# ln (blogs) — RSS Amplifier Recent posts from the 2 feeds in the RSS Amplifier directory that cover ln. Page: Feed: --- ## [Poor Man's devenv](https://nobe4.fr/posts/poor-mans-devenv/) _2026-08-19 · nobe4_ devenv is great. Declarative dev shells, hooks, scripts, tasks. At work, using nix is fairly uncommon, so I don't want to litter everyone's repo with devenv or shell.nix files. Devenv can also be slow to init, and enter, especially on a fresh machine or after a devenv.lock update. Sometimes I just want a shell with the right tools, fast. I used to run nix-shell -p \ but after doing it 10… ## [Confidence is not evidence](https://nobe4.fr/posts/confidence-is-not-evidence/) _2026-08-16 · nobe4_ Am I being told the truth? I have a tendency to enjoy grandiloquence; if someone speaks with certainty and flourished prose, I'm captivated 1 . I often mistake this awe-inspiring confidence for the delivery of truth. Like many, I used to follow online mentors . And I would, sometimes for hours, listen to their views. There was something deeply comforting about thinking that someone, somewhere, had… ## [Shipping dotfiles with Nix](https://nobe4.fr/posts/shipping-dotfiles-with-nix/) _2026-08-15 · nobe4_ I manage a remote headless machine (brahms) with colmena . During deployment, I quickly hit a problem: my dotfiles live in a git repo on my workstation. Brahms has no copy of it, and I didn’t want to add a git clone as part of my setup. The solution turned out to be a one-line change in my Nix config. ln.nix primer After exploring several wrong approaches , I ended up using the… ## [Two Things We Didn't Close, and Exactly Why](https://monogate.org/blog/two-open-questions-pinned-down) _2026-07-22 · Monogate — Research Blog_ A chain-order hierarchy theorem and an effective validity threshold — both flagged 'hard' by outside review months ago. We stopped repeating the label and went looking for the actual obstruction in each. One real bridge theorem came out of it. Neither question closed. Both are now precisely located instead of vaguely deferred. ## [Periodicity Is Enough — Every Nonconstant Periodic Function Is Out of EML's Reach](https://monogate.org/blog/periodicity-is-enough) _2026-07-22 · Monogate — Research Blog_ sin was the specific target. It turns out sin was never the point — no finite EML tree can equal ANY nonconstant, continuous, periodic function, full stop. We built genuine Extreme Value Theorem machinery to get there, then found the proof didn't need it: periodicity alone does the work an infimum was supposed to. Honest scope inside. ## [NixOS on an Intel macBook](https://nobe4.fr/posts/nixos-on-an-intel-macbook/) _2026-07-22 · nobe4_ I had a MacBook Pro sitting unused. An Intel, with an Apple T2 security chip. I thought with NixOS on it, it might actually be useful again. Here’s how that journey went. The wrong ISO My first attempt went like this: Download a standard NixOS 26.05 minimal ISO Write it to USB pv nixos-\*.iso \> /dev/sdX Plug it in Hold Option on startup, pick the USB drive Get greeted by ## [LLM and credits](https://nobe4.fr/posts/llm-and-credits/) _2026-07-15 · nobe4_ As I’ve been blogging more, I’ve received the same comment many times: It sounds like you’re writing it yourself, not with an LLM. Yes, and thank you, I guess? Even if I did, I would not mention it. In my work and in OSS communities, LLMs are everywhere. It is a popular way for people to write their code, tickets, and documents. Commit histories are full of Co-authored-by: LLM .