Sciweavers

AISC
2008
Springer
13 years 10 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 10 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 10 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 10 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 10 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 10 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 10 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
AISC
2008
Springer
13 years 10 months ago
Towards an Implementation of a Computer Algebra System in a Functional Language
This paper discusses the pros and cons of using a functional language for implementing a computer algebra system. The contributions of the paper are twofold. Firstly, we discuss so...
Oleg Lobachev, Rita Loogen
AISC
2008
Springer
13 years 10 months ago
Strategies for Solving SAT in Grids by Randomized Search
Grid computing offers a promising approach to solving challenging computational problems in an environment consisting of a large number of easily accessible resources. In this pape...
Antti Eero Johannes Hyvärinen, Tommi A. Juntt...
AISC
2008
Springer
13 years 10 months ago
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
Peter Chapman, James McKinna, Christian Urban