Prove that alphabeta pruning takes time O(2 m/2 ) with optimal move ordering, where m is the

Question:

Prove that alpha–beta pruning takes time O(2^m/2) with optimal move ordering, where m is the maximum depth of the game tree.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Artificial Intelligence A Modern Approach

ISBN: 978-0136042594

3rd edition

Authors: Stuart Russell, Peter Norvig

See More Books

Question Posted: Jan 05, 2019 11:13 AM

See More Questions

What is the maximum depth of a Fibonacci heap?
Develop a formal proof of correctness for alpha-beta pruning. To do this, consider the situation shown in Figure. The question is whether to prune node nj, which is a max- node and a descendant of...
Prove that the generic pusher label algorithm spends a total of only O(V E) time in performing all the O(V2) relabel operations.
Describe how organizations should apply the general principles of the Uniform Guidelines on Employee Selection Procedures to practical selection decisions.
Choose a real-life example of a firm that you think is part of an oligopoly market and describe the characteristics of the market structure that explain why the firm would be classified as such.
Refer to Remingtons financial statements in Exercise 12-65 and the information below. Required: 1. Perform Dupont analysis (in percentage terms, rounded to two decimal places) for 2010 and 2011. 2....
Hunt Sports Enterprises LP is organized as a limited partnership consisting of two individual partners: Soccer LP and Football LP. Both partners separately operate a minor league soccer team and a...
The installation of a flexible manufacturing system allows firms to produce a variety of products in small batches. Assume Johnson Steel, a metal fabricating company, is considering switching from a...
A company considering purchasing equipment that costs $5,000,000 today and costs $100,000 per year to operate starting one year from now. It will last for 12 years when it will be sold. Its is...
When Nitrogen Media was acquired by General Electric's NBC Universal unit, Nitrogen's Vice President of Finance, Babs Grogan, was terminated as a Nitrogen employee, but hired by NBCU as an outside...
This question considers pruning in games with chance nodes. Figure 5.19 shows the complete game tree for a trivial game. Assume that the leaf nodes are to be evaluated in left-to-right order, and...
Describe how the minimax and alphabeta algorithms change for two-player, nonzero- sum games in which each player has a distinct utility function and both utility functions are known to both players....
The New York City police department practices a stop-and-frisk policy by which a police officer can stop and question those the officer reasonably believes have committed, are committing, or are...
How do these relevant legal principles apply: Duty of care Duty of obedience Duty of loyalty Shareholder Derivative suit Piercing the corporate veil...
what will you do as a hotel manager if a customer complained about bad service they received?
How do marketers use new products to maintain and grow their market share? Your response must include a specific example of a company that successfully grew its business or attracted a new target...
How do you encourage cross-functional synergy within your organization to break down silos and facilitate innovative solutions to complex challenges ?
1. what is intended internal resource strategies. How do you plan to develop or acquire resources (tangible and/or intangible) that would generate core competencies? What are examples of resource...
For each function in Exercises, find (a) The critical numbers; (b) The open intervals where the function is increasing; and (c) The open intervals where it is decreasing. y = -3x + 6
After Theorem 1.5 we note that multiplying a row by 0 is not allowed because that could change a solution set. Give an example of a system with solution set S0 where after multiplying a row by 0 the...
Identical twins are rare, but just how unlikely are they? With the help of the sociology department, you have a representative sample of twins to help you answer the question. The twins data gives...
Consider the geometric distribution, which has P(X = k) = (1 ) k1 . Assume in our training data X took on the values 4, 2, 7, and 9. a. Write an expression for the log-likelihood of the data as a...
Answer the following True/False questions. a. In the case of a binary class and all binary features, Naive Bayes a linear classifier. Justify your answer. b. Naive Bayes trained using...
Al preparar el estado de resultados pro forma, cules de las siguientes partidas se deducen de las utilidades brutas para llegar a las ganancias despus de impuestos? Pregunta de seleccin mltiple....
Lawson Inc. is expanding its manufacturing plant, which requires an investment of $4 million in new equipment and plant modifications. Lawson's sales are expected to increase by $3 million per year...
20 On January 1, Year 1, X Company purchased equipment for $80,000. The company estimates that the equipment will have a useful life of 10 years and a residual value of $5,000. X Company depreciates...

Prove that alphabeta pruning takes time O(2 m/2 ) with optimal move ordering, where m is the

Question:

Step by Step Answer:

The result is given in Section 6 of Knuth 1975 The exact ...View the full answer

Artificial Intelligence A Modern Approach

Students also viewed these Computer science questions