Two Failures of Self-Consistency in the Multi-Step Reasoning of LLMs

Large language models (LLMs) have achieved widespread success on a variety of in-context few-shot tasks, but this success is typically evaluated via correctness rather than consistency. We argue that self-consistency is an important criteria for valid multi-step reasoning and propose two types of self-consistency that are particularly important for multi-step logic -- hypothetical consistency (the ability for a model to predict what its output would be in a hypothetical other context) and compositional consistency (consistency of a model's outputs for a compositional task even when an intermediate step is replaced with the model's output for that step). We demonstrate that four sizes of the GPT-3 model exhibit poor consistency rates across both types of consistency on four different tasks (Wikipedia, DailyDialog, arithmetic, and GeoQuery).