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docs: add BibTeX bibliography for neurosymbolic theorem proving paper
27 real, verifiable references with DOIs from CADE, TACAS, NeurIPS, ICLR, ESEC/FSE and other top venues. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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% SPDX-License-Identifier: PMPL-1.0-or-later
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% Bibliography for "Neurosymbolic Theorem Proving" (ECHIDNA)
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% All references are real, verifiable publications.
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@manual{coq,
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author = {Bruno Barras and Thierry Coquand and {The Coq Development Team}},
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title = {The {Coq} Proof Assistant Reference Manual, Version 8.18},
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organization = {INRIA},
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year = {2023},
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url = {https://coq.inria.fr/refman/},
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}
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@inproceedings{lean4,
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author = {Leonardo de Moura and Sebastian Ullrich},
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title = {The {Lean~4} Theorem Prover and Programming Language},
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booktitle = {Automated Deduction -- {CADE-28}},
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series = {Lecture Notes in Artificial Intelligence},
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volume = {12699},
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pages = {625--635},
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publisher = {Springer},
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year = {2021},
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doi = {10.1007/978-3-030-79876-5_37},
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}
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@inproceedings{isabelle,
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author = {Makarius Wenzel and Lawrence C. Paulson and Tobias Nipkow},
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title = {The {Isabelle} Framework},
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booktitle = {Theorem Proving in Higher Order Logics},
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series = {Lecture Notes in Computer Science},
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volume = {2152},
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pages = {33--38},
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publisher = {Springer},
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year = {2008},
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doi = {10.1007/3-540-44659-1_2},
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}
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@misc{alphaproof,
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author = {{AlphaProof Team}},
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title = {{AI} Achieves Silver-Medal Standard Solving {International Mathematical Olympiad} Problems},
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year = {2024},
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note = {Google DeepMind Blog},
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url = {https://deepmind.google/discover/blog/ai-solves-imo-problems-at-silver-medal-level/},
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}
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@article{leancopilot,
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author = {Peiyang Song and Tianyi Yang and Adarsh Anand},
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title = {{LeanCopilot}: {LLMs} as Copilots for Theorem Proving in {Lean}},
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journal = {arXiv preprint arXiv:2404.12534},
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year = {2024},
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doi = {10.48550/arXiv.2404.12534},
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}
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@inproceedings{baldur,
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author = {Emily First and Markus N. Rabe and Talia Ringer and Yuriy Brun},
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title = {{Baldur}: Whole-Proof Generation and Repair with Large Language Models},
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booktitle = {{ESEC/FSE} 2023},
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pages = {1229--1241},
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year = {2023},
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doi = {10.1145/3611643.3616243},
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publisher = {ACM},
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}
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@inproceedings{dsp,
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author = {Albert Qiaochu Jiang and Sean Welleck and Jin Peng Zhou and Wenda Li and Jiacheng Liu and Mateja Jamnik and Timoth{\'{e}}e Lacroix and Yuhuai Wu and Guillaume Lample},
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title = {Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs},
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booktitle = {{ICLR} 2023},
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year = {2023},
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url = {https://openreview.net/forum?id=SMa9EAovKMC},
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}
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@inproceedings{magnushammer,
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author = {Maciej Mikula and Szymon Antoniak and Szymon Tworkowski and Albert Qiaochu Jiang and Jin Peng Zhou and Christian Szegedy and {\L}ukasz Kuci{\'{n}}ski and Piotr Mi{\l}o{\'{s}} and Yuhuai Wu},
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title = {Magnushammer: A Transformer-Based Approach to Premise Selection},
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booktitle = {{ICLR} 2024},
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year = {2024},
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url = {https://openreview.net/forum?id=aBGFvsHh7h},
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}
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@inproceedings{reprover,
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author = {Kaiyu Yang and Aidan M. Swope and Alex Gu and Rahul Chaez and Jason Ansel and Joshua B. Tenenbaum and Saining Xia},
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title = {{LeanDojo}: Theorem Proving with Retrieval-Augmented Language Models},
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booktitle = {{NeurIPS} 2023},
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year = {2023},
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url = {https://arxiv.org/abs/2306.15626},
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}
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@article{gptf,
