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Ordinals in HOL: Transfinite Arithmetic up to (and Beyond) ω1

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dc.contributor.authorNorrish, Michael
dc.contributor.authorHuffman, Brian
dc.date.accessioned2015-12-10T23:20:19Z
dc.date.issued2013
dc.date.updated2016-02-24T10:58:07Z
dc.description.abstractWe describe a comprehensive HOL mechanisation of the theory of ordinal numbers, focusing on the basic arithmetic operations. Mechanised results include the existence of fixpoints such as ε 0, the existence of normal forms, and the validation of algorithm
dc.identifier.isbn9783642396335
dc.identifier.urihttp://hdl.handle.net/1885/66272
dc.publisherSpringer Science + Business Media
dc.relation.ispartofLecture Notes in Computer Science: Interactive Theorem Proving
dc.relation.isversionof1st Edition
dc.subjectKeywords: Arithmetic operations; Fixpoints; Mechanisation; Normal form; Ordinal number; Machinery; Number theory; Theorem proving
dc.titleOrdinals in HOL: Transfinite Arithmetic up to (and Beyond) ω1
dc.typeBook chapter
local.bibliographicCitation.lastpage146
local.bibliographicCitation.placeofpublicationHeidelberg
local.bibliographicCitation.startpage133
local.contributor.affiliationNorrish, Michael, College of Engineering and Computer Science, ANU
local.contributor.affiliationHuffman, Brian, Galois Inc
local.contributor.authoruidNorrish, Michael, u4087502
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor080201 - Analysis of Algorithms and Complexity
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciences
local.identifier.ariespublicationu4334215xPUB1255
local.identifier.doi10.1007/978-3-642-39634-2_12
local.identifier.scopusID2-s2.0-84882762773
local.type.statusPublished Version

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