True/False: A reduction is solving problem A using problem B where an algorithm for B exists (for example redefining an optimization problem as a search problem).Question 4Select one:TrueFalse

To answer the question, we need to determine whether the statement is true or false.

Step 1: Understand the statement The statement is discussing the concept of reduction in problem-solving. It states that a reduction involves solving problem A using problem B, where an algorithm for problem B already exists. It provides an example of redefining an optimization problem as a search problem.

Step 2: Analyze the statement To determine if the statement is true or false, we need to consider the definition of reduction. A reduction is a technique used in computer science to solve one problem by transforming it into another problem for which a solution already exists. In this case, problem A is being solved using problem B, where an algorithm for problem B exists.

Step 3: Evaluate the statement Based on the definition of reduction, the statement is true. If problem B has a known algorithm, it can be used to solve problem A by transforming problem A into problem B and applying the existing algorithm.

Step 4: Final answer The answer to the question is True. A reduction involves solving problem A using problem B, where an algorithm for problem B exists.