A survey of deep learning for mathematical reasoning

P Lu, L Qiu, W Yu, S Welleck, KW Chang - arXiv preprint arXiv:2212.10535, 2022 - arxiv.org
Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in
various fields, including science, engineering, finance, and everyday life. The development …

The TPTP problem library and associated infrastructure: from CNF to TH0, TPTP v6. 4.0

G Sutcliffe - Journal of Automated Reasoning, 2017 - Springer
This paper describes the TPTP problem library and associated infrastructure, from its use of
Clause Normal Form (CNF), via the First-Order Form (FOF) and Typed First-order Form …

The role of the Mizar Mathematical Library for interactive proof development in Mizar

G Bancerek, C Byliński, A Grabowski… - Journal of Automated …, 2018 - Springer
The Mizar system is one of the pioneering systems aimed at supporting mathematical proof
development on a computer that have laid the groundwork for and eventually have evolved …

Reinforcement learning of theorem proving

C Kaliszyk, J Urban, H Michalewski… - Advances in Neural …, 2018 - proceedings.neurips.cc
We introduce a theorem proving algorithm that uses practically no domain heuristics for
guiding its connection-style proof search. Instead, it runs many Monte-Carlo simulations …

Mizar: State-of-the-art and beyond

G Bancerek, C Byliński, A Grabowski… - … on Intelligent Computer …, 2015 - Springer
Mizar is one of the pioneering systems for mathematics formalization, which still has an
active user community. The project has been in constant development since 1973, when …

Deep network guided proof search

S Loos, G Irving, C Szegedy, C Kaliszyk - arXiv preprint arXiv:1701.06972, 2017 - arxiv.org
Deep learning techniques lie at the heart of several significant AI advances in recent years
including object recognition and detection, image captioning, machine translation, speech …

The TPTP world–infrastructure for automated reasoning

G Sutcliffe - International Conference on Logic for Programming …, 2010 - Springer
The TPTP World is a well known and established infrastructure that supports research,
development, and deployment of Automated Theorem Proving (ATP) systems for classical …

The TPTP problem library and associated infrastructure: The FOF and CNF parts, v3. 5.0

G Sutcliffe - Journal of Automated Reasoning, 2009 - Springer
This paper describes the First-Order Form (FOF) and Clause Normal Form (CNF) parts of the
TPTP problem library, and the associated infrastructure. TPTP v3. 5.0 was the last release …

[PDF][PDF] Hammering towards QED

JC Blanchette, C Kaliszyk, LC Paulson… - Journal of Formalized …, 2016 - pure.mpg.de
The main ingredients underlying this approach are efficient automatic theorem provers that
can cope with hundreds of axioms, suitable translations of the proof assistant's logic to the …

Extending Sledgehammer with SMT solvers

JC Blanchette, S Böhme, LC Paulson - Journal of automated reasoning, 2013 - Springer
Sledgehammer is a component of Isabelle/HOL that employs resolution-based first-order
automatic theorem provers (ATPs) to discharge goals arising in interactive proofs. It …