axiomatize

• axiomatise (mostly UK)
• axiomize

axiomatic +‎ -ize

axiomatize (third-person singular simple present axiomatizes, present participle axiomatizing, simple past and past participle axiomatized)

1. To establish a set of axioms that describe or govern certain phenomena
   • 1998, Jean-Pierre Marquis, “Book Review: Colin McLarty. Elementary Categories, Elementary Toposes.”, in Notre Dame Journal of Formal Logic‎, volume 39, number 3, page 441:

     For toposes were invented by Grothendieck in the sixties for specific purposes in algebraic geometry and algebraic topology. Later on, Lawvere and Tierney [11] axiomatized the notion of an elementary topos with the goal of providing an appropriate foundation for differential geometry.

• axiom
• axiomatic, axiomatic system