Artificial Intelligence and Symbolic Computation: 7th International Conference, AISC 2004, Linz, Austria, September 22-24, 2004. Proceedings

295 Pages·2004·3.15 MB·English

by  Markus Rosenkranz (auth.)

Lecture Notes in Artificial Intelligence 3249
EditedbyJ.G.CarbonellandJ.Siekmann
Subseries of Lecture Notes in Computer Science

Bruno Buchberger John A. Campbell (Eds.)
Artificial Intelligence
and Symbolic Computation
7th International Conference, AISC 2004
Linz, Austria, September 22-24, 2004
Proceedings
1 3
SeriesEditors
JaimeG.Carbonell,CarnegieMellonUniversity,Pittsburgh,PA,USA
JörgSiekmann,UniversityofSaarland,Saarbrücken,Germany
VolumeEditors
BrunoBuchberger
JohannesKeplerUniversity
ResearchInstituteforSymbolicComputation(RISC-Linz)
4040Linz,Austria
E-mail:[email protected]
JohnA.Campbell
UniversityCollegeLondon,DepartmentofComputerScience
GowerStreet,LondonWC1E6BT,UK
E-mail:[email protected]
LibraryofCongressControlNumber:2004112218
CRSubjectClassification(1998):I.2.1-4,I.1,G.1-2,F.4.1
ISSN0302-9743
ISBN3-540-23212-5SpringerBerlinHeidelbergNewYork
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Preface
AISC 2004,the 7thInternationalConference onArtificialIntelligenceandSym-
bolicComputation,wasthelatestintheseriesofspecializedbiennialconferences
foundedin1992byJacquesCalmetoftheUniversita¨tKarlsruheandJohnCamp-
bellofUniversityCollegeLondonwiththe initialtitle Artificial Intelligence and
Symbolic Mathematical Computing (AISMC).The M disappearedfromthetitle
between the 1996 and 1998 conferences. As the editors of the AISC 1998 pro-
ceedingssaid,the organizers of the current meeting decided to drop the adjective
‘mathematical’ andtoemphasize thattheconferenceisconcernedwithallaspects
of symbolic computation in AI:mathematical foundations, implementations, and
applications, including applications in industry and academia.
This remains the intended profile of the series, and will figure in the call for
papersforAISC2006,whichisintendedtotakeplaceinChina.Thedistribution
of papers in the presentvolume over allthe areasof AISC happens to be rather
noticeably mathematical, an effect that emerged because we were concerned to
select the best relevant papers that were offered to us in 2004, irrespective of
their particular topics; hence the title on the cover. Nevertheless, we encourage
researchersovertheentirespectrumofAISC,asexpressedbythe1998quotation
above,tobeintouchwithusabouttheirinterestsandthepossibilityofeventual
submission of papers on their work for the next conference in the series.
The papers in the present volume are evidence of the health of the field of
AISC. Additionally, there are two reasons for optimism about the continuation
of this situation.
The first is that almost all the items in the list of useful areas for future
research that the editors of the proceedings of the first conference in 1992 sug-
gested in a ‘state of the field’ paper there are represented in AISC 2004. Many
haveofcoursebeenpresentinotherAISCconferencestoo,butneversomanyas
in this year’s conference: theorem proving, expert systems, qualitative reason-
ing, Gr¨obner bases, differential and integral expressions, computational group
theory,constraint-basedprogramming,specification(implying verification),and
instances of automated learning, for example. The only major items from the
1992list that wouldbe needed here to make up what poker playersmight call a
full house are knowledge representationand intelligent user interfaces for math-
ematical tasks and mathematical reasoning – but while a word search in this
volume may not find them, ingredients of both are undoubtedly present this
year. (For a hint, see the next paragraph.)
The second of our reasons for an optimistic view of AISC is the maturation
of a scientific proposal or prediction that dates back to 1985. In founding the
Journal of Symbolic Computation in that year, one of us proposed that SC
shouldencompassbothexactmathematicalalgorithmics(computeralgebra)and
automatedreasoning.Only in recentyearshas anintegrationandinteractionof
these two fields started to materialize. Since 2001 in particular, this has given
VI Preface
rise to the MKM (mathematical knowledge management) ‘movement’, which
considers seriously the automation of the entire process of mathematical theory
exploration. This is now one of the most promising areas for the application
of AI methods in general (for invention or discovery of mathematical concepts,
problems, theorems and algorithms) to mathematics/SC and vice versa.
WearehappytobecontinuingthefruitfulcollaborationwithSpringerwhich
started with the first AISMC conference in 1992 and which permitted the pub-
lication of the proceedings in the Lecture Notes in Computer Science (LNCS
737, 958, 1138) series from 1992 to 1996 and the Lecture Notes in Artificial
Intelligence (LNAI 1476,1930, 2385) series subsequently.
We, the AISC steering committee, and the organizers of the conference, are
grateful to the following bodies for their financial contributions towards its op-
erationand success:Linzer Hochschulfonds,Upper AustrianGovernment,FWF
(Austrian Science Foundation), Raiffeisenlandesbank Upper Austria, Siemens
Austria, IBM Austria, and CoLogNET.
Our thanks are also due to the members of the program committee and
several additional anonymous referees, and to those who ensured the effective
running of the actual conference and its Web sites.
Inthislatterconnection,weadministeredthesubmissionandselectionofpa-
pers for AISC 2004 entirely throughspecial-purpose conference software for the
first time in the history of AISC, using the START V2 conference manager de-
