Strong Bisimilarity: Find Out Q1-P3 & P3->Q1

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In summary, the conversation discusses the process of determining if q1-p3 and p3->q1 are "strongly bi-similar" through considering the transition of p and finding a proper match with the transition of q. The speaker also expresses difficulty in understanding how to do the transition and how to incorporate two figures into the bi-simulation process. It is suggested to move the discussion to a mathematics forum for better response and the speaker is wished luck with their studies.
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XodoX
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Homework Statement



https://www.dropbox.com/s/p09aulbcf02pfhk/Bisimilarity.jpg

Find out if q1-p3 and p3->q1 are "strongly bi-similar"

Homework Equations


The Attempt at a Solution



No idea.

I have to consider the transition of p and then show it's properly matched by some transition of q ?
I still can't find out how to do the transition here.
And how can I have 2 figures and get the bi-simulation for the paths ?
 
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This might attract more response if it were moved to a mathematics forum? If you think so, ask one of the mentors to move it for you.

Good luck with your studies.
 

1. What is strong bisimilarity?

Strong bisimilarity is a type of behavioral equivalence relation used to compare the behavior of two systems. It is based on the idea that two systems are considered equivalent if they cannot be distinguished by an observer based on their observable actions and reactions.

2. How is strong bisimilarity calculated?

Strong bisimilarity is calculated by examining the possible transitions of each system and determining if they can reach equivalent states. This involves analyzing the possible inputs and outputs of each system and checking if they can produce the same behavior.

3. What is the importance of strong bisimilarity?

Strong bisimilarity is important in the field of computer science, particularly in the study of concurrent and distributed systems. It allows for the verification and validation of complex systems by comparing their behavior to simpler, equivalent systems.

4. How is strong bisimilarity different from weak bisimilarity?

Strong bisimilarity is a stricter equivalence relation compared to weak bisimilarity. While strong bisimilarity requires that both systems produce the exact same behavior, weak bisimilarity only requires that the systems produce similar behavior.

5. Can strong bisimilarity be used in practical applications?

Yes, strong bisimilarity has practical applications in the design and analysis of complex systems. It can be used for model checking, testing, and verifying the correctness of systems such as communication protocols, network systems, and web services.

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