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

Highest common factor (hcf), We know that a factor is a quantity whic...

We know that a factor is a quantity which divides the given quantity without leaving any remainder. Similar to LCM above we can find a highest common factor (HCF)

Evaluate the area of the shaded region, Using the example provided, Evaluat...

Using the example provided, Evaluate the area of the shaded region in terms of π. a. 264 - 18π b. 264 - 36π c. 264 - 12π d. 18π- 264 b. The area of the shaded r

Solve the subsequent lp problem, Solve the subsequent LP problem graphicall...

Solve the subsequent LP problem graphically through enumerating the corner points. MAX:              3X1 + 4X2 Subject to:    X1   12                     X2    10

Find the quadratic polynomial, Find the Quadratic polynomial whose sum and ...

Find the Quadratic polynomial whose sum and product of zeros are √2 + 1, 1/ √2 + 1 Ans:    sum = 2  √2 Product = 1 Q.P = X 2 - (sum) x + Product ∴ x 2 - (2 √2 )

An example of build upon the child''s background, What are the other differ...

What are the other differences between learners that a teacher needs to keep in mind, while teaching?  Let us see an example in which a teacher took the pupil's background into acc

factorial, why zero factorial is equal to on

why zero factorial is equal to one

Describe simplifying fractions with example, Describe Simplifying Fractions...

Describe Simplifying Fractions with example? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form, div

Find the return period in years of the critical event, 1. A drainage system...

1. A drainage system overflows into a river causing pollution when the rainfall falling in an hour exceeds 50 mm. During any given year, the maximum hourly rainfall follows an expo

Numerical methods for ordinary differential equationsordinay, #k1=f(Tn, Xn)...

#k1=f(Tn, Xn), k2=f (Tn + H.Y,Xn + H.Y.k1) Xn+1=Xn + H(a.k1+ b.k2) Find a relation between Y,a and b so that the method is second order consistent.

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