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

The ratio of boys to girls at the dance was 3:4, The ratio of boys to girls...

The ratio of boys to girls at the dance was 3:4. There were 60 girls at the dance. How many boys were at the dance? Use a proportion comparing boys to girls at the dance. Boys/

Thinking mathematically-why learn mathematics, THINKING MATHEMATICALLY :  ...

THINKING MATHEMATICALLY :  Have you ever thought of what mental processes you are going through when you are solving a mathematical problem? Why don't you try the following proble

What is the limit of sin (1/x) when x tends to zero?, As x tends to zero th...

As x tends to zero the value of 1/x tends to either ∞ or -∞. In this situation we will not be sure about the exact value of 1/x. As a result we will not be sure about the exact/app

Probability, the probability that an account officer will pass her exam is ...

the probability that an account officer will pass her exam is 5/9. if she pass,the probability that she will be promoted is 3/4. she is not promoted if she fails her professional e

Binomial mathematical properties, Binomial Mathematical Properties 1. ...

Binomial Mathematical Properties 1. The expected or mean value = n × p = np Whereas; n = Sample Size p = Probability of success 2. The variance = npq Whereas; q =

ConnectEd, How do I increase and decrease tax and sales

How do I increase and decrease tax and sales

Andrew is helping his mom remodel his room, The perimeter of Andrew''s rect...

The perimeter of Andrew''s rectangular room is 44 feet. What equation was used to find the perimeter?

Area related to circle, If ABCD isaa square of side 6 cm find area of shad...

If ABCD isaa square of side 6 cm find area of shaded region

Ineqaulites, how to work out inequalities with negative signs?

how to work out inequalities with negative signs?

Modeling , A plastic manufacturer has 1200 boxes of transparent wrap in sto...

A plastic manufacturer has 1200 boxes of transparent wrap in stock at one factory and 1000 boxes at his second factory.The manufacturer has order for this product from 3 different

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