Tactics for mechanized reasoning: a commentary on Milner (1984) 'The use of machines to assist in rigorous proof'

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
M J C Gordon

Abstract

Robin Milner's paper, 'The use of machines to assist in rigorous proof', introduces methods for automating mathematical reasoning that are a milestone in the development of computer-assisted theorem proving. His ideas, particularly his theory of tactics, revolutionized the architecture of proof assistants. His methodology for automating rigorous proof soundly, particularly his theory of type polymorphism in programing, led to major contributions to the theory and design of programing languages. His citation for the 1991 ACM A.M. Turing award, the most prestigious award in computer science, credits him with, among other achievements, 'probably the first theoretically based yet practical tool for machine assisted proof construction'. This commentary was written to celebrate the 350th anniversary of the journal Philosophical Transactions of the Royal Society.

References

Oct 13, 1967·Science·A A Peugnet
Dec 2, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·M G Brik
May 6, 2014·Chronic Obstructive Pulmonary Diseases : Journal of the COPD Foundation·James D CrapoDavid M Mannino

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Citations

Mar 7, 2018·Proceedings. Mathematical, Physical, and Engineering Sciences·Lawrence C Paulson

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Software Mentioned

Coq
OCaml
ACL2
REPEAT
LISP
seL4
ORELSE
CompCert C compiler
HOL
HOL Light

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