Question

In: Advanced Math

Are the following functions satisfiable? If the function is satisfiable, with a single line containing 4...

Are the following functions satisfiable?
If the function is satisfiable, with a single line containing 4 comma-separated values, each of

which is either True or False, for x, y, z, v in this order. For example, you would submit: True,False,True,False.

If the function is not satisfiable, use the laws of propositional logic to prove that the function is a contradiction.

a) xy ̄+zv
b) (x+y)(x ̄+z)(y ̄+z ̄)(x+v)
c) xx ̄+yy ̄+zz ̄+vv ̄
d) (x+y)(x+y+z)+not(x+y+z)not(x+y+z+v)

Solutions

Expert Solution


Related Solutions

(IN PYTHON) Write a function that accepts a line of text and a single letter as...
(IN PYTHON) Write a function that accepts a line of text and a single letter as input (case insensitive) and returns the number of times the letter is the last character of a word. Note your program should be able to handle different cases. And check if the user input is a single letter.
(b) Find the equation of the line containing the points ​(2​,4​) and ​(7​,19​).
​ x y 2 4 3 7 4 8 6 16 7 19 (b) Find the equation of the line containing the points ​(2​,4​) and ​(7​,19​). (d) By​ hand, determine the​ least-squares regression line (​Round to three decimal places as​ needed). (f) Compute the sum of the squared residuals for the line found in part​ (b) /(​Round to three decimal places as​ needed). ​(g) Compute the sum of the squared residuals for the​ least-squares regression line found in part​ (d)....
1.) Write a function, base2tobase10 that has a single input, a vector containing 1,s and 0...
1.) Write a function, base2tobase10 that has a single input, a vector containing 1,s and 0 's representing a binary number. For example the binary number 01101011 would be represented by the vector [ 0, 1, 1, 0, 1, 0,1, 1]. Your function should return a single output,the base 10 equivalent of the base 2 number. First, your function must check the input vector and detremine if any of the vector elemnets are not a 0 or a1. If they...
Consider functions f : {1,2,3,4}→{1,2,3,4,5,6}. a) Give an example of one such function (use 2-line notation)....
Consider functions f : {1,2,3,4}→{1,2,3,4,5,6}. a) Give an example of one such function (use 2-line notation). Then say how many such functions there are and why your answer makes sense.(25 points) (b)Give one example of such a function that is injective and one that is not. Then say how many injective functions there are and why your answer makes sense.(50 points) (c) Explain why there are no surjective functions with this domain and codomain. (25 points)
Write the following functions. Each function needs function comments that describes function and its parameters double...
Write the following functions. Each function needs function comments that describes function and its parameters double sphereVolume( double radius) double sphereSuface( double radius) double cylinderVolume( double radius, double height) double coneSurface( double radius, double height) double coneVolume( double radius, double height) That computes the volume and surface of the sphere with radius, a cylinder with a circular base with radius radius , and height height , and a cone with a circular base with radius radius , and height height...
In a Single Line Flow, the bottleneck is 10 minutes per unit. This single line flow...
In a Single Line Flow, the bottleneck is 10 minutes per unit. This single line flow is for manufacturing laptops. The manufacturing plant works for 200 days in a year. Workers do only a shift of 8 hours every day. Breaks are excluded from the work time. The manufacturing unit has a fixed cost of 50,000 per day. The variable cost of making a laptop is 15,000 per laptop. 2% of laptops produced annually are defective and cannot be sold....
Differentiate between the line and staff functions
Differentiate between the line and staff functions
Differentiate between the line and staff functions
Differentiate between the line and staff functions
Function and tengent line
For what value of h will the line y=-2x+h be tangent to y=3x2+4x-1? b) Graph the line and the curve on the same set of axes to verify the solution. Use a scale.  
In this assignment, we will build custom functions in R. As an example, the following function...
In this assignment, we will build custom functions in R. As an example, the following function called addPercent converts a value into a percentage with one decimal place. addPercent - function(x){ percent - round(x*100, digits = 1) result - paste(percent, "%", sep = "") return(result) } Below are a few output results from this function. addPercent(.1) [1] "10%" addPercent(10) [1] "1000%" addPercent(10.1) [1] "1010%" addPercent(0.1443) [1] "14.4%" Write a custom R function that inputs a temperature in Fahrenheit Fo and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT