Recursively Defined Functions

Related lectures (26)

Page 2 of 3

Introduces Cartesian product and induction for proofs using integers and sets.

Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.

Covers the basics of Coq, focusing on arithmetic expressions, evaluation, and proof techniques.

Covers sequences, induction method, Fibonacci, Bernoulli's inequality, and binomial formula.

Covers the principle of induction for natural numbers and the importance of caution in its application.

Covers the concepts of mathematical and strong induction through an example.

Explores recursion, induction, and the Fibonacci iteration algorithm.

Covers the implementation of recursive functions using substitutions and environments, showcasing the ability to execute computable functions.

Explains the induction principle and proofs by induction with examples like 1 + 3 + 5 + ... + (2n-1) = n².

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.