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Induction and Recursion: Mathematical and Strong Induction - An Example
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Proofs by Induction: Principles and Examples
Explains the induction principle and proofs by induction with examples like 1 + 3 + 5 + ... + (2n-1) = n².
Fibonacci Numbers: Recursion and Induction
Explores Fibonacci numbers, rabbit population growth, and recursively defined functions.
Inductive Propositions: Reasoning and Evaluation Techniques
Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.
Complexity & Induction: Algorithms & Proofs
Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.
Complexity & Induction: Algorithms & Proofs
Explores worst-case complexity, mathematical induction, and algorithms like binary search and insertion sort.
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Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.
Recurrence Demonstrations: Principle and Examples
Covers the principle of recurrence demonstrations with examples illustrating the process step by step.
Induction and Recursion: Summary
Covers mathematical induction, recursively defined functions, and iterative algorithms for problem-solving.
Recursion and Induction: Proving Algorithms Correctly
Explains recursion, induction, and proving algorithm correctness through mathematical induction.
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Covers laws of list concatenation, proof by induction, referential transparency, and structural induction.