Integrating TPS with ΩMEGA

We report on the integration of Tps as an external reasoning component into the mathematical assistant system Ωmega. Thereby Tps can be used both as an automatic theorem prover for higher order logic as well as interactively employed from within the Ωmega environment. Tps proofs can be directly incorporated into Ωmega on a tactic level enabling their visualization and verbalization. Using an example we show how Tps proofs can be inserted into Ωmega's knowledge base by expanding them to calculus level using both Ωmega's tactic mechanism and the first order theorem prover Otter. Furthermore we demonstrate how the facts from Ωmega's knowledge base can be used to build a Tps library