From 0e0249d113370f6f44b1dffa4e989571839edf92 Mon Sep 17 00:00:00 2001 From: Michael Zhang Date: Thu, 12 Oct 2023 17:22:58 -0500 Subject: [PATCH] sad --- .prettierignore | 3 + astro.config.ts | 4 +- blog.agda-lib | 4 +- package-lock.json | 10938 ---------------- package.json | 5 +- plugin/remark-agda.ts | 9 +- pnpm-lock.yaml | 97 +- src/consts.ts | 4 +- ...023-04-21-proving-true-from-false.lagda.md | 11 +- .../posts/2023-05-06-equivalences.lagda.md | 19 +- .../posts/2023-10-10-dtt-project.lagda.md | 11 + src/pmltt-lang.agda | 15 + 12 files changed, 69 insertions(+), 11051 deletions(-) create mode 100644 .prettierignore delete mode 100644 package-lock.json create mode 100644 src/pmltt-lang.agda diff --git a/.prettierignore b/.prettierignore new file mode 100644 index 0000000..32626aa --- /dev/null +++ b/.prettierignore @@ -0,0 +1,3 @@ +public/katex +pnpm-lock.yaml +src/styles/fork-awesome diff --git a/astro.config.ts b/astro.config.ts index 1e92afd..0a8f389 100644 --- a/astro.config.ts +++ b/astro.config.ts @@ -12,7 +12,7 @@ import remarkMath from "remark-math"; import rehypeKatex from "rehype-katex"; // import addProofMacros from "./utils/mzproofs"; -import remarkAgda from "./plugin/remark-agda"; +// import remarkAgda from "./plugin/remark-agda"; // https://astro.build/config export default defineConfig({ @@ -28,7 +28,7 @@ export default defineConfig({ remarkPlugins: [ remarkAdmonitions, remarkReadingTime, - remarkAgda, + // remarkAgda, [remarkMath, {}], remarkMermaid, emoji, diff --git a/blog.agda-lib b/blog.agda-lib index 8a1f0d8..b2eca72 100644 --- a/blog.agda-lib +++ b/blog.agda-lib @@ -1,2 +1,2 @@ -include: src/content/posts -depend: standard-library \ No newline at end of file +include: src/content/posts src +depend: standard-library diff --git a/package-lock.json b/package-lock.json deleted file mode 100644 index 584aa82..0000000 --- a/package-lock.json +++ /dev/null @@ -1,10938 +0,0 @@ -{ - "name": "blog", - "version": "0.0.1", - "lockfileVersion": 3, - "requires": true, - "packages": { - "": { - "name": "blog", - "version": "0.0.1", - "dependencies": { - "@astrojs/mdx": "^1.0.0", - "@astrojs/rss": "^3.0.0", - "@astrojs/sitemap": "^3.0.0", - "astro": "^3.0.3", - "astro-diagram": "^0.7.0", - "astro-imagetools": "^0.9.0", - "astro-remark-description": "^1.0.1", - "classnames": "^2.3.2", - "fork-awesome": "^1.2.0", - "katex": "^0.16.8", - "lodash-es": "^4.17.21", - "mdast-util-to-string": "^4.0.0", - 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"is-plain-obj": "^4.0.0", - "trough": "^2.0.0", - "vfile": "^6.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unified/node_modules/@types/unist": { - "version": "3.0.0", - "dev": true, - "license": "MIT" - }, - "node_modules/unified/node_modules/unist-util-stringify-position": { - "version": "4.0.0", - "dev": true, - "license": "MIT", - "dependencies": { - "@types/unist": "^3.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unified/node_modules/vfile": { - "version": "6.0.1", - "dev": true, - "license": "MIT", - "dependencies": { - "@types/unist": "^3.0.0", - "unist-util-stringify-position": "^4.0.0", - "vfile-message": "^4.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unified/node_modules/vfile-message": { - "version": "4.0.2", - "dev": true, - "license": "MIT", - "dependencies": { - "@types/unist": "^3.0.0", - "unist-util-stringify-position": "^4.