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Inductive Definitions

Inductive Definitions. COS 510 David Walker. Inductive Definitions. Inductive definitions play a central role in the study of programming languages They specify the following aspects of a language: Concrete syntax (via CFGs) Abstract syntax (via CFGs/ML datatypes)

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22C:19 Discrete Structures Induction and Recursion

22C:19 Discrete Structures Induction and Recursion. Spring 2014 Sukumar Ghosh. What is mathematical induction?. It is a method of proving that something holds. Suppose we have an infinite ladder , and we want to know if we can reach every step on this ladder.

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Induction Proof

Induction Proof. Well-ordering. A set S is well ordered if every subset has a least element. [0, 1] is not well ordered since (0,1] has no least element. Examples: N is well ordered (under the ? relation). Any coutably infinite set can be well ordered.

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Induction Proof

Induction Proof. Well-ordering. A set S is well ordered if every subset has a least element. [0, 1] is not well ordered since (0,1] has no least element. Examples: N is well ordered (under the ? relation). Any coutably infinite set can be well ordered.

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Recitation 10. Induction

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