computer science

John Tromp

John Tromp is a computer science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand John Tromp rather than just read about it. In short: John Tromp is a Dutch computer scientist. He formerly worked for the Dutch Centre for Mathematics and Computer Science.

Key takeaways

John Tromp belongs to computer science; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect John Tromp to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of John Tromp from memory before moving on to harder problems.

Reference excerpt

John Tromp is a Dutch computer scientist. He formerly worked for the Dutch Centre for Mathematics and Computer Science. Tromp discovered the number of legal states of the board game Go, and co-authored with Bill Taylor the Tromp–Taylor rules, which they call "the logical rules of Go". He is also known for his work in binary combinatory logic (binary lambda calculus) and lambda diagrams that supply a graphical way of representing lambda calculus expressions. Tromp has done research on a lambda calculus-equivalent to the busy beaver function.

References

External links John Tromp's homepage at GitHub John Tromp's entry on the Chess Programming Wiki "Lambda Diagrams". Lambda Diagrams. Retrieved 2025-03-24. "What is PLUS times PLUS?". YouTube. 2025-03-06. Retrieved 2025-03-24. "Tromp Interview (The Big Numbers of Go)". YouTube. Numberphile. 2024-03-06.

Worked examples

Example 1 — a first encounter with John Tromp

Start with the simplest possible case. Write down what John Tromp claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to John Tromp before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about John Tromp ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of John Tromp

In research: John Tromp appears in computer science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses John Tromp in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: John Tromp is common in secondary-school and first-year university syllabi. It links to neighbouring topics 21st-century Dutch scientists, Computer scientist stubs, Dutch computer scientists, so understanding it makes those chapters shorter.
In everyday life: Look for John Tromp outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study John Tromp in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what John Tromp means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain John Tromp out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is John Tromp in simple terms?

John Tromp is a Dutch computer scientist. He formerly worked for the Dutch Centre for Mathematics and Computer Science.

Why does John Tromp matter?

Because it connects several computer science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study John Tromp?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on John Tromp.