Evaluate the following FOL-wff using the given interpretation:(Vz)(Q(x) (By)(P(r,y) (Vx)P(y, r)))1.U= {a, b}ITy P(r,y)y Q(y)aa.aa.b.a

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Answered: Evaluate the following FOL-wff using…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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2. Write the definition of a bool function named BooleanMode () whose header is bool BooleanMode (bool data[), int n) Given that n represents the size of data, the function returns the truth value that appears the most in data. If there is an equal number of both truth values in data, the function returns the truth value that appeared first. For instance, if data = [true, true,false, false,false, true,falsel, then the function will return false. Impl
For each of the following function, indicate the class Q(n) the function belongs (use the simplest g(n) possible in your answer. d) (n 2 / 2) - 4n
Additional information: r(x) is the open statement "x>0". The universe is integers.
TM M = (Q, E, I, 6, 90, 9a, qr), where Q = {90, 91, 92, 9a, 9r}, Σ = {0, 1}, r = {0, 1, L}, and 8 is: 8(qo, U) = (qr, U, R) 8(90, 0) = 8(go, 1) (91, 0, R) (qo, 1, R) = 8(g1, L) = (ga, U, R) 8(91,0) = (91, 0, R) 8(91, 1) = (92, 1, R) = (92, U, R) 8(92, U) 8(92, 0) = (90, 0, R) 8(92, 1) = (92, 1, R) i. Prove that M is NOT a decider. ii. Mathematically describe the language A that M recognises. Prove that A ≤ L(M). iii. Prove A = L(M). iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]
If a, b, and c are the three sides of a triangle, then its area is, Area = √[s(s-a)(s-b)(s-c)] Here, "s" is the semi-perimeter of the triangle, i.e., s = (a + b + c)/2. However to be a valid triangle “the summation of any two sides should be greater than the third side.” i) Now Design a Class Triangle with a method checkValid() that returns true if it satisfies the criteria of a valid triangle. ii) Write down a method throwException() that uses the checkValid() and throws OwnException as described below. iii) Your own Exception class OwnException will throw an Exception if the valid triangle criteria is not satisfied with the information of “Not a real triangle” with the values of three sides. iv) A triangle object can be only instantiated with the value of three sides if it is a valid triangle otherwise an exception will be thrown. Similarly changing the sides of a triangle is possible if it satisfies the above criteria otherwise an exception will be thrown. v) In the Driver Class get…
The following data are given: x= [1,3,5,7]; y=[ln (1), In (3), ln (5), ln (7)] 3. a) Use the interpld function from scipy.interpolate library to interpolate the above data using the spline interpolation method. b) Estimate the logarithm of 2 for linear, quadratic and cubic splines. Print out the true value, interpolating values and the true relative errors in % for linear, quadratic and cubic splines. c) Show on a graph the true function In(x), interpolating linear spline, interpolating quadratic spline, interpolating cubic spline, and data points. Round numbers to four significant digits.
Please explain your solution
1. Reduce the following function: ((A O B)•(A•C) )•( (A•B) +(A © B) )
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Simplify the complement of the following function: F(A,B,C,D)=(0,2,4,5,8,9,10,11) Your answer: F=((A'B'D)' (BC)'(AB)')' F=((A'BD)'(BC)'(AB)')' F=((A'B'D)'(B'C)'(AB)') F=((A'B'D')' (BC)'(AB)')
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Evaluate the following FOL-wff using the given interpretation: (Vz)(Q(x) (3y)(P(z,y) (Vr)P(y, z))) U = {a, b} y P(z,y) T. yQ() a a. a T a F F a T