20 results for “Proof systems”
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The paper investigates the relationship between optimal proof systems and recursive jump operators, showing that while the existence of a jump operator rules out optimality, the converse is provably h…
This paper proves several properties about Extended Frege proof systems and circuit equivalence.
The paper presents a direct construction of a doubly efficient interactive proof system for PSPACE decidable languages.
The paper presents a new approach to verifying quantum programs using classical automated verifiers.
The paper presents a novel technology that uses zero-knowledge proofs to formally verify a software system's correctness against a public specification without revealing the system's internal details.
Xiyu Zhai, Xinyi Chen, Yiping Wang, Runlong Zhou +2 more
A dependent-type-based prover is designed to assist LLMs and humans in writing mathematics, complementing existing systems like Lean and Rocq.
E. G Plante, Eric Paul, Cosmo Viola, G. A. Kavvos +1 more
The paper provides a foundational treatment of proof repair in response to changes in datatypes.
This paper presents the theory of Eigenius, a store of typed knowledge over constructive institutions.
One clear sentence describing what this paper does
Manish Acharya, Zhenyu Liao, Yueke Zhang, Kevin Leach +2 more
VERITAS is a zero-shot framework that improves the performance of LLM-based formal provers by routing verifier signals back into proof search.
The paper develops a novel, sound, and complete deductive proof system for proving contract satisfaction, which is crucial for verifying CPU security against side-channel attacks.
Ning Zhang, Nongyu Di, Zenan Li, Yuan Yao +1 more
The paper presents Quarry, a planning-based proof synthesis framework that combines the strengths of large language models and automated tactics to improve proof automation.
A novel calculus is introduced that models first-class environments and function application using standard record types.
This paper extends the Hazel Prover interface to support exploratory mathematics for both students and experts.
The paper proposes a federated formal verification architecture that treats verification as a polyglot proof system, successfully validating it on complex production subsystems like a Raft consensus m…
Jiacheng Chen, Xinyu Zhang, Shunkai Zhang, Yanmohan Wang +19 more
MaxProof is a population-level test-time scaling framework for competition-level mathematical proof in the MiniMax-M3 series.