Suppose an ALTO server supports both "numerical" and "ordinal" cost modes
for the same cost type. Should the protocol require that the values for
those two modes to be mutually consistent?
And if we do want that, how should the requirement be worded? I'm tempted
to say
"Let num(A,B) and ord(A,B) be the numerical and ordinal costs
for source PID A and destination PID B, respectively.
Then for all PIDs A, B, C and D,
num(A,B) >= num(C,D) implies ord(A,B) >= ord(C,D),
ord(A,B) >= ord(C,D) implies num(A,B) >= num(C,D),
num(A,B) <= num(C,D) implies ord(A,B) <= ord(C,D),
ord(A,B) <= ord(C,D) implies num(A,B) <= num(C,D)."
Is that sufficient?
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