Normal modal logic

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Normal modal logic

Quality:

Normal modal logic - set of modal formulas containing all propositional tautologies and all instances of the Kripke schema ◻(A→B)→(◻A→◻B) and closed under modus ponens and necessitation. Article “Normal modal logic” in English Wikipedia has 3.8 points for quality (as of July 1, 2025). The article contains 0 references and 2 sections.

This article has the best quality in Russian Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Normal modal logic”, its content was written by 26 registered users of English Wikipedia and edited by 74 registered Wikipedia users in all languages.

The article is cited 44 times in English Wikipedia and cited 81 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #27966 in August 2004
  • Global: #26245 in August 2004

The highest popularity rank from 2008:

  • Local (English): #935371 in February 2008
  • Global: #1337965 in February 2008

There are 9 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
1Russian (ru)
Нормальная модальная логика
6.299
2Chinese (zh)
正规模态逻辑
4.2166
3English (en)
Normal modal logic
3.8117
4French (fr)
Logique modale normale
2.8064
5Italian (it)
Logica modale normale
2.2402
6Japanese (ja)
正規様相論理
1.8784
7Portuguese (pt)
Lógica modal normal
1.5702
8Persian (fa)
منطق وجهی نرمال
1.3855
9German (de)
Normale Modallogik
1.3681
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 "Normal modal logic" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Normal modal logic
76 444
2Chinese (zh)
正规模态逻辑
6 045
3German (de)
Normale Modallogik
5 189
4Portuguese (pt)
Lógica modal normal
4 429
5French (fr)
Logique modale normale
2 513
6Russian (ru)
Нормальная модальная логика
975
7Persian (fa)
منطق وجهی نرمال
914
8Italian (it)
Logica modale normale
487
9Japanese (ja)
正規様相論理
390
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 "Normal modal logic" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Normal modal logic
450
2Russian (ru)
Нормальная модальная логика
48
3Japanese (ja)
正規様相論理
33
4Chinese (zh)
正规模态逻辑
32
5French (fr)
Logique modale normale
26
6Portuguese (pt)
Lógica modal normal
24
7German (de)
Normale Modallogik
14
8Italian (it)
Logica modale normale
13
9Persian (fa)
منطق وجهی نرمال
4
More...

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

The highest AI

Language versions of the article "Normal modal logic" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Normal modal logic
26
2German (de)
Normale Modallogik
21
3Persian (fa)
منطق وجهی نرمال
6
4French (fr)
Logique modale normale
6
5Portuguese (pt)
Lógica modal normal
6
6Italian (it)
Logica modale normale
3
7Japanese (ja)
正規様相論理
2
8Russian (ru)
Нормальная модальная логика
2
9Chinese (zh)
正规模态逻辑
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 June 2025

Language versions of the article "Normal modal logic" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Normale Modallogik
0
2English (en)
Normal modal logic
0
3Persian (fa)
منطق وجهی نرمال
0
4French (fr)
Logique modale normale
0
5Italian (it)
Logica modale normale
0
6Japanese (ja)
正規様相論理
0
7Portuguese (pt)
Lógica modal normal
0
8Russian (ru)
Нормальная модальная логика
0
9Chinese (zh)
正规模态逻辑
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 "Normal modal logic" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Normal modal logic
44
2Chinese (zh)
正规模态逻辑
12
3Italian (it)
Logica modale normale
7
4Portuguese (pt)
Lógica modal normal
5
5Russian (ru)
Нормальная модальная логика
4
6Persian (fa)
منطق وجهی نرمال
3
7French (fr)
Logique modale normale
3
8German (de)
Normale Modallogik
2
9Japanese (ja)
正規様相論理
1
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
deGerman
Normale Modallogik
enEnglish
Normal modal logic
faPersian
منطق وجهی نرمال
frFrench
Logique modale normale
itItalian
Logica modale normale
jaJapanese
正規様相論理
ptPortuguese
Lógica modal normal
ruRussian
Нормальная модальная логика
zhChinese
正规模态逻辑

Popularity rank trends

Best Rank English:
#935371
02.2008
Global:
#1337965
02.2008

AI rank trends

Best Rank English:
#27966
08.2004
Global:
#26245
08.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Normal modal logic from Wikipedia articles about Modal logic, S5, Kripke semantics, Provability logic and K. Whereas reading the article about Normal modal logic people most often go to Wikipedia articles on Kripke semantics, Modal logic, S5, Regular modal logic and Classical modal 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