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EUROCAL 1985, Volume 2: Linz, Austria
- Bob F. Caviness:
EUROCAL '85, European Conference on Computer Algebra, Linz, Austria, April 1-3, 1985, Proceedings Volume 2: Research Contributions. Lecture Notes in Computer Science 204, Springer 1985, ISBN 3-540-15984-3
Algebraic Algorithms I
- Dario Bini, Victor Y. Pan:
Algorithms for Polynominal Division. 1-3 - Erich L. Kaltofen
:
Sparse Hensel Lifting. 4-17 - James H. Davenport
HEUGCD: How Elementary Upperbounds Generated Cheaper Data. 18-28 - Costas S. Iliopoulos:
Gaussian Elimination over a Euclidean Ring. 29-30 - Hans Zassenhaus:
Symbol Manipulation and Symmetry Breaking. 607
Demos of General Purpose Computer Algebra Systems
- Michael Taraniuk, Peter C. Mackeonis:
Demonstration of REDUCE3 as Implemented on a Stand-Alone MOTOROLA 68000 Based Microcomputer. 31 - Robert S. Sutor:
The Scratchpad II Computer Algebra Language and System. 32-33 - George E. Collins:
The SAC-2 Computer Algebra System. 34-35 - George J. Carrette, Leo P. Harten:
DOE-MACSYMA: Progress Report. 36-39
Automated Theorem Proving
- Susanna Ghelfo, Eugenio G. Omodeo:
Towards Practical Implementations of Syllogistic. 40-49 - Neil V. Murray, Erik Rosenthal:
Path Resolution and Semantic Graphs. 50-63 - Georg Gottlob, Alexander Leitsch:
Fast Subsumption Algorithms. 64-77 - K. Aspetsberger:
Substitution Expressions: Extracting Solutions of Non-Horn Clause Proofs. 78-86 - Volker Weispfenning:
The Complexity of Elementary Problems in Archimedean Ordered Groups. 87-88
Applications I
- Jan E. Åman, R. A. d'Inverno, G. C. Joly, Malcolm A. H. MacCallum:
Progress on the Equivalence Problem. 89-98 - Wolfgang Lassner:
Symbol Representations of Noncommutative Algebras. 99-115 - K. Millington, Francis J. Wright:
Algebraic Computations in Elementary Catastrophe Theory. 116-125 - Dieter Armbruster:
Bifurcation Theory and Computer Algebra: An Initial Approach. 126-137
Algebraic Algorithms II
- Marc-Paul van der Hulst, Arjen K. Lenstra:
Factorization of Polynominals by Transcendental Evaluation. 138-145 - Franzpeter Goebbels:
Factorization of Rational Polynominals in the Zassenhaus-Norm. 146-147 - Rudolf Lidl:
On Decomposable and Commuting Polynominals. 148-149 - Vangalur S. Alagar, Mai Thanh:
Fast Polynominal Decomposition Algorithms. 150-153 - Wolfgang Riedel:
A Program System for Root Finding. 154 - Michael Kreißig:
A Program System for Factorization of Polynominals with Rational Coefficients. 155 - Peter Richter:
THKLISP as a Base of Formula Manipulation Systems. 156
Demos of Special Purpose Computer Algebra Systems
- J.-M. Drouffe:
AMP: A System for Algebraic Computations. 157-158 - Andrzej Krasinski
The Program ORTOCARTAN for Applications in Einstein's Relativity Theory. 159-160 - Inge Frick, Jan E. Åman:
SHEEP and Classification in General Relativity. 161-162 - Arne Hornæs, Terje Wahl:
NORCAN - A Computer Calculus Program. 163-164 - Lars Hörnfeldt:
STENSOR. 165 - S. Kamal Abdali, Guy W. Cherry:
Visual Environments for Symbolic Computation. 166-167
Constructive and Combinatory Logic
- Pierre-Louis Curien:
Syntactic Equivalences Inducing Semantic Equivalences. 168-178 - Henson Graves, Lee Blaine:
The ALGOS Computational System. 179-180 - Werner Gaube, Heinrich C. Mayr, Peter C. Lockemann:
Retrieval in a Module Library Using Formal Specifications: Preliminary Search Using Syntactic Properties. 181-196 - Jacek Gibert:
The J-Machine: Functional Programming with Combinators. 197-198
Applications II
- D. M. Klimov:
Symbolic Algebra in Problems of Non-Linear Mechanics. 199-200 - Ph. Tombal, A. Moussiaux:
MACSYMA's Computation of Dirac-Bergmann Algorithm for Hamiltonian Systems with Constraints. 201-202 - Terje Wahl:
Infinite Dimensional Computer Lie Algebra? 203-204 - John F. Ogilvie:
Application of Computer Algebra to the Theory of the Vibration-Rotational Spectra of Diatomic Molecules. 205
Computational Group Theory
- Ömer Egecioglu:
Algorithms for the Character Theory of the Symmetric Group. 206-224 - Costas S. Iliopoulos:
