Accepting the following premises: 1. p 2. p-q 3. svr 4. r--q Conclude (s Vt) using the rules of inference and/or laws of logic.
Accepting the following premises: 1. p 2. p-q 3. svr 4. r--q Conclude (s Vt) using the rules of inference and/or laws of logic.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Inference
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
Transcribed Image Text:Accepting the following premises:
1. p
2.
p-q
3. svr
4. r-q
Conclude (s V t) using the rules of inference and/or laws of logic.
(2)
(3)
(4)
P
q
AS
r
svt
Premise 1
Premise 2, MP
Premise 4 (with negation), MT
Premise 3, disjunctive syllogism
Disjunctive amplification
...as desired. If these premises hold true, s V t must as well.

Transcribed Image Text:Accepting the premises:
r (q ^ s)
1.
2. pvr
Conclude p.
3. ¬q V¬t
4.
t^ s
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