Extended Natural Numbers and Counters
This article introduces extended natural numbers, i.e. the set ℕ ∪ {+∞}, in Mizar [4], [3] and formalizes a way to list a cardinal numbers of cardinals. Both concepts have applications in graph theory.
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| Format: | Article |
| Language: | English |
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Sciendo
2020-10-01
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| Series: | Formalized Mathematics |
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| Online Access: | https://doi.org/10.2478/forma-2020-0021 |
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doaj-89e92d340e8746f393254ce1bd7d6a0a |
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Article |
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doaj-89e92d340e8746f393254ce1bd7d6a0a2021-09-05T21:01:04ZengSciendoFormalized Mathematics1426-26301898-99342020-10-0128323924910.2478/forma-2020-0021Extended Natural Numbers and CountersKoch Sebastian0Johannes Gutenberg University, Mainz, GermanyThis article introduces extended natural numbers, i.e. the set ℕ ∪ {+∞}, in Mizar [4], [3] and formalizes a way to list a cardinal numbers of cardinals. Both concepts have applications in graph theory.https://doi.org/10.2478/forma-2020-0021cardinalsequenceextended natural numbers03e10 68v20 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Koch Sebastian |
| spellingShingle |
Koch Sebastian Extended Natural Numbers and Counters Formalized Mathematics cardinal sequence extended natural numbers 03e10 68v20 |
| author_facet |
Koch Sebastian |
| author_sort |
Koch Sebastian |
| title |
Extended Natural Numbers and Counters |
| title_short |
Extended Natural Numbers and Counters |
| title_full |
Extended Natural Numbers and Counters |
| title_fullStr |
Extended Natural Numbers and Counters |
| title_full_unstemmed |
Extended Natural Numbers and Counters |
| title_sort |
extended natural numbers and counters |
| publisher |
Sciendo |
| series |
Formalized Mathematics |
| issn |
1426-2630 1898-9934 |
| publishDate |
2020-10-01 |
| description |
This article introduces extended natural numbers, i.e. the set ℕ ∪ {+∞}, in Mizar [4], [3] and formalizes a way to list a cardinal numbers of cardinals. Both concepts have applications in graph theory. |
| topic |
cardinal sequence extended natural numbers 03e10 68v20 |
| url |
https://doi.org/10.2478/forma-2020-0021 |
| work_keys_str_mv |
AT kochsebastian extendednaturalnumbersandcounters |
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