3. The Logic of Quantified Statements Sequences

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3. The Logic of Quantified Statements Sequences Mathematical Induction I Mathematical Induction II Well-Ordering Principle Recurrence Relations 1 Aaron Tan 8. Mathematical Induction AY202627 Semester 1 2 Sequences Mathematical Induction I

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3. The Logic of Quantified Statements Sequences Mathematical Induction I Mathematical Induction II Well-Ordering Principle Recurrence Relations 1 Aaron Tan 8. Mathematical Induction AY2026/27 Semester 1<br>
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2 Sequences Mathematical Induction I Mathematical Induction II Well-Ordering Principle Recurrence Relations Mathematical Induction A very powerful method for showing a property is true for national numbers (0, 1, 2, 3, …)
It characterizes the natural numbers (by Dedekind-Peano axioms). Importance of Mathematical Induction in Computer Science Mathematical induction (MI) plays a central role in discrete mathematics and computer science. It is a defining characteristics of discrete mathematics.
MI and recursion are closely linked. Hence, proof of correctness for recursive algorithms are usually done with MI.
Natural generalizations of induction characterize recursively defined objects.<br>
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3 8. Mathematical Induction Sequences Mathematical Induction I Mathematical Induction II Well-Ordering Principle Recurrence Relations Reference: Epp’s Chapter 5 Sequences, Mathematical Induction and Recursion<br>