Translating the IMPS theory library to MMT/OMDoc

Abstract

The IMPS system by Farmer, Guttman and Thayer was an influential automated reasoning system, pioneering mechanisations of features like theory morphisms, partial functions with subsorts, and the little theories approach to the axiomatic method. It comes with a large library of formalised mathematical knowledge covering a broad spectrum of different fields. Since IMPS is no longer under development, this library is in danger of being lost. In its present form, it is also not compatible for use with any other mathematical system. To remedy that, we formalise the logic of IMPS (LUTINS), and draw on both the original theory library source files as well as the internal data structures of the system to generate a representation in a modern knowledge management format. Using this approach, we translate the library to OMDoc/MMT and verify the result using type-checking in the MMT system against our implementation of LUTINS.