A general mathematics of names

  • Gabbay M
  • 3


    Mendeley users who have this article in their library.
  • 23


    Citations of this article.


We introduce FMG (Fraenkel-Mostowski Generalised) set theory, a generalisation of FM set theory which allows binding of infinitely many names instead of just finitely many names. We apply this generalisation to show how three presentations of syntax-de Bruijn indices, FM sets, and name-carrying syntax-have a relation generalising to all sets and not only sets of syntax trees. We also give syntax-free accounts of Barendregt representatives, scope extrusion, and other phenomena associated to α-equivalence. Our presentation uses a novel presentation based not on a theory but on a concrete model U. © 2007 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Alpha-conversion
  • Fraenkel-Mostowski set theory
  • NEW quantifier
  • Names
  • Nominal techniques
  • Set theory

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Murdoch J. Gabbay

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free