Biform Theories: Project Description [chapter]

Jacques Carette, William M. Farmer, Yasmine Sharoda
2018 Lecture Notes in Computer Science  
A biform theory is a combination of an axiomatic theory and an algorithmic theory that supports the integration of reasoning and computation. These are ideal for specifying and reasoning about algorithms that manipulate mathematical expressions. However, formalizing biform theories is challenging as it requires the means to express statements about the interplay of what these algorithms do and what their actions mean mathematically. This paper describes a project to develop a methodology for
more » ... ressing, manipulating, managing, and generating mathematical knowledge as a network of biform theories. It is a subproject of MathScheme, a long-term project at McMaster University to produce a framework for integrating formal deduction and symbolic computation. We present the Biform Theories project, a subproject of MathScheme [11] (a long-term project to produce a framework integrating formal deduction and symbolic computation).
doi:10.1007/978-3-319-96812-4_7 fatcat:mfnjy35dmnfodklduuby5gj7gq