Mathematics Computer Science and Logic A Never Ending Story : The Bruno Buchberger Festschrift This book presents four mathematical essays which explore the foundations of mathematics and related topics ranging from philosophy and logic to modern computer mathematics. While connected to the historical evolution of these concepts the essays place strong emphasis on developments still to come. The book originated in a 2002 symposium celebrating the work of Bruno Buchberger Professor of Computer Mathematics at Johannes Kepler University Linz Austria on the occasion of his 60th birthday. Among many other accomplishments Professor Buchberger in 1985 was the founding editor of the Journal of Symbolic Computation; the founder of the Research Institute for Symbolic Computation (RISC) and its chairman from 1987 2000; the founder in 1990 of the Softwarepark Hagenberg Austria and since then its director. More than a decade in the making Mathematics Computer Science and Logic A Never Ending Story includes essays by leading authorities on such topics as mathematical foundations from the perspective of computer verification; a symbolic computational philosophy and methodology for mathematics; the role of logic and algebra in software engineering; and new directions in the foundations of mathematics. These inspiring essays invite general mathematically interested readers to share state of the art ideas which advance the never ending story of mathematics computer science and logic. Mathematics Computer Science and Logic A Never Ending Story is edited by Professor Peter Paule Bruno Buchberger’s successor as director of the Research Institute for Symbolic Computation. Preface Henk Barendregt: Foundations of Mathematics from the Perspective of Computer Verification Manfred Broy: On the Role of Logic and Algebra in Software Engineering Stephen Wolfram: New Directions in the Foundations of Mathematics (2002) Doron Zeilberger: Towards a Symbolic Computational Philosophy (and Methodology!) for Mathematics.