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Creating Symbolic Versions

Valtham

New member
Jan 29, 2013
3
Currently I am trying to convert a statement into symbolic version. The following statement:

"Each of our representatives has at least one customer that is located in Japan."

I'm a little confused about this because I'm not sure how I would represent "Japan" in the symbolic version. At the moment I would say "For all y, there exists x in Japan." Should I treat Japan as a set, or would I treat it like an iff statement? I can't find the tool to write equations or I would write in symbolic form.
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,502
The result of turning an English statement into symbolic form depends on the formal language, also called the signature, that you have. I would prefer the problem statement provided a signature because otherwise there are too many possible answers.

I think the following signature is appropriate here.

R(x): x is a representative

C(x): x is a customer

W(x, y): x works with y, i.e., x and y have a representative-customer relation

L(x, y): x is located in y

j: Japan (j is a constant).