By Maribel Fernandez and Murdoch J. Gabbay, from LFMTP 2010, available from Murdoch J. Gabbay’s website:

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 procedure to check nominal algebra equality. This subclass includes specifications of lambda-calculus and first-order logic.