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...

We present various refutationally complete calculi for first-order clauses with equality that allow for arbitrary selection of negative atoms in clauses. Refutation completeness is established via the use of well-founded orderings on clauses for defining a Herbrand model for a consistent set of clauses. We also formulate an abstract notion of redundancy and show that the deletion of redundant c...

This dissertation proposes a theory of temporal implicatures, and applies it to the study of tense in Mbya Guarani. It is composed of two parts. In the first one, I discuss the analyses of temporal implicatures developed by Musan (1995, 1997) and Magri (2009). Although I argue in favor of Magri's (2009) analysis, I reject two aspects of his proposal: that tense is universally or generically qua...