Formula for the Search Space as a Union of Complete Sequences

Formula for the Expansion of the Search Space at Each Step

A simplified language model has a vocabulary consisting of only three unique tokens: 'cat', 'sat', and 'on'. The model is configured to generate an output sequence with a fixed length of exactly two tokens. Which of the following options correctly represents the complete set of all possible output sequences the model can generate?

Analyzing Search Space Dimensions

Growth of the Generative Search Space

Mathematical Formulation of the Search Problem in LLM Inference