History of Interactive Theorem Proving
By John Harrison, Josef Urban, Freek Wiedijk. 2014
94 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Computational Theory and Mathematics, Natural Language Processing, Program Analysis & Verification
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Jia Deng
- Ilya Sutskever
- Quoc V. Le
- Christian Szegedy
- Stanislas Polu
- Mohit Bansal
- Kyunghyun Cho
- Yoshua Bengio
In Computational Theory and Mathematics
- Jia Deng
- Stanislas Polu
- Ilya Sutskever
- Mingzhe Wang
- Kaiyu Yang
- Christian Szegedy
- Sarah M. Loos
- Josef Urban
In Natural Language Processing
- Jia Deng
- Ilya Sutskever
- Stanislas Polu
- Mingzhe Wang
- Kaiyu Yang
- Christian Szegedy
- François Chollet
- Thomas Lukasiewicz
In Program Analysis & Verification
- Christian Szegedy
- Stanislas Polu
- Kaiyu Yang
- Jia Deng
- Ilya Sutskever
- Cezary Kaliszyk
- Geoffrey Irving
- Josef Urban
Citations in the corpus
- Generative Language Modeling for Automated Theorem Proving (2020, background): “Deep learning applied to premise selection and proof guidance Research on automated theorem proving dates back to the 50s [24], but mainstream proof assistants still suffer from combinatorial explosion of their search space as they are scaled to large corpuses, motivating the use of deep learning.”
- DeepMath - Deep Sequence Models for Premise Selection (2016, methodology): “The ITP field dates back to 1960s [16] and the Automath system by N.”
- Learning to Prove Theorems via Interacting with Proof Assistants (2019, background): “In ITP, human users define mathematical objects formally and prove theorems semi-automatically by entering a sequence of commands called tactics.”
- Premise Selection for Theorem Proving by Deep Graph Embedding (2017, background): “Research on automated theorem proving has a long history [11].”
- Mathematical Capabilities of ChatGPT (2023, background): “Presently, there is a realization that classical approaches, using a symbolic encoding of mathematics, have reached a plateau [15].”
- Deep Network Guided Proof Search (2017, background): “In the past twenty years, various large corpora of computer-understandable reasoning knowledge have been developed (Harrison et al., 2014).”