Sciweavers

AISC
2008
Springer
13 years 6 months ago
High-Level Theories
We introduce high-level theories in analogy with high-level programming languages. The basic point is that even though one can define many theories via simple, low-level axiomatiza...
Jacques Carette, William M. Farmer
AISC
2008
Springer
13 years 6 months ago
Case Studies in Model Manipulation for Scientific Computing
Abstract. The same methodology is used to develop 3 different applications. We begin by using a very expressive, appropriate Domain Specific Language, to write down precise problem...
Jacques Carette, Spencer Smith, John McCutchan, Ch...
AISC
2008
Springer
13 years 6 months ago
The Monoids of Order Eight and Nine
We describe the use of symbolic algebraic computation allied with AI search techniques, applied to the problem of the identification, enumeration and storage of all monoids of orde...
Andreas Distler, Tom Kelsey
AISC
2008
Springer
13 years 6 months ago
Parametric Linear Arithmetic over Ordered Fields in Isabelle/HOL
We use higher-order logic to verify a quantifier elimination procedure for linear arithmetic over ordered fields, where the coefficients of variables are multivariate polynomials o...
Amine Chaieb
AISC
2008
Springer
13 years 6 months ago
MetiTarski: An Automatic Prover for the Elementary Functions
Many inequalities involving the functions ln, exp, sin, cos, etc., can be proved automatically by MetiTarski: a resolution theorem prover (Metis) modified to call a decision proced...
Behzad Akbarpour, Lawrence C. Paulson
AISC
2008
Springer
13 years 6 months ago
Notations for Living Mathematical Documents
Abstract. Notations are central for understanding mathematical discourse. Readers would like to read notations that transport the meaning well and prefer notations that are familia...
Michael Kohlhase, Christine Müller, Florian R...
AISC
2008
Springer
13 years 6 months ago
Mediated Access to Symbolic Computation Systems
Kenzo is a symbolic computation system devoted to Algebraic Topology. It has been developed by F. Sergeraert mainly as a research artifact. The challenge is now to increase the nu...
Jónathan Heras, Vico Pascual, Julio Rubio
AISC
2008
Springer
13 years 6 months ago
Unit Knowledge Management
In [9], various observations on the handling of (physical) units in OpenMath were made. In this paper, we update those observations, and make some comments based on a working unit ...
Jonathan Stratford, James H. Davenport
AISC
2008
Springer
13 years 6 months ago
Effective Set Membership in Computer Algebra and Beyond
Abstract. In previous work, we showed the importance of distinguishing "I know that X = Y " from "I don't know that X = Y ". In this paper we look at effec...
James H. Davenport