Lectures related to Recursively Defined Functions

Introduces recursively defined functions, showcasing examples like the Fibonacci numbers.

Explores Fibonacci numbers, rabbit population growth, and recursively defined functions.

Covers mathematical induction, recursively defined functions, and iterative algorithms for problem-solving.

Explains recursion, induction, and proving algorithm correctness through mathematical induction.

Covers topics related to induction and recursion, including mathematical induction proofs and recursive definitions.

Explores recursion and induction for mathematical proofs through recursive algorithms and functions.

Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.

Explains binary search, the logarithm function, and recursive algorithms for factorial and Fibonacci sequences.

Covers the definition of a simple programming language and its big-step semantics, including arithmetic expressions and imperative commands.

Covers real sequences, induction, limits, and convergence in mathematical analysis.

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.