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
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
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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---
✓
✓](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72808cdf-7534-418e-b73d-b7f094c7b13f%2F92ead50b-c829-478d-a683-69a51fdfabe3%2Fl57vzvf_processed.png&w=3840&q=75)
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---
✓
✓
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