Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Discreet Structure Predicate Logic and Proofing Hw help!! Question 1 (8 points) What is the truth value of the following wffs in the interpretation where

Discreet Structure Predicate Logic and Proofing Hw help!!
image text in transcribed
image text in transcribed
Question 1 (8 points) What is the truth value of the following wffs in the interpretation where the domain consists of integers, Olx) is "x is odd, Lx)is "x10 ? (a) (Bx) 0(x) (b) (Vx) L(x) 0(x) (c) (3x) [L(x) A G(x)] (d) G(8)..048)^0(8)) Question 2 (8 points) Consider the wff (Vy)(3x) Q(x, y) (3x)(Vy) Q(x, y) (a) Find an interpretation to prove that this wff is not valid (b) Find the error in the following proof of this wff 1. (y3x) Q(x,y) hyp 2. (Bx) Q0x.y) 3. Q(a, y) 4. (Vy) Q(x, y) . (Bx)(y)Qxy 4,eg 1, ui 3, ug Question 3 (20 points) Prove that the following wff are valid arguments (a) (Vx) P(x) ^ (3x) Q(x) (3x) [P(x) ^ Q(x)] (c) (3x)[P(x) ^ Q(x)JA (vy)(Q(y) R(y)] (3x)[P(x) AR(x)] (d) CVX) (Vy)[(P(x) ^ S(x, y)) Q(y)JA (3x) B(x) ^ (Vx) (B(x) P(x)) ^ (Vx)(3y) S(x, y) (3x) Q(x) Question 4 (20 points) The following are Aristotle's "perfect syllogisms. For each, formulate the argument in predicate logic notation and then provide a proof. (a) All M are P All S are M Therefore all S areP (b) No M are P (Hint: Read it as AN M ore not P All S are M Therefore no S are P (c) All M are P Some S are M

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Database Concepts

Authors: David Kroenke, David Auer, Scott Vandenberg, Robert Yoder

10th Edition

0137916787, 978-0137916788

More Books

Students also viewed these Databases questions

Question

Guidelines for Informative Speeches?

Answered: 1 week ago