  Computational Logic is the use of computers to establish facts in a logical
formalism. Originating in 19th-century attempts to understand the nature of
mathematical reasoning, the subject now comprises a wide variety of formalisms,
techniques and technologies. One strand of work follows the "LCF approach"
pioneered by Robin Milner FRS, where proofs can be constructed interactively or
with the help of users' code (which does not compromise correctness). A
refinement of LCF, called Isabelle, retains these advantages while providing
flexibility in the choice of logical formalism and much stronger automation.
The main application of these techniques has been to prove the correctness of
hardware and software systems, but increasingly researchers have been applying
them to mathematics itself.
