Write first-order formulas over the relational symbols, Mathematics

Assignment Help:

Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, respectively, while On(a,b) encodes that a is a point, b is a line, and o lies on b.

Write first-order formulas over these relational symbols expressing the following (you can use the equality relation between lines/points):

(a) On every line, there lie at least two different points.

(b) Any two lines sharing at least two different points are identical.

(c) For any two different points, there exists exactly one line on which they lie.


Related Discussions:- Write first-order formulas over the relational symbols

Congruence, Write a proff given angle MJL congruent with angle KJL

Write a proff given angle MJL congruent with angle KJL

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

Economics, A mortgage lender seeks to maximize the expected value of its po...

A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t

Ogive, How many types of ogives?

How many types of ogives?

Which a dog is their favorite type of pet, The students at Norton School we...

The students at Norton School were asked to name their favorite type of pet. Of the 430 students surveyed, 258 said in that their favorite type of pet was a dog. Assume that only 1

Shares and dividends, I need to make an assignment on this topic what shoul...

I need to make an assignment on this topic what should i write in it

Evaluate the integral, Example:   If c ≠ 0 , evaluate the subsequent integr...

Example:   If c ≠ 0 , evaluate the subsequent integral. Solution Remember that you require converting improper integrals to limits as given, Here, do the integ

Rates, we dont know how to do rates

we dont know how to do rates

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