  Inference, especially those derived from inductive processes, is a crucial
component in our conversation to complement the information implicitly or
explicitly conveyed by a speaker. While recent large language models show
remarkable advances in inference tasks, their performance in inductive
reasoning, where not all information is present in the context, is far behind
deductive reasoning. In this paper, we analyze the behavior of the models based
on the task difficulty defined by the semantic information gap -- which
distinguishes inductive and deductive reasoning (Johnson-Laird, 1988, 1993).
Our analysis reveals that the disparity in information between dialogue
contexts and desired inferences poses a significant challenge to the inductive
inference process. To mitigate this information gap, we investigate a
contrastive learning approach by feeding negative samples. Our experiments
suggest negative samples help models understand what is wrong and improve their
inference generations.