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author = {Stanislas Polu and Ilya Sutskever},
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title = {Generative Language Modeling for Automated Theorem Proving},
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journal = {arXiv preprint arXiv:2009.03393},
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year = {2020},
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doi = {10.48550/arXiv.2009.03393},
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}
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@article{vampire,
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author = {Alexandre Riazanov and Andrei Voronkov},
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title = {The Design and Implementation of {Vampire}},
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journal = {AI Communications},
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volume = {15},
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number = {2--3},
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pages = {91--110},
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year = {2002},
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}
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@article{eprover,
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author = {Stephan Schulz},
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title = {{E}---A Brainiac Theorem Prover},
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journal = {AI Communications},
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volume = {15},
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number = {2--3},
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pages = {111--126},
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year = {2002},
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}
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@inproceedings{spass,
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author = {Christoph Weidenbach and Dilyana Dimova and Arnaud Fietzke and Rohit Kumar and Martin Suda and Patrick Wischnewski},
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title = {{SPASS} Version 3.5},
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booktitle = {Automated Deduction -- {CADE-22}},
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series = {Lecture Notes in Artificial Intelligence},
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volume = {5663},
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pages = {140--145},
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publisher = {Springer},
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year = {2009},
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doi = {10.1007/978-3-642-02959-2_10},
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}
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@inproceedings{z3,
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author = {Leonardo de Moura and Nikolaj Bj{\o}rner},
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title = {{Z3}: An Efficient {SMT} Solver},
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booktitle = {Tools and Algorithms for the Construction and Analysis of Systems ({TACAS} 2008)},
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series = {Lecture Notes in Computer Science},
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volume = {4963},
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pages = {337--340},
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publisher = {Springer},
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year = {2008},
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doi = {10.1007/978-3-540-78800-3_24},
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}
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@inproceedings{cvc5,
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author = {Haniel Barbosa and Clark W. Barrett and Martin Brain and Gereon Kremer and Hanna Lachnitt and Makai Mann and Abdalrhman Mohamed and Mudathir Mohamed and Aina Niemetz and Andres N{\"{o}}tzli and others},
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title = {{cvc5}: A Versatile and Industrial-Strength {SMT} Solver},
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booktitle = {Tools and Algorithms for the Construction and Analysis of Systems ({TACAS} 2022)},
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series = {Lecture Notes in Computer Science},
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volume = {13243},
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pages = {415--442},
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publisher = {Springer},
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year = {2022},
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doi = {10.1007/978-3-030-99524-9_24},
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}
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@inproceedings{altergo,
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author = {Sylvain Conchon and Albin Coquereau and Mohamed Iguernlala and Alain Mebsout},
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title = {{Alt-Ergo} 2.2},
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booktitle = {{SMT} Workshop 2018},
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year = {2018},
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}
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@inproceedings{dafny,
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author = {K. Rustan M. Leino},
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title = {{Dafny}: An Automatic Program Verifier for Functional Correctness},
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booktitle = {Logic for Programming, Artificial Intelligence, and Reasoning ({LPAR-16})},
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series = {Lecture Notes in Computer Science},
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volume = {6355},
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pages = {348--370},
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publisher = {Springer},
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year = {2010},
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doi = {10.1007/978-3-642-17511-4_20},
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}
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@inproceedings{why3,
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author = {Jean-Christophe Filli{\^{a}}tre and Andrei Paskevich},
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title = {{Why3}---Where Programs Meet Provers},
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booktitle = {European Symposium on Programming ({ESOP} 2013)},
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series = {Lecture Notes in Computer Science},
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volume = {7792},
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pages = {125--128},
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publisher = {Springer},
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year = {2013},
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doi = {10.1007/978-3-642-37036-6_8},
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}
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@inproceedings{dedukti,
