Consider the following formula, and standard precedence: F; = q ^ (r V ¬p) V s ^ (w V r) Draw the derivation tree based on the grammar in $2.1.6, definition 2.13. Draw the formation tree. which of the following are subformulae of F;? a) •SAW Vr • w Vr • (r V¬p) V s • q^ (r V ¬p) V s • s ^ (w V r) Draw the formation tree that results from the substitution of w V x ^ ¬yf

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Consider the following formula, and standard precedence:
F; = q ^ (r V ¬p) V s ^ (w V r)
Draw the derivation tree based on the grammar in §2.1.6, definition 2.13.
(а)
(b)
Draw the formation tree.
(c)
which of the following are subformulae of F;?
• SAW Vr
• w Vr
• (r V -p) V s
• q^ (r V ¬p) V s
•s A (w V r)
(d)
Draw the formation tree that results from the substitution of w V x A¬y for
w V r in F;
Transcribed Image Text:Consider the following formula, and standard precedence: F; = q ^ (r V ¬p) V s ^ (w V r) Draw the derivation tree based on the grammar in §2.1.6, definition 2.13. (а) (b) Draw the formation tree. (c) which of the following are subformulae of F;? • SAW Vr • w Vr • (r V -p) V s • q^ (r V ¬p) V s •s A (w V r) (d) Draw the formation tree that results from the substitution of w V x A¬y for w V r in F;
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