Axiom system is also called AX
http://209.85.165.104/search?q=cache:nMFRZd-dXZoJ:www.people.fas.harvard.edu/~cs285/handouts/logicLec1b.pdf+Axiom+system+AX&hl=en&ct=clnk&cd=1&gl=us&client=firefox-a
Maybe
Polynomials and Axiom system combined?