Previous work on domain-specific deductive program synthesis described the Amphion/NAIF system for generating Fortran code from high-level graphical specifications describing problems in space system geometry. Amphion/NAIF specifications describe input-output functions that compute geometric quantities (e.g., the distance between two planets at a point in time, or the time when a radio communication path between a spacecraft and earth is occluded) by composing together Fortran subroutines from the NAIF subroutine library developed at the Jet Propulsion Laboratory. In essence, Amphion/NAIF synthesizes code for glueing together the NAIF components in a way such that the generated code implements the specification, with a concurrently generated proof that this implementation is correct. Amphion/NAIF demonstrated the success of domain-specific deductive program synthesis and is still in use today within the space science community. However, a number of questions remained open that we will attempt to answer in this paper.

Motivated by NASA's need for high-assurance software, NASA Ames' Amphion project has developed a generic program generation system based on deductive synthesis. Amphion has a number of advantages, such as the ability to develop a new synthesis system simply by writing a declarative domain theory. However, as a practical matter, the validation of the domain theory for such a system is problematic because the link between generated programs and the domain theory is complex. As a result, when generated programs do not behave as expected, it is difficult to isolate the cause, whether it be an incorrect problem specification or an error in the domain theory. The paper describes a tool being developed that provides formal traceability between specifications and generated code for deductive synthesis systems. It is based on extensive instrumentation of the refutation-based theorem prover used to synthesize programs. It takes augmented proof structures and abstracts them to provide explanations of the relation between a specification, a domain theory, and synthesized code. In generating these explanations, the tool exploits the structure of Amphion domain theories, so the end user is not confronted with the intricacies of raw proof traces. This tool is crucial for the validation of domain theories as well as being important in every-day use of the code synthesis system.