As one aspect of the endeavor to c r e a te new i n t e l l e c t u a l t o o l s f o r mankind, we w ish to enable computers to p rove , and t o a s s i s t i n the p roo f s o f , theorems o f mathematics and ( e v e n t u a l l y ) o t h e r d i s c i p l i n e s which have ach ieved the r e q u i s i t e l o g i c a l p r e c i s i o n . For t h i s purpose, a p a r t i c u l a r l y s u i ...