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What is the value of MyProc on the following formulas: (a) q (b) p^q (c)(p^¬¬q) V ¬p (d) (q^(pVq)) V (p^¬q) (e) ((p^(-qVp)) V ((pVq)^(p^¬¬q)))

What is the value of MyProc on the following formulas: (a) q (b) p^q (c)(p^¬¬q) V ¬p (d) (q^(pVq)) V (p^¬q) (e) ((p^(-qVp)) V ((pVq)^(p^¬¬q)))

Advanced Engineering Mathematics
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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1. What is the value of MyProc on the following formulas: (a) q (b) р^--q (c) (p^¬¬q) V-p (d) (q^(pVq)) V (p^¬q) (e) ((p^(-qVp)) V ((pVq) ^ (p^¬¬q))) 2. State in a brief and precise sentence what My Proc (F) does. Do not simply "read off" the pseudocode (i.e., "if F is an atom then it returns 0, ...").
Transcribed Image Text:1. What is the value of MyProc on the following formulas: (a) q (b) р^--q (c) (p^¬¬q) V-p (d) (q^(pVq)) V (p^¬q) (e) ((p^(-qVp)) V ((pVq) ^ (p^¬¬q))) 2. State in a brief and precise sentence what My Proc (F) does. Do not simply "read off" the pseudocode (i.e., "if F is an atom then it returns 0, ...").
Problem 2. Consider the following recursive procedure applied to formulas F of the basic syntax (i.e., the only connectives are ^, V,¬): My Proc (F): • If F is an atom, then return 0. • If F is of the form G then return My Proc (G) + 1. • If F is of the form (GV H) then return max (MyProc(G), MyProc(H)). • If F is of the from (G^H) then return max(My Proc (G), MyProc(H)).
Transcribed Image Text:Problem 2. Consider the following recursive procedure applied to formulas F of the basic syntax (i.e., the only connectives are ^, V,¬): My Proc (F): • If F is an atom, then return 0. • If F is of the form G then return My Proc (G) + 1. • If F is of the form (GV H) then return max (MyProc(G), MyProc(H)). • If F is of the from (G^H) then return max(My Proc (G), MyProc(H)).
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