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

Application of linear equations, Application of Linear Equations We ar...

Application of Linear Equations We are going to talk about applications to linear equations.  Or, put in other terms, now we will start looking at story problems or word probl

Quantitative, A lobster catcher spends $12 500 per month to maintain a lobs...

A lobster catcher spends $12 500 per month to maintain a lobster boat. He plans to catch an average of 20 days per month during lobster season. For each day, he must allow approx

Example of multiplication of matrix, Given So calculate AB. Sol...

Given So calculate AB. Solution The new matrix will contain size 2 x 4. The entry in row 1 and column 1 of the new matrix will be determined by multiplying row 1 of

Trigonometry, sin^2alpha *sec^2beta +tan^2 beta *cos^2alpha=sin^2alpha+tan^...

sin^2alpha *sec^2beta +tan^2 beta *cos^2alpha=sin^2alpha+tan^2 beta

What is the area covered through the motion of the fan, The arm of a ceilin...

The arm of a ceiling fan measures a length of 25 in. What is the area covered through the motion of the fan blades while turned on? (π = 3.14) The ceiling fan follows a circula

Word or term for, An irregular perimeter to the circumference of a circle s...

An irregular perimeter to the circumference of a circle such as a protrusion

Mathematics- in our lives , MATHEMATICS - IN OUR LIVES : What is the mo...

MATHEMATICS - IN OUR LIVES : What is the most obvious example of mathematics in your life? To many of us it is the maths that we studied in school. But is that all the mathemat

g ( x ) = 3sec ( x ) -10 cot ( x ) -differentiate , Differentiate followin...

Differentiate following functions.                   g ( x ) = 3sec ( x ) -10 cot ( x ) Solution : There actually isn't a whole lot to this problem.  We'll just differentia

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