The litwish way of learning is answering contradictions of Rambam through chilukim by differentiating through chakiros. Some seforim on chakiros as קובץ יסודות וחקירות and חקירות שמואל are available at hebrewbooks.org. The Shlah Hakadash and Orchas Tzadikim were questioning the use of this type of learning if it does not lead to halacha but sometimes it is important to differentiate between halachas as explained by the Chasam Sofer (Chulin,7) that the Rebbi, after the talmidim would compare two things, would say gleich or imgleich, similar or not.
