The market will close when Comedy Central announces the show as "The Daily Show with [Name Here]". The market will resolve once the show is listed on 

 with that name. The market will reopen if Comedy Central announces the show but reverses course before listing it in its TV Schedule or if there is sufficient speculation about a reversal of course. 

Sufficient speculation about a reversal of course is defined as a Google Alert resulting in more than 100 new results in a week for the search:

In the unlikely event that the show is canceled (and remains canceled for a year) this market will resolve N/A.

Should there be a dispute, the rules provided will control over the answer to the question itself.

 While, the question is intended to provide an easy way for people to bet on their beliefs, it is not the end all be all, and all traders should look at the rules. The unlikely event of significant ambiguity regarding whether the resolution criteria have been met. I reserve the right to resolve a question to a percentage that I deem fair. I will give notice before I do this.