Whereas the term "halabarda" is common enough in medieval Latin, the element "-acha" is puzzling, until one becomes aware that it simply represents the French word hache, axe (from the Latin word ascia): a halberd was indeed a combination of a spear and a battle-axe -- a "bipennis," as Erasmus puts it in the same colloquy (606, line 111).
The last theologian mentioned is one "rabinus Druinus." Master Druinus is exposed as a religious legalist who enforces the observance of rigid rules and empty ceremonies ("rabinus") (122) and a scholastic hair-splitter who has ended up in hell: "Eas ad inferos, illic inuenies rabinum Druinum, qui Tenedia bipenni dissecabit omnes tuas quaesriunculas" (ASD, 1, 3: 522, lines 982-83).