Reviews for the American Mathematical Society (AMS): Russell O’Connor. Classical mathematics for a constructive world. MSCS (21): 861–882, Cambridge University Press. 2010.

Article

Kammueller, F. 2012. Reviews for the American Mathematical Society (AMS): Russell O’Connor. Classical mathematics for a constructive world. MSCS (21): 861–882, Cambridge University Press. 2010. Mathematical Reviews.
TypeArticle
TitleReviews for the American Mathematical Society (AMS): Russell O’Connor. Classical mathematics for a constructive world. MSCS (21): 861–882, Cambridge University Press. 2010.
AuthorsKammueller, F.
Abstract

Russell O'Connor presents an alternative method of bridging the gap between constructive and classical logics to facilitate integrated reasoning in particular for interactive theorem provers. Instead of adding classical axioms (like the principle of the excluded middle x∨¬x) to a constructive logic, the author proposes the opposite. He interprets constructive logics as an extension to classical logics by adding two new logical connectives + and Σ for constructive disjunction and constructive existential quantification.

Research GroupFoundations of Computing group
Artificial Intelligence group
PublisherAmerican Mathematical Society (AMS)
JournalMathematical Reviews
Publication process dates
Deposited31 May 2012
Output statusPublished
Web address (URL)http://www.ams.org/mathscinet-getitem?mr=2817882
LanguageEnglish
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