… ## [The Axiom You Can't See — A Machine-Checked Trust Boundary, and the False One It Caught](https://monogate.org/blog/the-axiom-you-cannot-see) _2026-07-10 · Monogate — Research Blog_ MachLib runs on axioms. The last post showed Mathlib's ℝ models each one, by hand. This post makes that an always-on invariant: enumerate the axioms from the kernel, decide 'witnessed' by typechecking an interpretation — never by name — and diff both directions so it fails loud. The teeth were real: the audit rejected an axiom that was actually false, an open-interval Rolle a name-matching check… ## [A Model for the Axioms — MachLib's Reals, Weighed Against Mathlib](https://monogate.org/blog/a-model-for-the-axioms) _2026-07-08 · Monogate — Research Blog_ MachLib's real numbers are an axiomatized interface, kept Mathlib-free for build speed. There's now a machine-checked witness that those axioms are consistent: Mathlib's ℝ models every one of them, each #print axioms bottoming out in Lean's three. The analytic finite-zeros theorem, once postulated, is now proved. Honest scope inside. ## [Finiteness of Zeros for Any Exponential-Type Chain, Machine-Checked](https://monogate.org/blog/zeros-any-exponential-chain) _2026-07-04 · Monogate — Research Blog_ We lifted an earlier rolle-only, machine-checked finiteness proof from one hardcoded tower of iterated exponentials to arbitrary exponential-type Pfaffian chains at every depth — with one honest hypothesis we do not round off: positivity. ## [Accept your Doppler invite (Sponsored)](https://crawlproof.com/a/20qSbEAfzE92) _2026-07-03 · **Sponsored**_ Create your Doppler account using the invite code you received. ## [Speeding Up My Shell](https://nobe4.fr/posts/speeding-up-my-shell/) _2026-07-03 · nobe4_ I spend all my time in a terminal. So much so that I have a custom macOS launcher ( sling ) written around my terminal emulator, instead of using Alfred, Raycast, or others. I always notice when something feels sticky. Even a couple milliseconds can interrupt the flow. Recently, new sessions felt slow to start, and opening a terminal repeatedly felt terrible . This post walks through how I… ## [Devenv as a Config Syncer](https://nobe4.fr/posts/devenv-as-a-config-syncer/) _2026-07-02 · nobe4_ I keep a golangci-lint config that I share across my Go projects. Sync’ing it around gets old fast: I have to remember which repos use it and update them all. Devenv already manages my dev shells. Turns out it can also fetch and install config files automatically. The idea pkgs.fetchurl downloads a file at build time and pins it by hash. Devenv tasks can run before the shell starts. Combine… ## [Climbing the Exponential Tower — a Machine-Checked Depth-3 Khovanskii Bound](https://monogate.org/blog/climbing-the-exponential-tower) _2026-07-01 · Monogate — Research Blog_ The finite zero-count bound for iterated exponentials now reaches e^(e^(e^x)), unconditionally and with the Khovanskii-citation axiom removed. Proven from Rolle's theorem alone. Honest scope inside. ## [We Injected a Fault and the Safety Proof Held](https://monogate.org/blog/we-injected-a-fault-and-the-proof-held) _2026-06-30 · Monogate — Research Blog_ A saturating guard keeps a plant's state inside a safe envelope for all time, for any controller, under any bounded disturbance. We proved it in Lean (sorryAx-free), turned the proof into a number — and then made that number a machine-checked theorem too — and measured it holding on a real FPGA, on a noisy breadboard, and on a genuinely nonlinear plant, while we injected an actuator fault on… ## [We Put the Proof on a Real FPGA](https://monogate.org/blog/equivalence-on-real-silicon) _2026-06-29 · Monogate — Research Blog_ One verified math source compiles to software, RTL, and a GPU shader. We stopped trusting the model and ran each artifact for real — C on gcc, RTL in Verilator, a shader on an NVIDIA GPU, and the datapath on an Arty A7 FPGA — checking every output against a Lean-proved error bound. Each one held. Building it found six real bugs. Here is the receipt, and here is exactly where it doesn't hold. ## [Slow git push from a worktree](https://nobe4.fr/posts/slow-git-push-from-a-worktree/) _2026-06-25 · nobe4_ I started using worktrees as part of my setup , and have been enjoying what it has to offer. However, a git push from a worktree burned ~30 seconds of local CPU before sending a single byte. Which was not expected. As per usual, the following debug led up to a bunch of fun learnings. Symptom I immediately started running my command with some extra debug setup: GIT\_TRACE\_PACKET = 1 GIT\_TRACE = 2… ## [Oscillation Is a Compact