Search Results for author: Thibault Gauthier

Found 11 papers, 4 papers with code

Learning Guided Automated Reasoning: A Brief Survey

no code implementations6 Mar 2024 Lasse Blaauwbroek, David Cerna, Thibault Gauthier, Jan Jakubův, Cezary Kaliszyk, Martin Suda, Josef Urban

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning.

Automated Theorem Proving Logical Reasoning +1

Alien Coding

no code implementations27 Jan 2023 Thibault Gauthier, Miroslav Olšák, Josef Urban

We introduce a self-learning algorithm for synthesizing programs for OEIS sequences.

Machine Translation Self-Learning +1

Learning Program Synthesis for Integer Sequences from Scratch

3 code implementations24 Feb 2022 Thibault Gauthier, Josef Urban

We present a self-learning approach for synthesizing programs from integer sequences.

Program Synthesis Self-Learning

Tree Neural Networks in HOL4

1 code implementation3 Sep 2020 Thibault Gauthier

We present an implementation of tree neural networks within the proof assistant HOL4.

BIG-bench Machine Learning

Self-Learned Formula Synthesis in Set Theory

no code implementations3 Dec 2019 Chad E. Brown, Thibault Gauthier

A reinforcement learning algorithm accomplishes the task of synthesizing a set-theoretical formula that evaluates to given truth values for given assignments.

reinforcement-learning Reinforcement Learning (RL)

Deep Reinforcement Learning for Synthesizing Functions in Higher-Order Logic

1 code implementation25 Oct 2019 Thibault Gauthier

We set a precedent for statistically guided synthesis of Diophantine equations by solving 78. 5% of the generated test problems.

Automated Theorem Proving BIG-bench Machine Learning +3

GRUNGE: A Grand Unified ATP Challenge

1 code implementation6 Mar 2019 Chad E. Brown, Thibault Gauthier, Cezary Kaliszyk, Geoff Sutcliffe, Josef Urban

This paper describes a large set of related theorem proving problems obtained by translating theorems from the HOL4 standard library into multiple logical formalisms.

Logic in Computer Science

Learning to Reason with HOL4 tactics

no code implementations2 Apr 2018 Thibault Gauthier, Cezary Kaliszyk, Josef Urban

Techniques combining machine learning with translation to automated reasoning have recently become an important component of formal proof assistants.

Translation

TacticToe: Learning to Prove with Tactics

no code implementations2 Apr 2018 Thibault Gauthier, Cezary Kaliszyk, Josef Urban, Ramana Kumar, Michael Norrish

We implement a automated tactical prover TacticToe on top of the HOL4 interactive theorem prover.

Sharing HOL4 and HOL Light proof knowledge

no code implementations11 Sep 2015 Thibault Gauthier, Cezary Kaliszyk

When proving their properties, a human can often take inspiration from the existing formalized proofs available in other provers or libraries.

Premise Selection and External Provers for HOL4

no code implementations11 Sep 2015 Thibault Gauthier, Cezary Kaliszyk

Learning-assisted automated reasoning has recently gained popularity among the users of Isabelle/HOL, HOL Light, and Mizar.

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