Adding the axioms to Axiom
Towards a system of automated reasoning in Aldor
Erik Poll Simon Thompson
Computing Lab oratory UniversityofKent
Canterbury Kent CT NF UK
fE Poll S J Thompsong ukc ac uk
Abstract
Anumber of combinations of theorem proving and computer alge
bra systems have b een prop osed in this pap er we describ e another
namely a wayto incorp orate a logic in the computer algebra system
Axiom We examine the typ e system of Aldor the Axiom Library
Compiler and show that with some mo di cations wecanusethede
p endenttyp es of the system to mo del a logic under the Curry Howard
isomorphism We giveanumb er of example applications of the logic
we construct