You're allowed to use certain reference materials when playing Turn-Based Chess - see site-playing-rules-a-guide-for-the-perplexed.
A number of different names have been proposed for the two formats - refer to these discussions ...
curious-about-the-names-quotonlinequot-chess-and-quotturn-basedquot-chess
Can some one pls explain the difference between online chess and live chess? Thanks