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

The new area is 168 square inches how many inches increase, A 4-inch by 6-i...

A 4-inch by 6-inch photograph is going to be enlarged through increasing each side by the similar amount. The new area is 168 square inches. How many inches is each dimension incre

Geometry, how to make an obtuse scalene triangle FAT with m

how to make an obtuse scalene triangle FAT with m

Liner regression, Liner Regression The calculations for our sample siz...

Liner Regression The calculations for our sample size n = 10 are described below. The linear regression model is y = a + bx Table: Distance x miles

Estimation of difference among population proportions , Estimation of diffe...

Estimation of difference among population proportions Assume the two proportions be described by P1 and P2, respectively,Then the difference absolute between the two proportion

Problem solving involving quadratic equations, a painting is 20 cm wider th...

a painting is 20 cm wider than its height. its area is 2400 centimeter squared. find its lenght and width

Two circles touch each other externally, Two circles touch each other exter...

Two circles touch each other externally: Given: Two circles with respective centres C1 and C2 touch each other externaly at the point P. T is any point on the common tangent

Exponential functions, The exponential functions are useful for descr...

The exponential functions are useful for describing compound interest and growth. The exponential function is defined as:          y = m. a x where '

Construct a tangent to a circle of radius, 1.  Draw a pair of tangents to a...

1.  Draw a pair of tangents to a circle of radius 2cm that are inclined to each other at an angle of 900. 2.  Construct a tangent to a circle of radius 2cm from a point on the c

#titlefunction.., provide a real-world example or scenario that can be expr...

provide a real-world example or scenario that can be express as a relation that is not a function

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

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