------------------------------------------------------------------------------- B O S T O N U N I V E R S I T Y Computer Science Department C O L L O Q U I U M Wednesday December 8, 1993 3:00pm (Tea served at 2:30pm) Seminar Room / MCS 135 ------------------------------------------------------------------------------ IMPS: A Human-Oriented Mathematical Reasoning System William M. Farmer The MITRE Corporation Bedford, MA IMPS is an Interactive Mathematical Proof System developed by W. M. Farmer, J. D. Guttman, and F. J. Thayer and now available to the public without fee (under a public license) via anonymous ftp at math.harvard.edu. It is a computer environment for practicing rigorous mathematics using traditional techniques. Its primary objective is to reinforce and improve human modes of mathematical reasoning, not to perform automated, human-independent deductions. The paramount importance given to supporting human reasoning sets IMPS apart from most contemporary mathematical reasoning systems. The system consists of a library of axiomatic theories (linked by theory interpretations) and a collection of tools for exploring, applying, extending, and communicating the mathematics stored in the theory library. Currently, the theory library contains significant portions of logic, algebra, and analysis with over 1100 replayable proofs. The talk will have two parts. The first will be a brief overview of the system emphasizing the human-oriented nature of IMPS. The second will discuss potential applications of IMPS in mathematics, formal methods, symbolic computation, and education. A demonstration of IMPS will follow the talk. Host: Professor Wayne Snyder ------------------------------------------------------------------------------- For more information contact Prof. Azer Bestavros -------------------------------------------------------------------------------