klotz: mbpp dataset* + formal program verification*

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  1. - Demonstrates how to improve two pretrained models' proficiency in the Dafny verified programming language.
    - Uses 178 programming problems from the MBPP dataset for prompting GPT-4 and PaLM-2 to generate methods in Dafny.
    - Three types of prompts were used: a direct contextless prompt, one that includes a signature of the method and test cases, and a third one that decomposes the problem into steps and includes dynamically chosen similar examples.
    - GPT-4 was able to generate verified (and human-evaluated) Dafny methods in 58% of the cases with the third prompt.
    - Contributes a collection of 153 MBPP problems implemented and formally verified in Dafny, 50 written by authors and 103 synthesized by GPT-4.

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