Kalman Filter book using Jupyter Notebook. Focuses on building intuition and experience, not formal proofs. Includes Kalman filters,extended Kalman filters, unscented Kalman filters, particle filters, and more. All exercises include solutions.
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The Rocq Prover is an interactive theorem prover, or proof assistant. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.
- proof-assistant
- coq
- theorem-proving
- dependent-types
Coordinate Claude, Codex and Cursor windows with shared tasks, acknowledgements, prechecks, parallel tests, source-bound proofs and independent review. Built-in skills recall lessons, simplify code and forecast work. Track progress, decisions and evidence in a bilingual local dashboard, with MCP plugins. Browse skills and verified security audits.
Interactive Coq Proofs in Vim
formally verified category theory library
- category-theory
- formal-verification
- formal-proofs
Solutions to In-Class questions, Problem Sets and Exams of MIT Mathematics for Computer Science 2015 (same as 2019 Open Learning Library)
- calculus
- counting
- functions
- graph
Theorem statements about OSS-Fuzz fuzz targets as compiled RISC-V binaries, and machine-checked Rocq proofs of them
- formal-verification
- fuzzing
- oss-fuzz
- proofs
Swift cryptography library for Bitcoin and Nostr. ECDSA, Schnorr, ECDH, and zero-knowledge proofs on secp256k1. Apple platforms and Linux.
- taproot
- secp256k1
- swift
- schnorr
A library of mechanised undecidability proofs in the Coq proof assistant.
A foundational framework for modular cryptographic proofs in Coq
- cryptography
- coq-library
- coq-formalization
- state-separating-proofs
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
- coq
- hydra-battles
- ordinal-notations
- formal-proofs
Foundational Cryptography Framework for machine-checked proofs of cryptography.
The Waterproof plugin for the Rocq proof assistant allows you to write Rocq proofs in a style that resembles handwritten mathematical proofs, designed to help university students with learning how to prove mathematical statements.
Tool for generating Locally Nameless definitions and proofs in Coq, working together with Ott
Stable sort algorithms and their stability proofs in Rocq
- mathcomp
- ssreflect
- sorting-algorithms
- mergesort
A Coq library providing tactics to deal with hypothesis
- coq
- formal-proofs
- proof-assistant
- tactics
Clarity library for parsing Bitcoin transactions and verifying Merkle proofs