I have been trying to find the correct symbol to denote a credulous consequence. I've only been successful in finding the symbol for skeptical consequence, does a symbol for credulous consequence exist? If so, what is it?
I believe you just use the standard symbol for consequence, the credulity is implied. This should work, unless you happen to be working in a system that actually requires three differentiable types of consequence (skeptical, credulous, standard).
If there is no such symbol, one can be easily created by "inversion" of the existing symbol. If skeptical consequence is sc, then credulous consequence would be,-sc. Or contact the "entity" responsible for the creation and standardization of symbols and request/propose the creation of such symbol.
You can use the same symbol because skeptical and credulous rely in the same principle: not formal demonstration or proof exist. The "consequences" (sic.) lies on probability heaven :)