Improved Polymorphic Syntax Software Foundations Net Worth 2026: Salary, Income & Wealth

The use of implicit arguments makes

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How to define a

Higher-order functions can take functions as input and returns functions as output. The former is explored in the context of the ...

The operation of [simpl] and [reflexivity] tactics can be a confusing part of learning Coq. This optional video leans into some ...

The [intros] tactic is used in Coq to introduce new hypotheses into the proof state. It works with universal quantifications and ...

The [option] type provides a principled way to represent partial functions. Whereas other languages use exceptions, Coq uses ...

Many proofs about lists use the [destruct] or [induction] tactics. An example of each is presented. Textbook: ...

Lists are a phenomenally useful type in functional programming. Coq lists are defined as inductive data types. Functions are ...

An extended example: a proof that reversing a list preserves its length. This proof uses induction, and causes us to invent a lemma ...

Higher-order functions can return functions as results. That reveals a deep mystery about the types of "multi-argument" functions, ...

Pairs and tuples are types that represent a fixed-length sequence of values. Pairs make a great warm-up for defining lists in Coq.

A partial (or finite) map is defined very much like a list in Coq. The [find] and [update] operations are easy to code with the help of ...