Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers. The method can be extended to prove statements about more ...

Abstract: In the world of computing, there exists a wide variety of direct and indirect proof techniques for proving new results and propositions. Among the persisting proof techniques, Mathematical ...

Let's start by establishing some foundations for our study of programming languages. We'll see how to define programs as mathematical objects, write functions about ...

Problem Statement: Use mathematical induction to show that a given equation holds for all nonnegative integers ( n ). Solution: The proof involves two main steps: Base Case: Verify the equation for ...

I read the proof and I'm not fully convinced, so I created a branch which includes a picture as a counterexample. Ok, I saw your counterexample picture. It is convincing me. Let's merge it to main.

This course exposes the student to formal mathematical proof, and introduces the theory of sets and number systems. Topics include relations and functions, number systems including formal properties ...

This course introduces the theory of sets and emphasizes formal mathematical proof. Topics include relations and functions, number systems including formal properties of the natural numbers, integers, ...