perm filename JAN75.DBX[ESS,JMC] blob
sn#139921 filedate 1975-01-15 generic text, type T, neo UTF8
∂15-JAN-75 1448 1,DBX
Thank you for your answer. I will come to your office Friday after
the Representation seminar. Trying to prepare a draft or at least
a list of topics and send it to you earlier.
Concernig the definition of value(e β):
What I wanted to say (but did in a confusing way) is, that a
distinction is needed between the function evaluating an expression
(i.e. OPCONST value(EXPR)=VALUE in FOL notation with capitals for sorts)
and the primitive functions which are used to define this function
by giving values for the application of each binop.(i.e.
OPCONST sum2(VALUE,VALUE)=VALUE, or
OPCONST apply(OPERATOR,VALUE,VALUE)=VALUE), or
OPCONST valu(ISSUM)=VALUE, where
valu(mkesum(e1 e2))=sum2(value(e1),value(e2))
(Sorry for using valu to distinct from val and value, it is in the
style of your APpend !)
It is possible to denote the function, which I have called sum2
simply by the usual +, but an explanation is desirable, that in
fact it is a metafunction, whose denotation happens to be
identical to that of a concrete function symbol, which may
occur in a concrete expression.