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2018 ; 474
(2210
): 20170872
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English Wikipedia
Computational logic: its origins and applications
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Proc Math Phys Eng Sci
2018[Feb]; 474
(2210
): 20170872
PMID29507522
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Computational logic is the use of computers to establish facts in a logical
formalism. Originating in nineteenth 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 'logic for computable
functions (LCF) approach' pioneered by Robin Milner, 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.