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We investigate how large language models can be used as research tools in scientific computing while preserving mathematical rigor. We propose a human-in-the-loop workflow for interactive theorem proving and discovery with LLMs. Human…

人机交互 · 计算机科学 2025-12-12 Chenyi Li , Zhijian Lai , Dong An , Jiang Hu , Zaiwen Wen

We present Ax-Prover, a multi-agent system for automated theorem proving in Lean that can solve problems across diverse scientific domains and operate either autonomously or collaboratively with human experts. To achieve this, Ax-Prover…

Type theories, logical frameworks and meta-languages form a common foundation for designing, implementing, and reasoning about formal languages and their semantics. They are central to the design of modern programming languages, certified…

计算机科学中的逻辑 · 计算机科学 2010-09-14 Karl Crary , Marino Miculan

This volume contains the proceedings of DCM 2015, the 11th International Workshop on Developments in Computational Models held on October 28, 2015 in Cali, Colombia. DCM 2015 was organized as a one-day satellite event of the 12th…

计算机科学中的逻辑 · 计算机科学 2016-03-03 César A. Muñoz , Jorge A. Pérez

We present a methodology for formal verification of arithmetic RTL designs that combines sequential logic equivalence checking with interactive theorem proving. An intermediate model of a Verilog module is hand-coded in Restricted…

计算机科学中的逻辑 · 计算机科学 2020-09-30 David M. Russinoff

Methods for Modalities is a series aimed at bringing together researchers interested in developing proof methods, verification methods, algorithms and tools based on modal logic. Here the term "modal logics" is conceived broadly, including…

计算机科学中的逻辑 · 计算机科学 2017-03-14 Sujata Ghosh , R. Ramanujam

This volume contains the proceedings of the 14th International Conference on Quantum Physics and Logic (QPL 2017), which was held July 3-7, 2017 at the LUX Cinema Nijmegen, the Netherlands, and was hosted by Radboud University. QPL is a…

计算机科学中的逻辑 · 计算机科学 2018-02-28 Bob Coecke , Aleks Kissinger

This volume contains a final and revised selection of papers presented at Twelfth Workshop on Developments in Computational Models (DCM 2018) and the Ninth Workshop on Intersection Types and Related Systems (ITRS 2018), held on July 8, 2018…

计算机科学中的逻辑 · 计算机科学 2019-04-23 Michele Pagani , Sandra Alves

In recent months, large language models (LLMs) have made significant progress in mathematical proof generation, but further advancement is hindered by the lack of a large-scale, high-quality dataset of human-evaluated proofs. While…

The workshop series intends to cover research that investigates the computational aspects of classical logic and mathematics. Its focus is on unwinding the computational content of logical principles and proof in mathematics based on these…

计算机科学中的逻辑 · 计算机科学 2016-06-21 Ulrich Kohlenbach , Steffen van Bakel , Stefano Berardi

Behavioral synthesis involves compiling an Electronic System-Level (ESL) design into its Register-Transfer Level (RTL) implementation. Loop pipelining is one of the most critical and complex transformations employed in behavioral synthesis.…

计算机科学中的逻辑 · 计算机科学 2014-06-09 Disha Puri , Sandip Ray , Kecheng Hao , Fei Xie

ACL2 was used to prove properties of two simplification procedures. The procedures differ in complexity but solve the same programming problem that arises in the context of a resolution/paramodulation theorem proving system. Term rewriting…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Olga Shumsky Matlin , William McCune

Large Language Models (LLMs) have emerged as powerful tools in mathematical theorem proving, particularly when utilizing formal languages such as LEAN. A prevalent proof method involves the LLM prover iteratively constructing the proof…

人工智能 · 计算机科学 2025-10-22 Zijian Wu , Suozhi Huang , Zhejian Zhou , Huaiyuan Ying , Zheng Yuan , Wenwei Zhang , Dahua Lin , Kai Chen

Formalizing mathematical proofs using computerized verification languages like Lean 4 has the potential to significantly impact the field of mathematics, it offers prominent capabilities for advancing mathematical reasoning. However,…

计算与语言 · 计算机科学 2024-11-11 Xichen Tang

This volume contains the papers presented at the Tenth International Workshop on Developments in Computational Models (DCM) held in Vienna, Austria on 13th July 2014, as part of the Vienna Summer of Logic. Several new models of computation…

计算机科学中的逻辑 · 计算机科学 2015-04-09 Ugo Dal Lago , Russ Harmer

Welcome to the proceedings of FOCLASA 2012, the 11th International Workshop on the Foundations of Coordination Languages and Self-Adaptation. FOCLASA 2012 was held in Newcastle upon Tyne, UK, on September 8, 2012 as a satellite event of…

分布式、并行与集群计算 · 计算机科学 2012-08-22 Natallia Kokash , António Ravara

Correctness proofs for floating point programs are difficult to verify. To simplify the task, a similar, but less complex system, known as logarithmic arithmetic can be used. The Boyer-Moore Theorem Prover, NQTHM, mechanically verified the…

计算机科学中的逻辑 · 计算机科学 2024-11-21 Mark G. Arnold , Thomas A. Bailey , John R. Cowles

We describe Imandra, a modern computational logic theorem prover designed to bridge the gap between decision procedures such as SMT, semi-automatic inductive provers of the Boyer-Moore family like ACL2, and interactive proof assistants for…

计算机科学中的逻辑 · 计算机科学 2020-04-23 Grant Olney Passmore , Simon Cruanes , Denis Ignatovich , Dave Aitken , Matt Bray , Elijah Kagan , Kostya Kanishev , Ewen Maclean , Nicola Mometto

Description Logics (DLs) are a family of languages used for the representation and reasoning on the knowledge of an application domain, in a structured and formal manner. In order to achieve this objective, several provers, such as RACER…

计算机科学中的逻辑 · 计算机科学 2013-08-01 Mohamed Chaabani , Mohamed Mezghiche , Martin Strecker

This proceedings contains abstracts and position papers for the work presented at the second Logic and Practice of Programming (LPOP) Workshop. The workshop was held online, virtually in place of Chicago, USA, on November 15, 2010, in…

编程语言 · 计算机科学 2022-11-21 David S. Warren , Peter Van Roy , Yanhong A. Liu