Abstract not found

We have implemented a partial evaluator for Maple. One of the applications of this partial evaluator is to find, in Maple, what is the difference between generic or symbolic evaluation, and complete evaluation. More precisely, when asked degree(a*xˆ2+3,x), Maple replies 2, which is generically true. However, we are interested in the residual formula ¬(a = 0) which, as a guard, makes the answer 2 correct. While special algorithms have been derived in the past for this particular situation, we show how we can derive many of these algorithms as special cases of partially evaluating Maple code. Key words: Maple, symbolic computation, partial evaluation, specialization problem 1

NUMBER OF PAGES: 1, 104This work is dedicated to my wife, Kate. Partial Evaluation (PE) is a program transformation technique that generates a specialized version of a program with respect to a subset of its inputs. PE is an automatic approach to program generation and meta-programming. This thesis presents a method of partially evaluating Maple programs using a fully online methodology. We present an implementation called MapleMIX, and use it towards two goals. Firstly we show how MapleMIX can be used to generate optimized versions of generic programs written in Maple. Secondly we use MapleMIX to mine symbolic computation code for residual theorems, which we present as precise solutions to parametric problems encountered in Computer Algebra Systems. The implementation of MapleMIX has been modularized using a high-level intermediate language called M-form. Several syntax transformations from Maple to M-form make it an ideal representation for performing program specialization. Many specialization techniques have been explored including a novel online approach to handle