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-find-after": { - "version": "4.0.1", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0", - "unist-util-is": "^5.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-flatmap": { - "version": "1.0.0", - "license": "MIT" - }, - "node_modules/unist-util-generated": { - "version": "2.0.1", - "license": "MIT", - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-is": { - "version": "5.2.1", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-modify-children": { - "version": "3.1.1", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0", - "array-iterate": "^2.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-position": { - "version": "4.0.4", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-position-from-estree": { - "version": "1.1.2", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-remove-position": { - "version": "4.0.2", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0", - "unist-util-visit": "^4.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-remove-position/node_modules/unist-util-visit": { - "version": "4.1.2", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0", - "unist-util-is": "^5.0.0", - "unist-util-visit-parents": "^5.1.1" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-remove-position/node_modules/unist-util-visit-parents": { - "version": "5.1.3", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0", - "unist-util-is": "^5.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-stringify-position": { - "version": "3.0.3", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-visit": { - "version": "5.0.0", - "license": "MIT", - "dependencies": { - "@types/unist": "^3.0.0", - "unist-util-is": "^6.0.0", - "unist-util-visit-parents": "^6.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-visit-children": { - "version": "2.0.2", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-visit-parents": { - "version": "6.0.1", - "license": "MIT", - "dependencies": { - "@types/unist": "^3.0.0", - "unist-util-is": "^6.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-visit-parents/node_modules/@types/unist": { - "version": "3.0.0", - "license": "MIT" - }, - "node_modules/unist-util-visit-parents/node_modules/unist-util-is": { - "version": "6.0.0", - "license": "MIT", - "dependencies": { - "@types/unist": "^3.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/unist-util-visit/node_modules/@types/unist": { - "version": "3.0.0", - "license": "MIT" - }, - "node_modules/unist-util-visit/node_modules/unist-util-is": { - "version": "6.0.0", - "license": "MIT", - "dependencies": { - "@types/unist": "^3.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/utif": { - "version": "2.0.1", - "license": "MIT", - "dependencies": { - "pako": "^1.0.5" - } - }, - "node_modules/util-deprecate": { - "version": "1.0.2", - "license": "MIT" - }, - "node_modules/uuid": { - "version": "9.0.1", - "funding": [ - "https://github.com/sponsors/broofa", - "https://github.com/sponsors/ctavan" - ], - "license": "MIT", - "bin": { - "uuid": "dist/bin/uuid" - } - }, - "node_modules/uvu": { - "version": "0.5.6", - "license": "MIT", - "dependencies": { - "dequal": "^2.0.0", - "diff": "^5.0.0", - "kleur": "^4.0.3", - "sade": "^1.7.3" - }, - "bin": { - "uvu": "bin.js" - }, - "engines": { - "node": ">=8" - } - }, - "node_modules/vfile": { - "version": "5.3.7", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0", - "is-buffer": "^2.0.0", - "unist-util-stringify-position": "^3.0.0", - "vfile-message": "^3.