Predicate logic and one point rule using Z notation

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SUMMARY

The discussion centers on the challenges of understanding and applying predicate logic, specifically using the one-point rule and Z notation. Participants express confusion over the terminology and notation, particularly regarding the one-point rule and the meaning of \mathbb{N}. The conversation highlights a lack of familiarity with Z notation among users, despite its use in academic settings. A recommended resource for Z notation is provided, linking to a book that offers a comprehensive overview.

PREREQUISITES
  • Understanding of predicate logic principles
  • Familiarity with Z notation
  • Knowledge of set theory notation
  • Basic concepts of mathematical logic
NEXT STEPS
  • Research the one-point rule in predicate logic
  • Study Z notation and its applications in formal specifications
  • Explore standard notations used in set theory
  • Find resources on symbolic logic and its notation
USEFUL FOR

Students of mathematics, computer scientists, and anyone interested in formal logic and specification languages will benefit from this discussion.

learn_maths
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Hello all,

I'm in the process of simplifying the following equation using one-point rule and other predicate logic. But I’m a bit stuck with where to start or which inference rule to use first.

11053d1320180705-one-point-rule-127_8cd87652721067acc2f2a1af99d8b9db.png


Please help or any pointers would be much appreciated.

Thanks
 
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learn_maths,

The notation and terminology of logic is not as standardized as the notation and terminology of a subject like Calculus. So if you ask a question about logic that uses a lot of notation, it is quite possible that people who did not study your particular textbook won't know what you're talking about.

Speaking for myself, I don't know what the "one point rule" is. I don't know what "Z notation" is. And I don't know what the \mathbb{N} means in your formula. I presume it has to do with the natural numbers, but I don't see how it relates to any of the variables.
 
Steve thanks for the reply. By far i have noticed that not many people know Z notation. And I’m quite surprised why then the universities prefer to use Z for teaching. Since I’m a learner what is the standard notation for set theory? Any links to understand the standard notation would be very helpful.

I did get same sort of reaction in few other forum when I posted Z notation.

Thanks
 
I haven't opened a logic book in 30 years and I'm not current on good web sites for symbolic logic. If nobody else jumps into this thread with some recommendations, I'm sure that if you start a new thread whose title indicates you want links and books, you'll get some answers.

Do you have a good link or book for "Z notation"? I'm curious about it.
 
>Do you have a good link or book for "Z notation"? I'm curious about it.
Check this book out. The title explains what the book is all about. This is the book which I'm referring at the movement.

http://www.cs.cmu.edu/~15819/zedbook.pdf

Thanks
 

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