Torus](https://monogate.org/blog/oscillation-is-a-compact-torus) _2026-06-24 · Monogate — Research Blog_ The Infinite-Zeros Barrier — the line between functions you can write as a finite EML tree and ones you can't — turns out to be the compact (rotational) factor of a differential Galois group. We connect the two, turn 'is this function representable?' into a computation from a differential equation, validate the special-function registry against it, and machine-check the core in Lean. Honest scope… ## [Custom Kitty Tab Titles](https://nobe4.fr/posts/custom-kitty-tab-titles/) _2026-06-19 · nobe4_ I changed my Kitty tab bar to show a better context: owner/repo:branch process for git repos; ~/d/n/dirname process (shortened path) otherwise. For simplicity, it updates only when something changes (cd, command start, prompt). OSC Escape Sequences ANSI escape sequences are sequences starting with ESC ( \\e ), ending with BEL ( \\a ) that control terminal behavior. They include: CSI (Control… ## [Stress-Testing the eFrog → Forge Pipeline](https://monogate.org/blog/stress-testing-the-pipeline) _2026-06-18 · Monogate — Research Blog_ A 63-function corpus through 6 software backends, then 17 multi-function modules, then a Lean proof-emit survey. Four real Forge bugs and two eFrog bugs surfaced and fixed upstream with regression coverage. Hardware-target survey blocked on Pro license. Honest scope inside. ## [Two Independent Routes to the SingleExp Khovanskii Bound](https://monogate.org/blog/two-routes-to-the-khovanskii-bound) _2026-06-17 · Monogate — Research Blog_ MachLib now has a second, fully constructive proof of the SingleExp Khovanskii zero-count bound, built on a polynomial canonicalizer instead of the ExpPolyBridge embedding. Same theorem, different machinery, same axiom footprint. Honest scope inside. ## [PixelRift — Platforming with Level Editor (Sponsored)](https://crawlproof.com/a/MOTULwKdkPPk) _2026-06-16 · **Sponsored**_ Includes a built-in level editor, campaign with elemental heroes, and boss encounters. ## [The Dashboard the Verification Needed](https://monogate.org/blog/the-dashboard-the-verification-needed) _2026-06-14 · Monogate — Research Blog_ We shipped a constructive Khovanskii framework on MachLib, then built the CI dashboard the framework deserved. The dashboard caught us over-counting on its first run. ## [A Constructive Khovanskii Reduction — the SingleExp (eˣ) Case](https://monogate.org/blog/constructive-khovanskii) _2026-06-14 · Monogate — Research Blog_ MachLib now ships a finite zero-count bound for polynomial-in-(x, eˣ), proven modulo an axiomatized analytic base. A Forge-emitted Butler-Volmer kernel obligation closes on top of it. Honest scope inside. ## [When Go user.Lookup fails](https://nobe4.fr/posts/when-go-user.lookup-fails/) _2026-06-11 · nobe4_ A Docker base image bump turned into a multi-day debug of Go’s os/user package, NSS, SSSD, LDAP and GLIBC ABI. Here is what happened and what I learned. Throughout this post, alice is an admin account with a hardcoded entry in /etc/passwd , and bob is a regular user who only exists in the central LDAP directory. All details of /bin/client are fictitious for the purpose of this post. How it… ## [Shallow clone lies](https://nobe4.fr/posts/shallow-clone-lies/) _2026-05-30 · nobe4_ A GitHub CI script at work checks who last edited a config file. If the author isn’t the expected one, the build fails. Good guardrail, until it started lying. The script reported the wrong author: someone who never touched the file. The check failed, even though the right person had made the last edit. The setup The CI workflow uses actions/checkout with the default settings, then checks… ## [The EML Advantage Lab](https://monogate.org/blog/eml-advantage-lab) _2026-05-28 · Monogate — Research Blog_ A bounded research ledger for where EML helps, where protected standard math wins, and which claims remain blocked. ## [Why EML Optimization Lives on the Boundary](https://monogate.org/blog/why-eml-optimization-lives-on-the-boundary) _2026-05-26 · Monogate — Research Blog_ High-dimensional