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

Constant aceleration formulae, a car comes to a stop from a speed of 30m/s ...

a car comes to a stop from a speed of 30m/s in a distance of 804m. The driver brakes so as to produce a decelration of 1/2m per sec sqaured to begin withand then brakes harder to p

Definition of limit, Definition of limit : Consider that the limit of f(x)...

Definition of limit : Consider that the limit of f(x) is L as x approaches a & write this as provided we can make f(x) as close to L as we desire for all x adequately clos

Create a table with the number of components of each size, Look on the web ...

Look on the web for a data base that can be converted to an undirected graph.  For  example, in Science there is a data base of proteins and their interactions.  Each protein can b

Multiples, The sum of the smallest and largest multiples of 8 up to 60 is?

The sum of the smallest and largest multiples of 8 up to 60 is?

Find the radius of the inner circle, The area enclosed between two concentr...

The area enclosed between two concentric circles is 770cm 2 . If the radius of the outer circle is 21cm, find the radius of the inner circle. (Ans :14cm) Ans: Π R 2 - Π r 2 =

Calculate the cost make use of trigonometric functions, In this task you ar...

In this task you are required to make use of trigonometric functions, research and use the Monte Carlo method of integration to determine areas under curves and perform calculation

Product rule (f g)' = f ' g + f g', Product Rule: (f g)′ = f ′ g + f g′ ...

Product Rule: (f g)′ = f ′ g + f g′ As with above the Power Rule, so the Product Rule can be proved either through using the definition of the derivative or this can be proved

Heat loss in cylindrical pipe, which physics law is used to describe heat l...

which physics law is used to describe heat loss in cylindrical pipe

Probability, If a school has lockers with 50 numbers on each co...

If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.

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