6. Write the parse trees for the following CTL formulas: (a) A[p U A[qU r]] (b) E[A[p U q] U r] (c) AG(p → A[p U (¬p^ A[ ¬p U q])]).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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6. Write the parse trees for the following CTL formulas:
(a) A[p U A[q U r]]
(b) E[A[p U q] U r]
(c) AG(p → A[p U ( ¬ p ^ A[ ¬p U q])]).
7. Explain why the following are not well-formed CTL formulas:
(a) A ¬G ¬p
(b) F [r U q]
(c) EXXT
(d) AEF r
(e) AF [(r U q) (p U r)]
8. State which of the strings below are well-formed CTL formulas. For those which
are well-formed, draw the parse tree. For those which are not well-formed,
explain why not.
(a) ¬ AXq
(b) p U (AX1)
(c) E[(AXq) U ( ¬(¬p) V(_^ s))]
(d) (F r) ^ (AGq)
Transcribed Image Text:6. Write the parse trees for the following CTL formulas: (a) A[p U A[q U r]] (b) E[A[p U q] U r] (c) AG(p → A[p U ( ¬ p ^ A[ ¬p U q])]). 7. Explain why the following are not well-formed CTL formulas: (a) A ¬G ¬p (b) F [r U q] (c) EXXT (d) AEF r (e) AF [(r U q) (p U r)] 8. State which of the strings below are well-formed CTL formulas. For those which are well-formed, draw the parse tree. For those which are not well-formed, explain why not. (a) ¬ AXq (b) p U (AX1) (c) E[(AXq) U ( ¬(¬p) V(_^ s))] (d) (F r) ^ (AGq)
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