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Kenneth Rosen Edition 7th Exercise 1.3 Question 34 (Page No. 35)
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Find the dual of each of these compound propositions.
$p \vee \sim q$
$p \wedge(q \vee (r \wedge T))$
$(p \wedge \sim q) \vee( q \wedge F)$
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Mar 16
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abhishekmehta4u
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Lakshman Patel RJIT
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dual of $(\bar a)\equiv \bar a$
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Answer:
a) p$\wedge$∼q
b) p$\vee$(q$\wedge$(r$\vee$F))
c) (p$\vee$∼q)$\wedge$(q$\vee$T)
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Mar 16
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saurav raghaw
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Kenneth Rosen Edition 7th Exercise 1.3 Question 39 (Page No. 35)
Why are the duals of two equivalent compound propositions also equivalent, where these compound propositions contain only the operators $\wedge, \vee, \sim ?$
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Kenneth Rosen Edition 7th Exercise 1.3 Question 35 (Page No. 35)
Find the dual of each of these compound propositions. $p \wedge \sim q \wedge \sim r$ $(p \wedge q \wedge r) \vee s$ $(p \vee F) \wedge (q \vee T)$
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Kenneth Rosen Edition 7th Exercise 1.3 Question 33 (Page No. 35)
Show that $(p \rightarrow q) \rightarrow (r \rightarrow s) $ and $(p \rightarrow r) \rightarrow (q \rightarrow s)$ are not logically equivalent.
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Kenneth Rosen Edition 7th Exercise 1.3 Question 32 (Page No. 35)
Show that $(p \wedge q) \rightarrow r $ and $(p \rightarrow r ) \wedge (q \rightarrow r)$ are not logically equivalent.
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Kenneth Rosen Edition 7th Exercise 1.3 Question 31 (Page No. 35)
Show that $(p \rightarrow q) \rightarrow r$ and $p \rightarrow (q \rightarrow r)$ are not logically equivalent.
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Mar 16
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Mathematical Logic
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Pooja Khatri
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Kenneth Rosen Edition 7th Exercise 1.3 Question 28 (Page No. 35)
Show that $p \leftrightarrow q$ and $\sim p \leftrightarrow \sim q$ are logically equivalent.
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Kenneth Rosen Edition 7th Exercise 1.3 Question 27 (Page No. 35)
Show that $p \leftrightarrow q$ and $(p \rightarrow q) \wedge (q \rightarrow p)$ are logically equivalent.
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Mar 16
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Pooja Khatri
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