(DVE) A (FVG) DVE (XVY)--(ZA-A) ZA-A :-(XVY) (ST) v [(UAW) V (UAV)] -(ST) :(UAW) V (UAV) Choose... Choose.... Choose... +

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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Answer the following

The 2nd picture are the choices amongst the following

Absorption
Modus Tollens
Addition
Conjunction
(not valid)
Simplification
Hypothetical Syllogism
Constructive Dilemma
Modus Ponens
Disjunctive Syllogism
Transcribed Image Text:Absorption Modus Tollens Addition Conjunction (not valid) Simplification Hypothetical Syllogism Constructive Dilemma Modus Ponens Disjunctive Syllogism
The following proof of validity uses exactly one rule of inference. Identify which rule of
inference is being used by each proof.
(DVE) A (FVG)
: DVE
(XVY) →-(ZA-A)
ZA-A
:-(XVY)
(ST) V [(UAW) V (UAV)]
-(S-T)
:(UAW) V (UAV)
[N-(OAP)]A[Q (OAR)]
NVQ
: (OAP) V (OAR)
(A^B) → C
(A^B)➡AABAС
Q→ (OVR)
N- (OVP)
[Q→ (OV R)] ^ [N→ (OVP)]
-(BAC) → (DVE)
-(BAC)
DVE
(L--M) A-(JAK)
:-(JAK)
H-I
(HI) V (H→-1)
(CVD)→ [(OP) - Q]
[(OP)→Q] (CVD)
: (CVD) → -(CVD)
Choose...
Choose....
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
●
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Transcribed Image Text:The following proof of validity uses exactly one rule of inference. Identify which rule of inference is being used by each proof. (DVE) A (FVG) : DVE (XVY) →-(ZA-A) ZA-A :-(XVY) (ST) V [(UAW) V (UAV)] -(S-T) :(UAW) V (UAV) [N-(OAP)]A[Q (OAR)] NVQ : (OAP) V (OAR) (A^B) → C (A^B)➡AABAС Q→ (OVR) N- (OVP) [Q→ (OV R)] ^ [N→ (OVP)] -(BAC) → (DVE) -(BAC) DVE (L--M) A-(JAK) :-(JAK) H-I (HI) V (H→-1) (CVD)→ [(OP) - Q] [(OP)→Q] (CVD) : (CVD) → -(CVD) Choose... Choose.... Choose... Choose... Choose... Choose... Choose... Choose... Choose... Choose... ● • + + + ÷
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