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

Slope of tangent line, Slope of Tangent Line : It is the next major interp...

Slope of Tangent Line : It is the next major interpretation of the derivative. The slope of the tangent line to f ( x ) at x = a is f ′ ( a ) . Then the tangent line is given by,

Average function value, Average Function Value The average value of a ...

Average Function Value The average value of a function f(x) over the interval [a,b] is specified by, f avg = (1/b-a) a ∫ b f(x) dx Proof We know that the average

Unit rates, which shows the rate 12 inches of rain in 6 hours as a unit rat...

which shows the rate 12 inches of rain in 6 hours as a unit rate

Percents, If 2/3 of a number is 24 then 1/4 of a number is...

If 2/3 of a number is 24 then 1/4 of a number is...

Matrices, problem faced by students

problem faced by students

Rolles therom, f(x)=sin x+cos x in the interval {0,90}

f(x)=sin x+cos x in the interval {0,90}

Formulas, A house painter uses the formula, c = $110.50 + $39.50h, where c ...

A house painter uses the formula, c = $110.50 + $39.50h, where c is the total cost and h is the number of hours he works, to determine how much he charges his customers. How much s

Probability, Mike sells on the average 15 newspapers per week (Monday – Fri...

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers

Graph ( x + 1)2 /9 -( y - 2)2/4 =1 of hyperbola, Graph  ( x + 1) 2 /9 -( ...

Graph  ( x + 1) 2 /9 -( y - 2) 2 /4 =1 Solution It is a hyperbola. There are in fact two standard forms for a hyperbola.  Following are the basics for each form. H

Circles, alternate segment theorum

alternate segment theorum

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