volume collapse explains why EML tree search hits corners, log-domain cliffs, overflow walls, and phantom-attractor behavior. The Monogate stack now has Forge traces, IR evidence, and MachLib theorem targets for it. ## [The Third Proof-Carrying Rescue](https://monogate.org/blog/third-proof-carrying-rescue) _2026-05-26 · Monogate — Research Blog_ Forge now has a precision-escape packet for a finite phantom-attractor trace: low-precision stalling, higher-precision sensitivity, escape to an interior event, and a MachLib precision obligation. ## [The Second Proof-Carrying Rescue](https://monogate.org/blog/second-proof-carrying-rescue) _2026-05-26 · Monogate — Research Blog_ Forge now has a guard-clamp overflow rescue packet: raw overflow-wall failure, bounded guarded evaluation, guard-rescue transition, and MachLib output-safety obligation. ## [Proof-Carrying Rescue Suite v0](https://monogate.org/blog/proof-carrying-rescue-suite-v0) _2026-05-26 · Monogate — Research Blog_ The Monogate boundary-event rescue suite now has four packet-backed lanes and a unified Forge manifest. ## [Proof-Carrying Rescue Status](https://monogate.org/blog/proof-carrying-rescue-status) _2026-05-26 · Monogate — Research Blog_ A compact status table for Monogate's boundary rescue operators: Forge evidence, MachLib bridge status, and publication state. ## [Trade Bitcoin & Ethereum (Sponsored)](https://crawlproof.com/a/9KzntLx5yilD) _2026-05-25 · **Sponsored**_ Buy, sell and margin trade BTC & ETH with fiat currencies ## [How to Read the Rescue Suite](https://monogate.org/blog/how-to-read-the-rescue-suite) _2026-05-26 · Monogate — Research Blog_ A practical guide to the proof-carrying rescue suite manifest: what the packets mean, what they prove, and what they deliberately do not claim. ## [The Fourth Proof-Carrying Rescue](https://monogate.org/blog/fourth-proof-carrying-rescue) _2026-05-26 · Monogate — Research Blog_ Forge now has a saturation-deshelf packet: finite clamp-shelf collapse, pre-clamp pressure replay, boundary-structure recovery, and a MachLib clamp-invariant obligation. ## [The First Proof-Carrying Rescue](https://monogate.org/blog/first-proof-carrying-rescue) _2026-05-26 · Monogate — Research Blog_ A narrow Forge trace now demonstrates the Monogate stack's first end-to-end boundary rescue shape: raw domain-wall failure, log-domain lift, rescue packet, and MachLib positive-coordinate obligation. ## [Deutsche Telekom Fiber with a MikroTik Router](https://nobe4.fr/posts/deutsche-telekom-fiber-with-a-mikrotik-router/) _2026-05-25 · nobe4_ I switched to Deutsche Telekom Glasfaser (FTTH) and wanted to keep my MikroTik router. No FritzBox, no rented hardware, just my own box talking to the ONT. It took a couple of hours to get it working, and the journey involved a fair amount of trial and error. Here’s what I tried, what failed, and what finally worked. The setup Router : MikroTik hAP ac ONT : Deutsche Telekom Modem 2 fiber… ## [Nix RPi Bootstrapping](https://nobe4.fr/posts/nix-rpi-bootstrapping/) _2026-05-03 · nobe4_ I can never remember how to set up a Raspberry Pi. Every time I flash an SD card, I end up searching for the same wifi configuration, the same SSH setup, the same boot options. During my recent exploration of Nix, this felt like an immediate candidate for improvement: the whole configuration lives in code, and rebuilding is one command. This post covers getting NixOS onto an RPi from scratch, and… ## [One Operator, All of Applied Mathematics](https://monogate.org/blog/one-operator) _2026-04-27 · Monogate — Research Blog_ The NAND gate of continuous math. A single binary operation eml(x, y) = exp(x) − ln(y) generates every elementary function — and the structural fingerprint of an expression turns out to predict where it came from. ## [Hear the Math: When Equations Become Sound](https://monogate.org/blog/hear-the-math) _2026-04-27 · Monogate — Research Blog_ The best-selling synthesizer in history runs on a Bessel function. The Gibbs phenomenon's 9% overshoot is a theorem you can hear. Three interactive demos at 1op.io let you turn