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- Title
Hammering towards QED.
- Authors
Blanchette, Jasmin C.; Kaliszyk, Cezary; Paulson, Lawrence C.; Urban, Josef
- Abstract
This paper surveys the emerging methods to automate reasoning over large libraries developed with formal proof assistants. We call these methods hammers. They give the authors of formal proofs a strong "one-stroke" tool for discharging diffiult lemmas without the need for careful and detailed manual programming of proof search. The main ingredients underlying this approach are effient automatic theorem provers that can cope with hundreds of axioms, suitable translations of the proof assistant's logic to the logic of the automatic provers, heuristic and learning methods that select relevant facts from large libraries, and methods that reconstruct the automatically found proofs inside the proof assistants. We outline the history of these methods, explain the main issues and techniques, and show their strength on several large benchmarks. We also discuss the relation of this technology to the QED Manifesto and consider its implications for QED-like efforts.
- Subjects
REASONING; LIBRARIES; COMPUTER network resources
- Publication
Journal of Formalized Reasoning, 2016, Vol 9, Issue 1, p101
- ISSN
1972-5787
- Publication type
Article