of such accompanying material
will be a strong prerequisite for acceptance.

The authors of the extended abstracts and system descriptions should submit
to easychair [2] in PDF format generated by EPTCS LaTeX style [3] . Selected
extended abstracts and system descriptions will appear in CISUC Technical
Report series (ISSN 0874-338X, [1]).

At least one author of each accepted paper/demo is expected to attend
THedu'11 and to present her or his paper/demo, and the extended abstracts
will be made available online.

After presentation at the conference selected authors will be invited to
submit a substantially revised version, extended to 10-14 pages, for
publication by the Electronic Proceedings in Theoretical Computer Science
(EPTCS). Papers/system descriptions will be reviewed by blind peer review
and evaluated by three referees with respect to relevance, clarity, quality,
originality, and impact.

Revised versions are submitted in LaTeX according to the EPTCS style
guidelines [3] via easychair [2].


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