=ADD= =author= Windsteiger; Wolfgang + Buchberger; Bruno =title= GR\"OBNER: A Library for Computing Gr\"obner Bases based on SACLIB =number= 93-72 =year= 1993 =sponsor= Austrian Ministery of Science, proj. no. 613.523/3-27a/89 (``Gr"{o}bner Bases''), POSSO project (Polynomial System Solving), Esprit III Basic Research Action 6846, supported by the Austrian Science Foundation. =url= ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1993/93-72.ps.gz =abstract= Almost every computer algebra system contains some implementation of the Gr\"obner bases algorithm. The present implementation has the following specific features: The source code is distributed and publically available free of charge. The library is written in C. A simple but efficient mechanism of polymorphism is implemented that enables the user to adjust the library to a wide variety of coefficient domains, power product and polynomial representations, admissible orderings, selection strategies for pairs, etc. Thus, GR\"OBNER should be a useful tool for those who want to do research in Gr\"obner bases theory and applications and, hence, need access to all details of the implementation and also for those who want to apply the algorithm as a black box, possibly as a subalgorithm in a larger implementation, and need high efficiency. =location= 2 =owner= 2 =source= 3 =reftype= 14