Presburger arithmetic

en

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Presburger arithmetic

Quality:

Presburger arithmetic - the first-order theory of the natural numbers with addition. Article "Presburger arithmetic" in English Wikipedia has 33.3 points for quality (as of November 1, 2023). The article contains 18 references and 10 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In October 2023 the article "Presburger arithmetic" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Presburger arithmetic", its content was written by 93 registered users of English Wikipedia and edited by 240 registered Wikipedia users in all languages.

The article is cited 42 times in English Wikipedia and cited 125 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #309 in August 2001
  • Global: #9 in August 2001

The highest popularity rank from 2008:

  • Local (English): #247716 in November 2010
  • Global: #367702 in November 2010

There are 10 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Presburger arithmetic
33.2535
2German (de)
Presburger-Arithmetik
24.4281
3French (fr)
Arithmétique de Presburger
16.7704
4Italian (it)
Aritmetica di Presburger
11.8223
5Portuguese (pt)
Aritmética de Presburger
8.3494
6Japanese (ja)
プレスバーガー算術
5.2589
7Ukrainian (uk)
Арифметика Пресбургера
5.1438
8Russian (ru)
Арифметика Пресбургера
4.6921
9Czech (cs)
Presburgerova aritmetika
3.2954
10Polish (pl)
Arytmetyka Presburgera
0.4926
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Presburger arithmetic" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Presburger arithmetic
355 927
2French (fr)
Arithmétique de Presburger
37 800
3Russian (ru)
Арифметика Пресбургера
20 621
4Japanese (ja)
プレスバーガー算術
17 903
5German (de)
Presburger-Arithmetik
16 936
6Polish (pl)
Arytmetyka Presburgera
9 042
7Czech (cs)
Presburgerova aritmetika
7 178
8Portuguese (pt)
Aritmética de Presburger
7 053
9Italian (it)
Aritmetica di Presburger
1 862
10Ukrainian (uk)
Арифметика Пресбургера
1 003
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in October 2023

The most popular language versions of the article "Presburger arithmetic" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Presburger arithmetic
2 456
2French (fr)
Arithmétique de Presburger
282
3Japanese (ja)
プレスバーガー算術
272
4German (de)
Presburger-Arithmetik
99
5Russian (ru)
Арифметика Пресбургера
88
6Italian (it)
Aritmetica di Presburger
55
7Portuguese (pt)
Aritmética de Presburger
36
8Czech (cs)
Presburgerova aritmetika
24
9Polish (pl)
Arytmetyka Presburgera
24
10Ukrainian (uk)
Арифметика Пресбургера
3
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Presburger arithmetic" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Presburger arithmetic
93
2German (de)
Presburger-Arithmetik
73
3French (fr)
Arithmétique de Presburger
27
4Russian (ru)
Арифметика Пресбургера
13
5Portuguese (pt)
Aritmética de Presburger
11
6Japanese (ja)
プレスバーガー算術
6
7Polish (pl)
Arytmetyka Presburgera
6
8Ukrainian (uk)
Арифметика Пресбургера
6
9Czech (cs)
Presburgerova aritmetika
3
10Italian (it)
Aritmetica di Presburger
2
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in October 2023

Language versions of the article "Presburger arithmetic" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Presburger arithmetic
1
2Czech (cs)
Presburgerova aritmetika
0
3German (de)
Presburger-Arithmetik
0
4French (fr)
Arithmétique de Presburger
0
5Italian (it)
Aritmetica di Presburger
0
6Japanese (ja)
プレスバーガー算術
0
7Polish (pl)
Arytmetyka Presburgera
0
8Portuguese (pt)
Aritmética de Presburger
0
9Russian (ru)
Арифметика Пресбургера
0
10Ukrainian (uk)
Арифметика Пресбургера
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Presburger arithmetic" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Presburger arithmetic
42
2French (fr)
Arithmétique de Presburger
25
3Portuguese (pt)
Aritmética de Presburger
15
4Japanese (ja)
プレスバーガー算術
11
5Czech (cs)
Presburgerova aritmetika
7
6Russian (ru)
Арифметика Пресбургера
7
7Italian (it)
Aritmetica di Presburger
6
8German (de)
Presburger-Arithmetik
4
9Polish (pl)
Arytmetyka Presburgera
4
10Ukrainian (uk)
Арифметика Пресбургера
4
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in October 2023:
English:
Global:
Popularity in all years:
English:
Global:
Authors in October 2023:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Presburgerova aritmetika
deGerman
Presburger-Arithmetik
enEnglish
Presburger arithmetic
frFrench
Arithmétique de Presburger
itItalian
Aritmetica di Presburger
jaJapanese
プレスバーガー算術
plPolish
Arytmetyka Presburgera
ptPortuguese
Aritmética de Presburger
ruRussian
Арифметика Пресбургера
ukUkrainian
Арифметика Пресбургера

Popularity rank trends

Best Rank English:
#247716
11.2010
Global:
#367702
11.2010

AI rank trends

Best Rank English:
#309
08.2001
Global:
#9
08.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Presburger arithmetic from Wikipedia articles about Time complexity, NP-complete, Gödels incompleteness theorems, Peano axioms and P versus NP problem. Whereas reading the article about Presburger arithmetic people most often go to Wikipedia articles on Peano axioms, Robinson arithmetic, Mojżesz Presburger, First-order logic and Skolem arithmetic.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information