mathematics

Functional logic programming

Functional logic programming is a mathematics 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 Functional logic programming rather than just read about it. In short: Functional logic programming is the combination, in a single programming language, of the paradigms of functional programming and logic programming. This style of programming is embodied by various programming languages, including Curry and Mercury.

Key takeaways

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

Reference excerpt

Functional logic programming is the combination, in a single programming language, of the paradigms of functional programming and logic programming. This style of programming is embodied by various programming languages, including Curry and Mercury. A more recent example is Verse. A journal devoted to the integration of functional and logic programming was published by MIT Press and the European Association for Programming Languages and Systems between 1995 and 2008.

References

External links Functional logic programming at U. Kiel "func" library for SWI-Prolog

Worked examples

Example 1 — a first encounter with Functional logic programming

Start with the simplest possible case. Write down what Functional logic programming claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, 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 Functional logic programming 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 Functional logic programming 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 Functional logic programming

In research: Functional logic programming appears in mathematics 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 Functional logic programming 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: Functional logic programming is common in secondary-school and first-year university syllabi. It links to neighbouring topics Functional logic programming languages, Functional programming, Logic programming, so understanding it makes those chapters shorter.
In everyday life: Look for Functional logic programming 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 Functional logic programming in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Functional logic programming 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 Functional logic programming out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Functional logic programming in simple terms?

Why does Functional logic programming matter?

Because it connects several mathematics 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 Functional logic programming?

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 Functional logic programming.