Presburger arithmetic

en

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Presburger arithmetic

Quality:

Presburger arithmetic - first-order theory of the natural numbers with addition. Article “Presburger arithmetic” in English Wikipedia has 33.7 points for quality (as of July 1, 2025). The article contains 19 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 (English) language version.

In June 2025 the article “Presburger arithmetic” was edited by 3 authors in English Wikipedia and written by 4 authors in all languages.

Since the creation of article “Presburger arithmetic”, its content was written by 104 registered users of English Wikipedia and edited by 260 registered Wikipedia users in all languages.

The article is cited 42 times in English Wikipedia and cited 126 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #371 in August 2001
  • Global: #27 in August 2001

The highest popularity rank from 2008:

  • Local (English): #246875 in November 2010
  • Global: #366941 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 July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Presburger arithmetic
33.6685
2German (de)
Presburger-Arithmetik
23.9718
3French (fr)
Arithmétique de Presburger
16.4126
4Italian (it)
Aritmetica di Presburger
11.448
5Portuguese (pt)
Aritmética de Presburger
8.3819
6Japanese (ja)
プレスバーガー算術
5.2509
7Ukrainian (uk)
Арифметика Пресбургера
5.0396
8Russian (ru)
Арифметика Пресбургера
4.6881
9Czech (cs)
Presburgerova aritmetika
3.2901
10Polish (pl)
Arytmetyka Presburgera
0.488
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
400 283
2French (fr)
Arithmétique de Presburger
40 904
3Russian (ru)
Арифметика Пресбургера
22 751
4Japanese (ja)
プレスバーガー算術
20 788
5German (de)
Presburger-Arithmetik
19 130
6Polish (pl)
Arytmetyka Presburgera
9 525
7Portuguese (pt)
Aritmética de Presburger
7 618
8Czech (cs)
Presburgerova aritmetika
7 614
9Italian (it)
Aritmetica di Presburger
2 534
10Ukrainian (uk)
Арифметика Пресбургера
1 145
More...

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

Most popular in June 2025

The most popular language versions of the article "Presburger arithmetic" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Presburger arithmetic
2 466
2Japanese (ja)
プレスバーガー算術
254
3French (fr)
Arithmétique de Presburger
122
4German (de)
Presburger-Arithmetik
114
5Russian (ru)
Арифметика Пресбургера
75
6Czech (cs)
Presburgerova aritmetika
29
7Italian (it)
Aritmetica di Presburger
28
8Polish (pl)
Arytmetyka Presburgera
24
9Portuguese (pt)
Aritmética de Presburger
24
10Ukrainian (uk)
Арифметика Пресбургера
11
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
104
2German (de)
Presburger-Arithmetik
73
3French (fr)
Arithmétique de Presburger
31
4Russian (ru)
Арифметика Пресбургера
13
5Portuguese (pt)
Aritmética de Presburger
12
6Polish (pl)
Arytmetyka Presburgera
8
7Japanese (ja)
プレスバーガー算術
7
8Ukrainian (uk)
Арифметика Пресбургера
6
9Czech (cs)
Presburgerova aritmetika
3
10Italian (it)
Aritmetica di Presburger
3
More...

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

The highest AI in June 2025

Language versions of the article "Presburger arithmetic" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Presburger arithmetic
3
2Italian (it)
Aritmetica di Presburger
1
3Czech (cs)
Presburgerova aritmetika
0
4German (de)
Presburger-Arithmetik
0
5French (fr)
Arithmétique de 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
8Polish (pl)
Arytmetyka Presburgera
5
9German (de)
Presburger-Arithmetik
4
10Ukrainian (uk)
Арифметика Пресбургера
4
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
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:
#246875
11.2010
Global:
#366941
11.2010

AI rank trends

Best Rank English:
#371
08.2001
Global:
#27
08.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

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

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 July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information