this document I will lay out a possible PhD project in Automated Reasoning, discussing the principle objectives, some implementation ideas, and alternative lines of research if unexpected obstacles arise. The aim is that this plan will be suciently detailed to serve as proof of concept for the project.

The use of formal methods in software development seeks to increase our confidence in the resultant system. Their use often requires tool support, so the integrity of a development using formal methods is dependent on the integrity of the tool-set used. Specifically its integrity depends on the theorem prover, since in a typical formal development system the theorem prover is used to establish the validity of the proof obligations incurred by all the steps in the design and refinement process. In this