We build a model in nominal sets for TST+; typed set theory with typical ambiguity. It is known that this is equivalent to the consistency of Quine's New Foundations. Nominal techniques and permutation models are used to constrain the size of powersets and thus model typical ambiguity.

We analyse the relationship between nominal algebra and nominal rewriting, giving a new and concise presentation of equational deduction in nominal theories. With some new results, we characterise a subclass of equational theories for which nominal rewriting provides a complete and efficient procedure to check nominal algebra equality. This subclass includes specifications of lambda-calculus an...

q'his paper provides an account of the role that the interaction between nominal and temporal reference plays in resolving temporal reference. Exploiting this interaction in resolving temporal reference clarifies how the process of resolving nominal reference interacts with the process of resolving temporal reference, and how a restricted set of worht knowledge contributes to resolving temporal...