Worst-Case Analysis of Algorithms for Computational Problems on Abelian Permutation Groups. 225-228 - Philippe le Chenadec:
A Completion of some Coxeter Groups. 229-242 - Colin M. Campbell, Edmund F. Robertson:
A Cayley File of Finite Simple Groups. 243-244 - Daniela B. Nikolova:
On Some Laws in PSL(2, q). 245
Algebraic Algorithms III
- Dennis S. Arnon, George E. Collins, Scott McCallum
An Adjacency Algorithm for Cylindrical Algebraic Decompositions of Three-Dimensional Space. 246-261 - Dennis S. Arnon:
A Cluster-Based Cylindrical Algebraic Decomposition Algorithm. 262-269 - Dennis S. Arnon:
On Mechanical Quantifier Elimination for Elementary Algebra and Geometry: Solution of a Non-Trivial Problem. 270-271 - W. Böge, Rüdiger Gebauer, Heinz Kredel:
Gröbner Bases Using SAC-2. 272-274
Algebraic Algorithms IV
- Dennis S. Arnon, Scott McCallum
A Polynominal Time Algorithm for the Topological Type of a Real Algebraic Curve. 275-276 - Scott McCallum
An Improved Projection Operation for Cylindrical Algebraic Decomposition. 277-278 - Erich L. Kaltofen
Arithmetic in Quadratic Fields with Unique Factorization. 279-288 - Jean Della Dora, Claire Dicrescenzo, Dominique Duval:
About a New Method for Computing in Algebraic Number Fields. 289-290
Computer Algebra Systems Implementation I
- Snorri Agnarsson, Mukkai S. Krishnamoorthy, B. David Saunders:
An Algebraic Implementation of Packages. 291-302 - J. M. Greif:
The SMP Pattern Matcher. 303-314 - Ben J. A. Hulshof, J. A. van Hulzen:
An Expression Compression Package for REDUCE based on Factorization and Controlled Expansion. 315-316 - Lars Hörnfeldt:
STENSOR Uses Disc Automatically for Very Large Computations. 317
Symbolic/Numeric Interface I
- Siegfried M. Rump:
Numerical Methods with Automatic Verification. 318-319 - Siegfried M. Rump:
ACRITH - High Accuracy Arithmetic Subroutine Library. 320-321 - Jürgen Wolff von Gudenberg:
Floating-Point Computation in PASCAL-SC with Verified Results. 322-324 - Jürgen Wolff von Gudenberg:
PASCAL-SC Demonstration: Accurate Arithmetic for Verified Results. 325-326 - Asish Mukhopadhyay:
A Solution to the Polynominal Hensel-Code Conversion Problem. 327 - Yu. Matijasevich:
A Posteriori Interval Analysis. 328-334 - Victor G. Ganzha, S. I. Mazurik, Vasily P. Shapeev:
Symbolic Manipulations on a Computer and Their Application to Generation and Investigation of Difference Schemes. 335-347
Rewrite Rules and the Completion Procedure
- Emmanuel Kounalis:
Completeness in Data Type Specifications. 348-362 - Etienne Paul:
On Solving the Equality Problem in Theories Defined by Horn Clauses. 363-377 - Franz Winkler:
Reducing the Complexity of the Knuth-Bendix Completion-Algorithm: A "Unification" of Different Approaches. 378-389 - Wolfgang Küchlin:
A Confluence Criterion Based on the Generalised Neman Lemma. 390-399 - A. J. J. Dick:
ERIL - Equational Reasoning: an Interactive Laboratory. 400-401 - Claude Kirchner, Hélène Kirchner:
Implementation of a General Completion Procedure Parameterized by Built-in Theories and Strategies. 402-404
Applications III
- Arne Hornæs:
Computer Algebra in Norway. 405-406 - Martin Becker, Günter Schellenberger:
GOPPA Codes: Algorithmic Problems. 407-408
Algebraic Algorithms V
- Patrizia M. Gianni, Barry M. Trager:
GCD's and Factoring Multivariate Polynominals Using Gröbner Bases. 409-410 - Marc Giusti:
A Note on the Complexity of Constructing Standard Bases. 411-412 - André Galligo:
Some Algorithmic Questions of Constructing Standard Bases. 413-421 - Wolfgang Trinks:
On Improving Approximate Results of Buchberger's Algorithm by Newton's Method. 608-612
Rewrite Rules and the Completion Procedure II
- John Pedersen:
Obtaining Complete Sets of Reductions and Equations Without Using Special Unification Algorithms. 422-423 - Regina Llopis de Trias, U. Simon Bolivar:
An Overview of Completion Algorithms. 424-428
Computer Algebra Systems Implementation II
- P. D. Pearce, R. J. Hicks:
