Derive a boolean first-order query, Mathematics

Assignment Help:

Consider a database whose universe is a finite set of vertices V and whose unique relation .E is binary and encodes the edges of an undirected (resp., directed) graph G: (V, E). Each undirected edge between the nodes o and u (resp., directed edge from the node v to the node u) is encoded by the two atoms E (v, u) and E (u, v) (resp., by the single atom E (v, u)).

Consider the pairs of stucture (undirected (resp., directed) graphs) shown in Fig. 1. Suppose that the graphs are encoded in a database as explained above. For each pair, answer the following questions:

1. What is the smallest quantifier rank k for which the spoiler wins the k-move Ehrenfeucht-Fraisse game on the pair of structure?

2. Derive a Boolean first-order query from your winning strategy that is true on one structure but not on the other (you can use the equality relation between vertices).

2382_Derive a Boolean First-Order Query.png


Related Discussions:- Derive a boolean first-order query

Find out the total number people and the total number car, A national park ...

A national park remains track of how many people per car enter the park. Today, 57 cars had 4 people, 61 cars had 2 people, 9 cars had 1 person, and 5 cars had 5 people. What is th

Spherical coordinates - three dimensional space, Spherical Coordinates - Th...

Spherical Coordinates - Three Dimensional Space In this part we will introduce spherical coordinates. Spherical coordinates which can take a little getting employed to.  It's

Index numbers, What are advantages and disadvantages of both Laspeyres and ...

What are advantages and disadvantages of both Laspeyres and Paasche?

Math on a spot, compare: 643,251: 633,512: 633,893. The answer is 633,512.

compare: 643,251: 633,512: 633,893. The answer is 633,512.

DIFFERENTIAL EQUATIONS, WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLED...

WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLEDGE OF DIFFERNTIAL EQUATIONS?

#Famous Numbers Exercise, Euler''s Constant (e) Approximate the number to t...

Euler''s Constant (e) Approximate the number to the one hundredth, one ten-thousandths, and one one-hundred-millionth.

Examples of elimination technique - linear algebra, Explain some examples o...

Explain some examples of Elimination technique of Linear Equations.

Linear programming, Consider the following linear programming problem: M...

Consider the following linear programming problem: Min (12x 1 +18x 2 )             X 1 + 2x 2 ≤ 40             X 1 ≤ 50             X 1 + X 2 = 40             X

Basics of vectors - calculus, Vectors - The Basics Let us start this s...

Vectors - The Basics Let us start this section off with a quick discussion on what is the use of vector.  Vectors are utilized to present quantities that have both a magnitude

Maclaurin series - sequences and series, Maclaurin Series Before w...

Maclaurin Series Before working any illustrations of Taylor Series the first requirement is to address the assumption that a Taylor Series will in fact exist for a specifi

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd