Search Results for "reasoning"
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Showing 9 open source projects for "reasoning"
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alphageometry
AI-driven neuro-symbolic solver for high-school geometry problems
AlphaGeometry, developed by Google DeepMind, is a theorem-proving system that combines symbolic reasoning with deep learning to solve challenging geometry problems, such as those found in mathematical Olympiads. The repository provides the full implementation of DDAR (Deductive Difference and Abductive Reasoning) and AlphaGeometry, two automated geometry solvers described in the 2024 Nature paper “Solving Olympiad Geometry without Human Demonstrations.” -
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Mathematics Dataset
This dataset code generates mathematical question and answer pairs
...The dataset enables models to learn mathematical problem-solving through examples that involve both numeric and symbolic reasoning. Version 1.0 includes over 2 million examples per category, with training splits labeled as “easy,” “medium,” and “hard,” supporting curriculum-based learning strategies. The data can be accessed via PyPI or generated locally using provided Python scripts, with outputs formatted for direct use in training or evaluation pipelines. -
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MathCode
A Frontier Mathematical Coding Agent
MathCode is a terminal-based AI coding assistant focused on mathematical formalization and theorem proving. It is designed to transform plain-language mathematical reasoning into verified Lean 4 code and formal proofs. The project combines AI agents with Lean Language Server Protocol integration, allowing it to inspect compiler feedback, search for lemmas, and iteratively repair failed proof attempts. It supports an agentic proving workflow where the system behaves more like an interactive mathematical engineer than a one-shot text generator. ... -
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HOL is a system for proving theorems in Higher Order Logic. It comes with a large variety of existing theories formalising various parts of mathematics and theoretical computer science.
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book
A textbook on informal homotopy type theory
The canonical Homotopy Type Theory informal textbook, initiated at the Institute for Advanced Study (2012–13) under the Univalent Foundations project. It presents the theory pedagogically without requiring technical proof assistant use. -
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Witchcraft
Monads and other dark magic for Elixir
...Because the implementation leans on Elixir protocols, you can extend Witchcraft’s abstractions to your own structs without invasive inheritance hierarchies. It promotes predictable, law-abiding behavior through property-based testing helpers and a focus on algebraic reasoning. Teams reach for Witchcraft when they want to structure business logic with reusable, mathematically grounded patterns that remain idiomatic to the BEAM. -
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Belief Reviser
Belief Revision via PS-Merge under constraints belief merging operator
Belief revision is a central topic in knowledge representation and reasoning. It consists in incorporating a new belief, changing as few as possible of the original beliefs while preserving consistency. Revision always considers new evidence as a better belief. Such new evidence is usually represented in the form of a propositional formula which must be preserved after the revision. Here, the Δps (PS-Merge) belief merging operator is extended in order to consider constraints, and this extension is used as a strategy for belief revision. ... -
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SEPIA: Security-oriented PN Framework
Petri net framework for security related modeling and reasoning.
SEPIA provides implementations for various types of Petri nets. Along Place/Transition-nets, it supports Petri nets with distinguishable token colors and defines coloured workflow nets, where coloured tokens are interpreted as data elements used during process execution. To support information flow analysis of processes, SEPIA defines so-called IF-Nets, tailored for security-oriented workflow modeling which enable users to assign security-levels (HIGH, LOW) to transitions, data elements and... -
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SURIKATA (Syntactic Universal Reasoning for Inducing Kolmogorov Abstract Theories Automatically) is a system for searching large spaces of artifacts and inducing algorithms for generating similar artifacts.
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