Fill in the reasons in the following proof sequence. Make sure you indicate which step(s) each derivation rule refers to. (If a reason refers to multiple steps, enter the steps as a comma-separated list.) Statements Reasons Step(s) 1. p^ (qVr) 2. (p ^q) 3. "pVq 4. q V p 5. q-p 6. p 7. "("P) 8. q 9. (qvr)^p 10. q Vr 11. rvq 12. (r) Vq 13. q 14. (r) 15. r 16. Par given given addition ---Select-- addition associativity commutativity conjunction De Morgan double negation given implication modus ponens modus tollens simplification ---Select-- ---Select-- -Select-- ---Select-- ---Select-- ---Select--- V v

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
icon
Related questions
Question
100%

fill in the reasons in the following proof sequence

Fill in the reasons in the following proof sequence. Make sure you indicate which step(s) each derivation rule refers to. (If a reason refers to multiple steps, enter the steps as a comma-separated list.)
Statements
Reasons
Step(s)
1. p^ (q Vr)
given
given
2. (p ^ q)
3. p V q
4. q V p
5. q→ P
6. p
7.
(P)
8. 9
9. (9 Vr) ^p
10. q Vr
11. rVq
12. (r) Vq
13. →q
14. (r)
15. r
16. p^r
addition
---Select---
addition
associativity
commutativity
conjunction
De Morgan
double negation
given
implication
modus ponens
modus tollens
simplification
---Select---
---Select---
|---Select---
---Select---
---Select---
---Select---
✓
✓
Transcribed Image Text:Fill in the reasons in the following proof sequence. Make sure you indicate which step(s) each derivation rule refers to. (If a reason refers to multiple steps, enter the steps as a comma-separated list.) Statements Reasons Step(s) 1. p^ (q Vr) given given 2. (p ^ q) 3. p V q 4. q V p 5. q→ P 6. p 7. (P) 8. 9 9. (9 Vr) ^p 10. q Vr 11. rVq 12. (r) Vq 13. →q 14. (r) 15. r 16. p^r addition ---Select--- addition associativity commutativity conjunction De Morgan double negation given implication modus ponens modus tollens simplification ---Select--- ---Select--- |---Select--- ---Select--- ---Select--- ---Select--- ✓ ✓
Expert Solution
Step 1

The solution is given below for the above-given question:

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Sorting
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education