How to Create Symbolic Versions of Statements in Formal Language

[Valtham]

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]

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).