Hello A is a formula with variables x and y. What is the difference between (x,y) A (x) (y)A Thank you...
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Unless there's some special context in mind, I'd take them both as the same. [Here using 'A' for the quantifier in ASCII:] AxAyP AxyP some people write (x)(y)P They all mean the same.
What makes you think that there is a difference? Can you come up with any examples where they wouldn't be the same?
If is a first order language with variable letters then, is a well formed formula and it is not. We can of course use as an alternative notation for .
I'd rather avoid the clutter of parenethess. It's enough to have AxAyP And then to allow that to be indicated by AxyP
Thank you all for your replies .
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