Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in
various fields, including science, engineering, finance, and everyday life. The development …

HOL Light is a new version of the HOL theorem prover. While retaining the reliability and
programmability of earlier versions, it is more elegant, lightweight, powerful and automatic; it …

Proving mathematical theorems at the olympiad level represents a notable milestone in
human-level automated reasoning,,–, owing to their reputed difficulty among the world's best …

Large Language Models (LLMs) have shown human-like reasoning abilities but still struggle
with complex logical problems. This paper introduces a novel framework, Logic-LM, which …

The formalization of existing mathematical proofs is a notoriously difficult process. Despite
decades of research on automation and proof assistants, writing formal proofs remains …

Reasoning, a crucial ability for complex problem-solving, plays a pivotal role in various real-
world settings such as negotiation, medical diagnosis, and criminal investigation. It serves …

We present PutnamBench, a new multi-language benchmark for evaluating the ability of
neural theorem-provers to solve competition mathematics problems. PutnamBench consists …

Despite the success of large language models (LLMs), the task of theorem proving still
remains one of the hardest reasoning tasks that is far from being fully solved. Prior methods …

Test case generation is among the most labour-intensive tasks in software testing. It also has
a strong impact on the effectiveness and efficiency of software testing. For these reasons, it …

Neural Code Intelligence--leveraging deep learning to understand, generate, and optimize
code--holds immense potential for transformative impacts on the whole society. Bridging the …