mathematical logic

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun logic A subfield of logic and mathematics consisting of both the mathematical study of logic and the application of this study to other areas of mathematics, exemplified by questions on the expressive power of formal logics and the deductive power of formal proof systems.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity