Using Open Mathematical Documents to Interface Computer Algebra and Proof Assistant Systems

Mathematical Knowledge can be encoded by means of Open Mathematical Documents (OMDoc) to interface both Computer Algebra and Proof Assistant systems. In this paper, we show how a unique OMDoc structure can be used to dynamically generate, both a Graphical User Interface for a Computer Algebra system and a script for a Proof Assistant. So, the OMDoc format can be used for representing different aspects. This generic approach has been made concrete through a first prototype interfacing the Kenzo Computer Algebra system and the ACL2 Theorem Prover, both based on the Common Lisp programming language. An OMDoc repository has been developed allowing the user to customize the application in an easy way.