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One application I can think of would be to dialog systems. Tracing the meaning in a conversation between two strangers is determined by statements and responses, and the degree of unexpectedness of each utterance. Say a person asks a yes or no question, but gets a response along the lines of "I'm talking about X, not Y"; it would be useful to be able to go back and retrace the conversation at that point and try different responses in an effort understand what's being said.

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