A text generation model has produced the sequence of tokens ('The', 'quick', 'brown'). At the current step, the model calculates the probabilities for the next token and identifies the top 3 most likely tokens as ('fox', 'dog', 'wolf'), in that order of probability. Given this information, what is the resulting set of candidate sequences?

In a text generation process at step i, the candidate set $Y_i$ is defined as the single most probable sequence formed by appending the most likely next token to the shared preceding sequence.

Defining the Candidate Set in Top-K Decoding