scribed at www.softconf.com. This contributed substantially to the efficiency
of the whole process, and allowed us to respect an unusually tight set of dead-
lines. We appreciate the prompt and helpful advice on using this software that
we received from Rich Gerber whenever we needed it.
The effectiveness of the final stage of production of this volume was due
mainly to the intensive work of Theodoros Pagtzis.We express our gratitude to
him.
July 2004 Bruno Buchberger
John Campbell
Organization
AISC 2004, the 7th international conference on Artificial Intelligence and Sym-
bolic Computation, was held at Schloss Hagenberg, near Linz, during 22–24
September 2004.
The Research Institute for Symbolic Computation (RISC) of the Johannes-
Kepler Universitat Linz, and the Radon Institute for Computational and
AppliedMathematics(RICAM),AustrianAcademyofSciences(O¨sterreichische
AkademiederWissenschaften),Linzwerejointlyresponsiblefortheorganization
and the local arrangements for the conference.
Conference Direction
Conference Chair Bruno Buchberger
(Johannes-Kepler-Universita¨tLinz)
ProgramChair John Campbell
(University College London, UK)
Local Arrangements
Local Organizers Betina Curtis
Ramona Po¨chlinger
Websites and Publicity Camelia Kocsis
Koji Nakagawa
Florina Piroi
Logic ProgrammingTutorial Klaus Tru¨mper
(University of Texas at Dallas)
Program Committee
Luigia Carlucci Aiello (Universita` ‘La Sapienza’, Rome)
Michael Beeson (San Jos´e State University)
Belaid Benhamou (Universit´e de Provence)
Bruno Buchberger (Johannes-Kepler-Universita¨tLinz)
Jacques Calmet (Universit¨at Karlsruhe)
Bill Farmer (McMaster University)
Jacques Fleuriot (University of Edinburgh)
Laurent Henocque (Universit´e de la M´editerran´ee)
Tetsuo Ida (Tsukuba University)
Michael Kohlhase (Universit¨at Bremen)
Steve Linton (University of St Andrews)
Aart Middeldorp (Universita¨t Innsbruck)
Eric Monfroy (Universit´e de Nantes)
VIII Organization
John Perram (Syddansk Universitet)
Jochen Pfalzgraf (Universita¨t Salzburg)
Zbigniew Ras (University of North Carolina)
Eugenio Roanes-Lozano (Universidad Complutense de Madrid)
Tomas Recio (Universidad de Cantabria)
Volker Sorge (University of Birmingham)
John Stell (University of Leeds)
Carolyn Talcott (SRI International)
Dongming Wang (Universit´e de Paris 6)
Wolfgang Windsteiger (Johannes-Kepler-Universita¨tLinz)
Sponsoring Institutions
Linzer Hochschulfonds
Upper Austrian Government
FWF (Austrian Science Foundation)
Raiffeisenlandesbank Upper Austria
Siemens Austria
IBM Austria
CoLogNET
Table of Contents
Invited Presentations
The Algorithmization of Physics:
Math Between Science and Engineering............................... 1
M. Rosenkranz
Finite Algebras and AI: From Matrix Semantics
to Stochastic Local Search .......................................... 8
Z. Stachniak
Proof Search in Minimal Logic....................................... 15
H. Schwichtenberg
Planning and Patching Proof ........................................ 26
A. Bundy
Papers
A ParaconsistentHigher Order Logic ................................. 38
J. Villadsen
Abstraction Within Partial Deduction for Linear Logic ................. 52
P. Ku¨ngas
A Decision Procedure for Equality Logic with Uninterpreted Functions ... 66
O. Tveretina
Generic Hermitian Quantifier Elimination............................. 80
A. Dolzmann and L.A. Gilch
Extending Finite Model Searching
with Congruence Closure Computation ............................... 94
J. Zhang and H. Zhang
On the Combination of Congruence Closure and Completion ............ 103
C. Scharff and L. Bachmair
Combination of Nonlinear Terms
in Interval Constraint Satisfaction Techniques ......................... 118
L. Granvilliers and M. Ouabiba
Proving and Constraint Solving in Computational Origami.............. 132
T. Ida, D. T¸epeneu, B. Buchberger, and J. Robu
An Evolutionary Local Search Method for Incremental Satisfiability ...... 143
M. El Bachir Mena¨ı
X Table of Contents
Solving Equations Involving Sequence Variables and Sequence Functions .. 157
T. Kutsia
Verified Computer Algebra in Acl2. Gro¨bner Bases Computation........ 171
I. Medina-Bulo, F. Palomo-Lozano, J.A. Alonso-Jim´enez,
and J.L. Ruiz-Reina
Polynomial Interpretations with Negative Coefficients .................. 185
N. Hirokawa and A. Middeldorp
New Developments in Symmetry Breaking in Search
Using Computational Group Theory.................................. 199
T. Kelsey, S. Linton, and C. Roney-Dougal
Recognition of Whitehead-Minimal Elements
in Free Groups of Large Ranks ...................................... 211
A.D. Miasnikov
Four Approaches to Automated Reasoning
with Differential Algebraic Structures................................. 222
J. Aransay, C. Ballarin, and J. Rubio
Algorithm-Supported Mathematical Theory Exploration:
A PersonalView and Strategy....................................... 236
B. Buchberger
An Expert System on Detection, Evaluation and Treatment
of Hypertension.................................................... 251
E. Roanes-Lozano, E. L´opez-Vidriero Jr., L.M. Laita,
E. L´opez-Vidriero, V. Maojo, and E. Roanes-Mac´ıas
Short Presentations
Two Revision Methods Based on Constraints:
Application to a Flooding Problem................................... 265
M. Khelfallah and B. Benhamou
Abstraction-Driven Verification of Array Programs..................... 271
D. D´eharbe, A. Imine, and S. Ranise
Singularities in Qualitative Reasoning ................................ 276
B. Gottfried
From a Computer Algebra Library to a System
with an Equational Prover .......................................... 281
S. Mechveliani
Author Index ................................................. 285