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Introducing Software Verification with Dafny Language: Proving Program Correctness
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Introducing Software Verification with Dafny Language: Proving Program Correctness

by Boro Sitnikovski
February 2022
Beginner to intermediate
144 pages
1h 58m
English
Apress
Content preview from Introducing Software Verification with Dafny Language: Proving Program Correctness
© The Author(s), under exclusive license to APress Media, LLC, part of Springer Nature 2022
B. SitnikovskiIntroducing Software Verification with Dafny Languagehttps://doi.org/10.1007/978-1-4842-7978-6_7

7. Mathematical Induction

Boro Sitnikovski1  
(1)
Skopje, North Macedonia
 

Mathematical induction was mentioned earlier briefly when we discussed Peano’s axioms. In this chapter, we will provide the exact definition of it.

  Definition 1 Mathematical induction is a proof method that is used to prove that a predicate 𝑃 (𝑛) is true for all natural numbers 𝑛. It consists of proving two parts: a base case and an inductive step.
  • For the base case, we need to ...

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