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Chapter 3 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 3 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 3 (Part 3): Mathematical Reasoning, Induction & Recursion. Recursive Algorithms (3.5) Program Correctness (3.6). Recursive Algorithm (3.5). Goal: Reduce the solution to a problem with a particular set of input to the solution of the same problem with smaller input values Example:

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Chapter 4 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 4 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 4 (Part 3): Mathematical Reasoning, Induction & Recursion. Recursive Algorithms (4.4) Program Correctness (4.5). Recursive Algorithm (4.4). Goal: Reduce the solution to a problem with a particular set of input to the solution of the same problem with smaller input values

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286 views • 28 slides
Program Correctness

Program Correctness

Program Correctness. Program Verification. An object is a finite state machine: Its attribute values are its state. Its methods optionally: Transition it from 1 state to another; Produce a return value. We deal with static methods: Functions. The discussion can be extended to objects.

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4.5 Program Correctness

4.5 Program Correctness

4.5 Program Correctness. Definition 1: A program, or program segment, S is said to be partially correct with respect to the initial assertion p and the final assertion q if whenever p is true for the input values of S and S terminates, then q is true for the output values of S.

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4.5 Program Correctness

4.5 Program Correctness

4.5 Program Correctness. Definition 1: A program, or program segment, S is said to be partially correct with respect to the initial assertion p and the final assertion q if whenever p is true for the input values of S and S terminates, then q is true for the output values of S.

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102 views • 8 slides

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