Alternatives
Products that do what The Thiele Machine – Coq-Verified Computational Model Beyond Turing does
The Thiele Machine is a formally verified universal computational model the surpasses Turing machines in key ways. It's fully proven in Coq (including kernel theorems and universality containment), features a python implementation for simulation and includes hardware designs in Verilog for potential FPGA/ASIC builds. The core idea: a paradigm shift using μ-bits for stricter computation under real-world constraints, tying into physics (e.g., Noether’s theorem) and emergence in chaotic systems. The repo includes a 13-chapter thesis (PDF and sources), proofs, and tools for exploration.…
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A 3.16M-parameter INT4 transformer running entirely in the on-chip memory of a Xilinx Kria KV260. Zero DRAM in the token loop, 59,965 tok/s on the fabric, bit-exact. Chat with it live.
27d ago · mikeayles.com
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May 2026 · github.com
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To my knowledge, this is the first formally verified implementation of a 3D constructive solid geometry (CSG) operation: mesh intersection, implemented in Lean 4 and verified against a concise specification that pins down the surface of the resulting mesh exactly and guarantees practical well-formedness conditions on the triangulation. This project is also an experiment in avoiding having to trust AI-generated code. A human reviewer only needs to read 93 lines of formal specification and run the Lean checker to certify the correctness of the kernel, skipping the intricate 1000+ lines of…
Jul 2026 · github.com
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2015 · github.com
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We open-sourced the TLA+ and Fizzbee verified spec behind Ursa's storage engine. Verification across ~200K states caught a design bug that years of production missed. We then handed the spec to Claude Code — it produced a working Rust implementation (concurrent producers, compaction, fencing) without back-and-forth. We think verified specs are the best harness for coding agents: open-source the spec, let anyone implement it.
Apr 2026 · github.com
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I'm interested in Buddhist philosophy, and specifically studying Nāgārjuna's Middle Way gave me inspiration to formalize it mathematically and see what would emerge as a result. (My background: engineer/co-founder (Qualcomm/Adreno GPU, Bumble, Stereo), 16 years of meditation practice, 2+ years in Southeast Asian monasteries and silent retreats) Starting from one Buddhist-inspired axiom—recursive duality E={E⁻,E⁺} - I derived: 1) Boolean logic (from period structure of minimal couplings) 2) Universal computation (closure enables Turing-completeness) 3) Memory (pattern persistence…
Jan 2026
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A new programming language rooted in Pure Mathematics
2025
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2017 · github.com
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2019 · made2591.github.io
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Hey there HN! We’re Vasilije, Boris, and Laszlo, and we’re excited to introduce cognee, an open-source Python library that approaches building evolving semantic memory using knowledge graphs + data pipelines Before we built cognee, Vasilije(B Economics and Clinical Psychology) worked at a few unicorns (Omio, Zalando, Taxfix), while Boris managed large-scale applications in production at Pera and StuDocu. Laszlo joined after getting his PhD in Graph Theory at the University of Szeged. Using LLMs to connect to large datasets (RAG) has been popularized and has shown great promise.…
2025 · github.com
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We've been working on an open-source coding agent that generates code alongside machine-checkable proofs. We'd love feedback from the HN community, especially from people interested in formal verification, Lean, Dafny, or AI coding agents. Currently, only 3 langauges can be verified.
Jul 2026 · github.com
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Hey folks, I’m the creator of WFGY — a semantic reasoning framework for LLMs. After open-sourcing it, I did a full technical and value audit — and realized this engine might be worth $8M–$17M based on AI module licensing norms. If embedded as part of a platform core, the valuation could exceed $30M. Too late to pull it back. So here it is — fully free, open-sourced under MIT. --- ### What does it solve? Current LLMs (even GPT-4+) lack *self-consistent reasoning*. They struggle with: - Fragmented logic across turns - No internal loopback or self-calibration - No modular thought units - Weak…
2025 · github.com
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Local, gradient-free neuro-symbolic memory engine combining Hyperdimensional Computing (HDC/VSA), Hebbian plasticity, and graph triples for offline AI. - roandejager/Hillock
7d ago · github.com
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