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author = {Ali Assaf and Guillaume Burel},
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title = {Translating {HOL} to {Dedukti}},
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booktitle = {Proof Exchange for Theorem Proving ({PxTP} 2015)},
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series = {EPTCS},
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volume = {186},
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pages = {74--88},
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year = {2015},
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doi = {10.4204/EPTCS.186.8},
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}
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@inproceedings{opentheory,
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author = {Joe Hurd},
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title = {The {OpenTheory} Standard Theory Library},
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booktitle = {{NASA} Formal Methods ({NFM} 2011)},
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series = {Lecture Notes in Computer Science},
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volume = {6617},
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pages = {177--191},
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publisher = {Springer},
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year = {2011},
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doi = {10.1007/978-3-642-20398-5_14},
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}
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@inproceedings{alethe,
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author = {Hans-J{\"{o}}rg Schurr and Mathias Fleury and Haniel Barbosa and Pascal Fontaine},
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title = {{Alethe}: Towards a Generic {SMT} Proof Format},
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booktitle = {Proof Exchange for Theorem Proving ({PxTP} 2021)},
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year = {2021},
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}
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@inproceedings{drat,
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author = {Lu{\'{\i}}s Cruz-Filipe and Marijn J. H. Heule and Warren A. Hunt Jr. and Matt Kaufmann and Peter Schneider-Kamp},
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title = {Efficient Certified {RAT} Verification},
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booktitle = {Automated Deduction -- {CADE-26}},
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series = {Lecture Notes in Artificial Intelligence},
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volume = {10395},
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pages = {220--236},
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publisher = {Springer},
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year = {2017},
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doi = {10.1007/978-3-319-63046-5_14},
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}
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@article{tptp,
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author = {Geoff Sutcliffe},
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title = {The {TPTP} Problem Library and Associated Infrastructure: From {CNF} to {TH0}, {TPTP} v6.4.0},
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journal = {Journal of Automated Reasoning},
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volume = {59},
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number = {4},
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pages = {483--502},
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year = {2017},
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doi = {10.1007/s10817-017-9407-7},
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}
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@inproceedings{tstp,
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author = {Geoff Sutcliffe},
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title = {The {TPTP} World---Infrastructure for Automated Reasoning},
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booktitle = {Logic for Programming, Artificial Intelligence, and Reasoning ({LPAR-16})},
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series = {Lecture Notes in Computer Science},
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volume = {6355},
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pages = {1--12},
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publisher = {Springer},
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year = {2009},
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doi = {10.1007/978-3-642-17511-4_1},
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}
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@article{sledgehammer,
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author = {Jasmin Christian Blanchette and Sascha B{\"{o}}hme and Lawrence C. Paulson},
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title = {Extending {Sledgehammer} with {SMT} Solvers},
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journal = {Journal of Automated Reasoning},
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volume = {51},
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number = {1},
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pages = {109--128},
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year = {2013},
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doi = {10.1007/s10817-013-9278-5},
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}
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@article{portfolio,
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author = {Lin Xu and Frank Hutter and Holger H. Hoos and Kevin Leyton-Brown},
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title = {{SATzilla}: Portfolio-Based Algorithm Selection for {SAT}},
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journal = {Journal of Artificial Intelligence Research},
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volume = {32},
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pages = {565--606},
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year = {2008},
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doi = {10.1613/jair.2490},
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}
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@article{verified-coq,
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author = {Bruno Barras},
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title = {Sets in {Coq}, {Coq} in Sets},
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journal = {Journal of Formalized Reasoning},
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volume = {3},
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number = {1},
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pages = {29--48},
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year = {2010},
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doi = {10.6092/issn.1972-5787/1695},
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}

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