Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

3. Find an error in the following proof and explain why it is an error. (c) Proving x(P(x)Q(x)),x(P(x)R(x))x(R(x)Q(x)) (1) x(P(x)Q(x)) - premise (2) P(c)Q(c) -

image text in transcribed

image text in transcribed

image text in transcribed

image text in transcribed

3. Find an error in the following proof and explain why it is an error. (c) Proving x(P(x)Q(x)),x(P(x)R(x))x(R(x)Q(x)) (1) x(P(x)Q(x)) - premise (2) P(c)Q(c) - universal instantiation (c is a constant) (3) x(P(x)R(x)) - premise (4) P(c)R(c) - existential instantiation (5) P(c) - conjunction elimination (6) Q(c) - modus ponens for (2) and (5) (7) R(c) - conjunction elimination for (4) (8) R(c)Q(c) - conjunction introduction for (6) and (7) (9) x(R(x)Q(x)) - existential generalization

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

Students also viewed these Databases questions