A Tale of Two Set Theories
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F19%3A00339803" target="_blank" >RIV/68407700:21730/19:00339803 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-030-23250-4_4" target="_blank" >https://doi.org/10.1007/978-3-030-23250-4_4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-23250-4_4" target="_blank" >10.1007/978-3-030-23250-4_4</a>
Alternative languages
Result language
angličtina
Original language name
A Tale of Two Set Theories
Original language description
We describe the relationship between two versions of Tarski-Grothendieck set theory: the first-order set theory of Mizar and the higher-order set theory of Egal. We show how certain higher-order terms and propositions in Egal have equivalent first-order presentations. We then prove Tarski’s Axiom A (an axiom in Mizar) in Egal and construct a Grothendieck Universe operator (a primitive with axioms in Egal) in Mizar.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
R - Projekt Ramcoveho programu EK
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Intelligent Computer Mathematics
ISBN
978-3-030-23249-8
ISSN
0302-9743
e-ISSN
1611-3349
Number of pages
17
Pages from-to
44-60
Publisher name
Springer
Place of publication
Cham
Event location
Prague
Event date
Jul 8, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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