If one makes his succah like a conical hut, or he leaned it against the wall, R’ Eliezer invalidates it since it has no roof; but the Sages declare it valid.  A large reed mat —- if made to lie upon, it is susceptible to contamination and we may not use it for s’chach; if for shade, we may use it for s’chach and it is not susceptible to contamination.  R’ Eliezer says: Whether [the mat is] small or large —- if he made it to lie upon, it is susceptible to contamination and we may not use it as s’chach; if for s’chach, we may use it for s’chach and it is not susceptible to contamination.

One who sleeps under the bed in the succah has not fulfilled his obligation [to sleep in a succah].  R’ Yehudah said: We regularly slept under the bed in the presence of the Elders and they said nothing to us.  R’ Shimon said: There is a case of Tavi, Rabban Gamliel’s slave, who used to sleep under the bed. Rabban Gamliel said to the Elders, “Have you observed my slave Tavi? He is a scholar and knows that [gentile] slaves are exempt from [the obligation of] succah —- that is why he sleeps under the bed.” And incidentally we deduced that one who sleeps under the bed does not fulfill his obligation [to sleep in a succah].