structural complexity into sound. ## [The Equation That Counts Physics](https://monogate.org/blog/dynamics-counter) _2026-04-27 · Monogate — Research Blog_ Hand a damped-oscillator equation to a computer and it can tell you, without knowing any physics, that there's one oscillation and one decay inside it. Across 193 expressions and 12 domains, this counter holds at ρ = +0.885. ## [How Claude and I Built a Research Program in Two Weeks](https://monogate.org/blog/built-with-claude) _2026-04-27 · Monogate — Research Blog_ 578 expressions, 50 Lean theorems, 5 PyPI packages, an npm port, a HuggingFace dataset, three websites, four interactive demos. Two weeks. One human. Here's what actually worked, what failed, and what the audit system caught before it reached the public. ## [Which Way Does the Transform Go?](https://monogate.org/blog/which-way-does-the-transform-go) _2026-04-23 · Monogate — Research Blog_ Classical integral transforms partition into three ELC-direction classes. The direction is determined by the kernel. ## [What We Got Wrong](https://monogate.org/blog/what-we-got-wrong) _2026-04-23 · Monogate — Research Blog_ Four things we retracted, corrected, or demoted during the 2026-04 foundation audit. What survived is stronger for it. ## [Two Boundaries of ELC](https://monogate.org/blog/two-boundaries) _2026-04-23 · Monogate — Research Blog_ The elementary logarithmic closure is bounded by two structurally independent obstructions. Classical analysis guards one edge; classical algebra guards the other. ## [Planck Radiation Is ELC-Native (No Trig Needed)](https://monogate.org/blog/planck-elc-native) _2026-04-23 · Monogate — Research Blog_ Six canonical electromagnetic formulas costed in F16 nodes. Planck's radiation law sits entirely inside the exp-log closure — unlike wave equations, which must cross to complex EML for cos. A double-angle identity inflates cost. ## [The Oscillation Boundary](https://monogate.org/blog/oscillation-boundary) _2026-04-23 · Monogate — Research Blog_ Across 315 tested equations, a clean dichotomy: oscillatory functions sit outside ELC with one exception — a non-elementary token. ## [When Olympiad Problems Produce EML Trees](https://monogate.org/blog/olympiad-meets-eml) _2026-04-23 · Monogate — Research Blog_ Classical functional equations characterise exp and ln, and their solutions turn out to be minimal EML trees — often cheaper than the equations that define them. ## [FMA Is the Only Primitive That Matters](https://monogate.org/blog/fma-staircase) _2026-04-23 · Monogate — Research Blog_ We measured the node-cost decay across seven basis states on 222 elementary-function equations. One primitive dominates: fused-multiply-add. ## [Why EAL and EXL Share the Multiplier 4.3164206…](https://monogate.org/blog/conjugacy-explained) _2026-04-23 · Monogate — Research Blog_ The EAL self-map and the EXL self-map have completely different fixed points, yet both have derivative exactly 4.3164206… at those points. The answer is a one-line topological conjugacy via exp. ## [Only the Multiplicative F16 Operators Are Chaotic](https://monogate.org/blog/chaos-multiplicative-operators) _2026-04-23 · Monogate — Research Blog_ A 600-point parameter sweep across all 16 F16 operators shows that 12 of them collapse to period-2 dynamics, while the four multiplicative operators (EXL, DEXL, EXN, DEXN) exhibit long cycles, chaos, and a period-3 Sharkovskii signature. ## [The ReLU–Softplus Error is Exactly ln(2)/β](https://monogate.org/blog/relu-softplus-exact-error) _2026-04-22 · Monogate — Research Blog_ How much accuracy you lose by approximating ReLU with the smooth softplus activation — to three decimals, this is a clean closed-form constant. ## [Every Log Branch Has Its Own Attractor](https://monogate.org/blog/lambert-log-branch-attractors) _2026-04-22 · Monogate — Research Blog_ Iterate principal log on any seed in ℂ and you land at 0.318 + 1.337i. Use the k-th branch and you land somewhere else — at z\_k\* = −W\_k(−1). Infinitely many complex attractors, one per integer, all provably repelling under exp.