A survey of deep learning for mathematical reasoning
Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in
various fields, including science, engineering, finance, and everyday life. The development …
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 …
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 …
development on a computer that have laid the groundwork for and eventually have evolved …
Reinforcement learning of theorem proving
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 …
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 …
active user community. The project has been in constant development since 1973, when …
Deep network guided proof search
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 …
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 …
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 …
TPTP problem library, and the associated infrastructure. TPTP v3. 5.0 was the last release …
[PDF][PDF] Hammering towards QED
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 …
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 …
automatic theorem provers (ATPs) to discharge goals arising in interactive proofs. It …