Formalizing set theory as it is actually used

Arnon Avron*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present a formalization of the axiomatic set theory ZF which reflects real mathematical practice, and is easy for mechanical manipulation and interactive theorem proving. Unlike the standard first-order formalizations, our version provides a rich class of abstraction terms denoting sets on the one hand, and is based on purely syntactical (rather than semantic) considerations on the other hand.

Original languageEnglish
Title of host publicationMathematical Knowledge Management
EditorsAndrea Asperti, Grzegorz Bancerek, Andrzej Trybulec
PublisherSpringer Verlag
Pages32-43
Number of pages12
Edition1
ISBN (Electronic)978-3-540-27818-4
ISBN (Print)978-3-540-23029-8
DOIs
StatePublished - 2004
EventThird International Conference, MKM 2004 - , Poland, September 19-21, 2004. , Białowieża, Poland
Duration: 19 Sep 200421 Sep 2004

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3119
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceThird International Conference, MKM 2004
Country/TerritoryPoland
CityBiałowieża
Period19/09/0421/09/04

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