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Question 3) Consider the following transition system, with all the states, transitions and state variables. There are three propositional variables p, q, and r. Only p is true in the initial state so, only q is true in the state s1 and s3, and p and r are true in the state s2. {p,r} {p} {q} S3 {q} Express the following properties in LTL and state whether they hold in the transition system. If a property does not hold then show a counter example. (1)Always if p then in the next state q. (i) p is true until q becomes true (iii) p is true sometime in the future until q is globally true

Question 3) Consider the following transition system, with all the states, transitions and state variables. There are three propositional variables p, q, and r. Only p is true in the initial state so, only q is true in the state s1 and s3, and p and r are true in the state s2. {p,r} {p} {q} S3 {q} Express the following properties in LTL and state whether they hold in the transition system. If a property does not hold then show a counter example. (1)Always if p then in the next state q. (i) p is true until q becomes true (iii) p is true sometime in the future until q is globally true

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question 3) Consider the following transition system, with all the states, transitions and state variables. There are three propositional variables p, q, and r. Only p is true in the initial state so, only q is true in the state s1 and s3, and p and r are true in the state s2. {p,r} {p} {q} So S3 {q} Express the following properties in LTL and state whether they hold in the transition system. If a property does not hold then show a counter example. ()Always if p then in the next state q. (i) p is true until q becomes true (ii) p is true sometime in the future until q is globally true (iv) q is true infinitely often
Transcribed Image Text:Question 3) Consider the following transition system, with all the states, transitions and state variables. There are three propositional variables p, q, and r. Only p is true in the initial state so, only q is true in the state s1 and s3, and p and r are true in the state s2. {p,r} {p} {q} So S3 {q} Express the following properties in LTL and state whether they hold in the transition system. If a property does not hold then show a counter example. ()Always if p then in the next state q. (i) p is true until q becomes true (ii) p is true sometime in the future until q is globally true (iv) q is true infinitely often
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