The Optimisation by "Code Motion" of User Programs for an Algebraic Manipulation System. 429-430 - Douglas A. Young, Paul S. Wang:
An Improved Plotting Package for VAXIMA. 431-432
Automatic Programming I
- Norbert Heck, Jürgen Avenhaus:
On Logic Programs with Data-Driven Computations. 433-443 - François Bergeron, Claude Pichet:
DARWIN, a System designed for the Study of Enumerative Combinatorics. 444-445 - Bernhard Hohlfeld:
Correctness Proofs of the Implementation of Abstract Data Types. 446-447 - Beat D. Brüderlin:
Using Prolog for Constructing Geometric Objects defined by Constraints. 448-459
Applications IV
- S. Bandyopadhyay, John S. Devitt:
The Role of Symbolic Computation in the Management of Scientific Information. 460-461 - H. Exner, F. D. Fischer:
CIM (Computer Integrated Manufacturing) - A Challenge for Symbolic Computation. 462-463 - Helder Coelho
Symbolic and Algebraic Computation May Support Secondary Education. 464-465 - M. Caciotta, F. Iannucci:
Software Toolkit for Input Stage Measurement in Symbolic Computation. 466-467 - P. Boninfante, G. M. Veca:
The Algebraic Manipulation Systems on the Electrical Power Systems. 468-469
Computational Number Theory
- U. Fincke, Michael Pohst:
A New Method of Computing Fundamental Units in Algebraic Number Fields. 470-478 - Johannes Buchmann:
The Generalized Voronoi-Algorithm in Totally Real Algebraic Number Fields. 479-486 - H. Ong, D. Golke:
An Algorithm for the Computation of Perfect Polyhedral Cones over Real Quadratic Number Fields. 487-488 - M. A. Reichert:
Explicit Determination of Non-Trivial Torsion Structures of Elliptic Curves over Quadratic Number Fields. 489-490 - Karin Lamprecht, Horst Günter Zimmer:
P-Adic Algorithms and the Computation of Zeros of P-Adic L-Functions. 491-502 - Attila Pethö:
On the Solution of the Diophantine Equation Gn=pz. 503-512
Algebraic Algorithms VI
- Lorenzo Robbiano:
Term Orderings on the Polynominal Ring. 513-517 - Ferdinando Mora:
An Algorithmic Approach to Local Rings. 518-525 - H. Michael Möller:
A Reduction Strategy for the Taylor Resolution. 526-534 - David Ford, John McKay:
From Polynominals to Galois Groups. 535-536
Parallel Symbolic and Algebraic Computation
- Stephen M. Watt:
A System for Parallel Computer Algebra Programs. 537-538 - Ricardo Caferra, Philippe Jorrand:
Unification in Parallel with Refined Linearity Test: An Example of Recursive Network Structure in FP2, A Functional Parallel Programming Language. 539-540 - Bruno Buchberger:
The Parallel L-Machine for Symbolic Computation. 541-542
Automatic Programming II
- Heinrich Hußmann:
Unification in Conditional Equational Theories. 543-553 - Robert Paige, Fritz Henglein:
Mechanical Translation of Set Theoretic Problem Specifications into Efficient RAM Code - A Case Study. 554-567 - Marta Franová:
A Methodology for Automatic Programming Based on the Constructive Matching Strategy. 568-569 - Alexander Sakharov:
The Structural Synthesis of Programs: New Means. 570-571
Symbolic/Numeric Interface II
- Paul S. Wang:
Taking Advantage of Symmetry in the Automatic Generation of Numerical Programs for Finite Element Analysis. 572-582 - Barbara L. Gates, J. A. van Hulzen:
Automatic Generation of Optimized Programs. 583-584
Computer Analysis
- Michael Karr:
Canonical Form for Rational Exponential Expressions. 585-594 - Michael F. Singer, James H. Davenport:
Elementary and Liouvillian Solutions of Linear Differential Equations. 595-596 - Thomas Wolf:
Analytical Decoupling, Decision of Compatibility and Partial Integration of Systems of Non-Linear Ordinary and Partial Differential Equations. 597-598 - Klaus Nehrkorn:
Symbolic Integration of Exponential Polynominals. 599-600 - Fritz Schwarz:
A REDUCE Package for Determining First Integrals of Autonomous Systems of Ordinary Differential Equations. 601-602 - M. Arcieri, Alfonso Miola, F. Panasiti:
A Package of Tools for Manipulation of Sums and Series. 603-604 - Michael Karr:
Theory of Summation in Finite Terms. 605-606
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