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...
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...
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...
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...
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...
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 ...
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...
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...
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...
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...