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Logic, programming, and type systems

Logic, programming, and type systems is a research topic within Artificial Intelligence. Science Explorer counts 39k research works in it since 1950. 23.6% of them reached the world's top 10% most cited for their field and year.

This cluster of papers covers a wide range of program analysis and verification techniques, including static analysis, formal verification, type inference, memory management, concurrency, garbage collection, separation logic, model checking, abstract interpretation, and programming language semantics.

  • Static Analysis
  • Formal Verification
  • Type Inference
  • Memory Management
  • Concurrency
  • Garbage Collection
  • Separation Logic
  • Model Checking
  • Abstract Interpretation
  • Programming Language Semantics
Research works
39k
fractional, since 1950
In the world top 10%
9.1k
per year above
Top-10% rate
23.6%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
-23%
the tick is no change

Which countries lead Logic, programming, and type systems research?

By volume, the United States and Germany publish the most (467 and 257 works in 2022–2025).

By volume, 2022–2025

  1. 1 United States 467 works
  2. 2 Germany 257 works
  3. 3 France 235 works
  4. 4 United Kingdom 223 works
  5. 5 China 165 works
  6. 6 Italy 149 works
  7. 7 Japan 107 works
  8. 8 Netherlands 93 works
  9. 9 Canada 66 works
  10. 10 Austria 64 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

United States: 25.6%Germany: 14.1%France: 12.9%United Kingdom: 12.2%6 others listed: 35.2%26%largest
United States467 · 25.6%Germany257 · 14.1%France235 · 12.9%United Kingdom223 · 12.2%6 others listed643 · 35.2%

Shares of the rows listed above, not of the whole node.

Which institutions lead Logic, programming, and type systems research?

By volume in 2022–2025, Centre National de la Recherche Scientifique publishes the most Logic, programming, and type systems research, followed by TU Wien and University of Oxford.

By volume, 2022–2025

  1. 1 Centre National de la Recherche Scientifique France 35 works
  2. 2 TU Wien Austria 29 works
  3. 3 University of Oxford United Kingdom 25 works
  4. 4 Carnegie Mellon University United States 23 works
  5. 5 University of Cambridge United Kingdom 19 works
  6. 6 Institut national de recherche en sciences et technologies du numérique France 19 works
  7. 7 University of Copenhagen Denmark 17 works
  8. 8 University of Amsterdam Netherlands 16 works
  9. 9 Imperial College London United Kingdom 16 works
  10. 10 RWTH Aachen University Germany 15 works

Who are the leading researchers in Logic, programming, and type systems?

The most-cited researchers publishing on Logic, programming, and type systems include E. ̃Tassi, Adi Shamir and Donald E. Knuth.

  1. 1 E. ̃Tassi 6.9k citations
  2. 2 Adi Shamir 6.3k citations
  3. 3 Donald E. Knuth 4k citations
  4. 4 Robert E. Tarjan 3.9k citations
  5. 5 Łukasz Kaiser 3.7k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Logic, programming, and type systems research done?

The largest centres of Logic, programming, and type systems research in 2022–2025 are Paris (France), Beijing (China), London (United Kingdom) and Moscow (Russia). Among places with at least 20 works in it, it is an unusually large share of all research in Saarbrücken.

Largest cities, 2022–2025

  1. 1 Paris France 79 works
  2. 2 Beijing China 57 works
  3. 3 London United Kingdom 46 works
  4. 4 Moscow Russia 38 works
  5. 5 Tokyo Japan 36 works
  6. 6 Vienna Austria 33 works
  7. 7 Prague Czechia 33 works
  8. 8 Munich Germany 30 works
  9. 9 Saarbrücken Germany 27 works
  10. 10 Oxford United Kingdom 26 works

Where it is the local speciality

  1. SaarbrückenDE · 26.9 works31×
← less than its size predictsmore →

Location quotient: how much more of its research is in Logic, programming, and type systems than the world average.

See Logic, programming, and type systems on the map

Where is the best place to study Logic, programming, and type systems?

Among universities, judged by research, TU Wien, Carnegie Mellon University and Ruhr University Bochum score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%10%20%mean 11.81%fractional works in this node (log) →share in the world top 10% →TU Wien: 29, 11.3%Carnegie Mellon University: 23, 8.5%Ruhr University Bochum: 11, 7.8%University of Oxford: 25, 13.6%University of Amsterdam: 16, 11.6%Aarhus University: 15, 16.6%University of Tübingen: 14, 10.6%Tallinn University of Technology: 10, 12.3%University of Copenhagen: 17, 6.8%University College London: 13, 19.0%University of OxfordTU WienCarnegie Mellon Univ…Ruhr University Bochum
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1TU Wien Austria 60.211.3%35.8×29 +37.8%
2Carnegie Mellon University United States 52.48.5%21.9×23 +35.4%
3Ruhr University Bochum Germany 51.67.8%10.6×11 +201.2%
4University of Oxford United Kingdom 49.813.6%7.8×25 -30.2%
5University of Amsterdam Netherlands 49.711.6%11.8×16 -17.0%
6Aarhus University Denmark 46.916.6%8.1×15 -11.4%
7University of Tübingen Germany 46.810.6%14.4×14 +4.3%
8Tallinn University of Technology Estonia 46.812.3%31.0×10 +34.2%
9University of Copenhagen Denmark 46.76.8%9.7×17 -27.7%
10University College London United Kingdom 46.719.0%3.7×13 +224.5%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Logic, programming, and type systems research growing?

Output in 2018–2022 was 23% lower than in 2013–2017, peaking in 2002.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.