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/vfile-location": { - "version": "4.1.0", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0", - "vfile": "^5.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/vfile-message": { - "version": "3.1.4", - "license": "MIT", - "dependencies": { - "@types/unist": "^2.0.0", - "unist-util-stringify-position": "^3.0.0" - }, - "funding": { - "type": "opencollective", - "url": "https://opencollective.com/unified" - } - }, - "node_modules/vscode-oniguruma": { - "version": "1.7.0", - "license": "MIT" - }, - "node_modules/vscode-textmate": { - "version": "8.0.0", - "license": "MIT" - }, - "node_modules/web-namespaces": { - "version": "2.0.1", - "license": "MIT", - "funding": { - "type": "github", - "url": "https://github.com/sponsors/wooorm" - } - }, - "node_modules/web-worker": { - "version": "1.2.0", - "license": "Apache-2.0" - }, - "node_modules/webidl-conversions": { - "version": "3.0.1", - "license": "BSD-2-Clause" - }, - "node_modules/whatwg-url": { - "version": "5.0.0", - "license": "MIT", - "dependencies": { - "tr46": "~0.0.3", - "webidl-conversions": "^3.0.0" - } - }, - "node_modules/wrappy": { - "version": "1.0.2", - "license": "ISC" - }, - "node_modules/ws": { - "version": "8.9.0", - "license": "MIT", - "engines": { - "node": ">=10.0.0" - }, - "peerDependencies": { - "bufferutil": "^4.0.1", - "utf-8-validate": "^5.0.2" - }, - "peerDependenciesMeta": { - "bufferutil": { - "optional": true - }, - "utf-8-validate": { - "optional": true - } - } - }, - "node_modules/xhr": { - "version": "2.6.0", - "license": "MIT", - "dependencies": { - "global": "~4.4.0", - "is-function": "^1.0.1", - "parse-headers": "^2.0.0", - "xtend": "^4.0.0" - } - }, - "node_modules/xml-parse-from-string": { - "version": "1.0.1", - "license": "MIT" - }, - "node_modules/xml2js": { - "version": "0.4.23", - "license": "MIT", - "dependencies": { - "sax": ">=0.6.0", - "xmlbuilder": "~11.0.0" - }, - "engines": { - "node": ">=4.0.0" - } - }, - "node_modules/xmlbuilder": { - "version": "11.0.1", - "license": "MIT", - "engines": { - "node": ">=4.0" - } - }, - "node_modules/xtend": { - "version": "4.0.2", - "license": "MIT", - "engines": { - "node": ">=0.4" - } - }, - "node_modules/yallist": { - "version": "4.0.0", - "license": "ISC", - "optional": true - }, - "node_modules/yauzl": { - "version": "2.10.0", - "license": "MIT", - "dependencies": { - "buffer-crc32": "~0.2.3", - "fd-slicer": "~1.1.0" - } - }, - "node_modules/yocto-queue": { - "version": "1.0.0", - "license": "MIT", - "engines": { - "node": ">=12.20" - }, - "funding": { - "url": "https://github.com/sponsors/sindresorhus" - } - }, - "node_modules/zod": { - "version": "3.21.1", - "license": "MIT", - "funding": { - "url": "https://github.com/sponsors/colinhacks" - } - }, - "node_modules/zwitch": { - "version": "2.0.4", - "license": "MIT", - "funding": { - "type": "github", - "url": "https://github.com/sponsors/wooorm" - } - } - } -} diff --git a/package.json b/package.json index e398d28..c1b1c95 100644 --- a/package.json +++ b/package.json @@ -7,7 +7,8 @@ "start": "astro dev", "build": "astro build", "preview": "astro preview", - "astro": "astro" + "astro": "astro", + "format": "prettier -w ." }, "dependencies": { "@astrojs/mdx": "^1.0.0", @@ -40,6 +41,8 @@ "prettier": "^3.0.3", "prettier-plugin-astro": "^0.12.0", "sass": "^1.66.1", + "sharp": "^0.32.6", + "shiki": "^0.14.5", "unified": "^11.0.2", "unist-util-visit": "^5.0.0" } diff --git a/plugin/remark-agda.ts b/plugin/remark-agda.ts index f7e498f..0675435 100644 --- a/plugin/remark-agda.ts +++ b/plugin/remark-agda.ts @@ -11,16 +11,15 @@ import { join, parse } from "node:path"; import { visit } from "unist-util-visit"; const remarkAgda: RemarkPlugin = () => { - return function (tree, { data }) { - const path: string = data.astro.fileURL.pathname; + return function (tree, { history }) { + // console.log("args", arguments) + const path: string = history[history.length - 1]; + console.log("path", history); if (!(path.endsWith(".lagda.md") || path.endsWith(".agda"))) return; - // console.log("data", data); - const tempDir = mkdtempSync(join(tmpdir(), "agdaRender.")); const outDir = join(tempDir, "output"); mkdirSync(outDir, { recursive: true }); - console.log("work dir", tempDir); const childOutput = spawnSync( "agda", diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml index 86e286f..046767d 100644 --- a/pnpm-lock.yaml +++ b/pnpm-lock.yaml @@ -91,6 +91,12 @@ devDependencies: sass: specifier: ^1.66.1 version: 1.69.2 + sharp: + specifier: ^0.32.6 + version: 0.32.6 + shiki: + specifier: ^0.14.5 + version: 0.14.5 unified: specifier: ^11.0.2 version: 11.0.3 @@ -1540,7 +1546,6 @@ packages: /ansi-sequence-parser@1.1.1: resolution: {integrity: sha512-vJXt3yiaUL4UU546s3rPXlsry/RnM730G1+HkpKE012AN0sx1eOrxSu95oKDIonskeLTijMgqWZ3uDEe3NFvyg==} - dev: false /ansi-styles@3.2.1: resolution: {integrity: sha512-VT0ZI6kZRdTh8YyJw3SMbYm/u+NqfsAxEpWO0Pf9sq8/e94WxxOpPKx9FR1FlyCtOVDNOQ+8ntlqFxiRc+r5qA==} @@ -1690,7 +1695,7 @@ packages: yargs-parser: 21.1.1 zod: 3.21.1 optionalDependencies: - sharp: 0.32.5 + sharp: 0.32.6 transitivePeerDependencies: - '@types/node' - less @@ -1705,8 +1710,6 @@ packages: /b4a@1.6.4: resolution: {integrity: sha512-fpWrvyVHEKyeEvbKZTVOeZF3VSKKWtJxFIxX/jaVPf+cLbGUSitjb49pHLqPV2BUNNZ0LcoeEGfE/YCpyDYHIw==} requiresBuild: true - dev: false - optional: true /bail@2.0.2: resolution: {integrity: sha512-0xO6mYd7JB2YesxDKplafRpsiOzPt9V02ddPCLbY1xYGPOX24NTyN50qnUxgCPcSoYMhKpAuBTjQoRZCAkUDRw==} @@ -1717,7 +1720,6 @@ packages: /base64-js@1.5.1: resolution: {integrity: sha512-AKpaYlHn8t4SVbOHCy+b5+KKgvR4vrsD8vbvrbiQJps7fKDTkjkDry6ji0rUJjC0kzbNePLwzxq8iypo41qeWA==} - dev: false /binary-extensions@2.2.0: resolution: {integrity: sha512-jDctJ/IVQbZoJykoeHbhXpOlNBqGNcwXJKJog42E5HDPUwQTSdjCHdihjj0DlnheQ7blbT6dHOafNAiS8ooQKA==} @@ -1730,7 +1732,6 @@ packages: buffer: 5.7.1 inherits: 2.0.4 readable-stream: 3.6.2 - dev: false /bl@5.1.0: resolution: {integrity: sha512-tv1ZJHLfTDnXE6tMHv73YgSJaWR2AFuPwMntBe7XL/GBFHnT0CLnsHMogfk5+GzCDC5ZWarSCYaIGATZt9dNsQ==} @@ -1796,7 +1797,6 @@ packages: dependencies: base64-js: 1.5.1 ieee754: 1.2.1 - dev: false /buffer@6.0.3: resolution: {integrity: sha512-FTiCpNxtwiZZHEZbcbTIcZjERVICn9yq/pDFkTl95/AxzD1naBctN7YO68riM/gLSDY7sdrMby8hofADYuuqOA==} @@ -1866,7 +1866,6 @@ packages: /chownr@1.1.4: resolution: {integrity: sha512-jJ0bqzaylmJtVnNgzTeSOs8DPavpbYgEr/b0YL8/2GO3xJEhInFmhKMUnEJQjZumK7KXGFhUy89PrsJWlakBVg==} requiresBuild: true - dev: false /ci-info@3.8.0: resolution: {integrity: sha512-eXTggHWSooYhq49F2opQhuHWgzucfF2YgODK4e1566GQs5BIfP30B0oenwBJHfWxAs2fyPB1s7Mg949zLf61Yw==} @@ -1911,8 +1910,6 @@ packages: requiresBuild: true dependencies: color-name: 1.1.4 - dev: false - optional: true /color-name@1.1.3: resolution: {integrity: sha512-72fSenhMw2HZMTVHeCA9KCmpEIbzWiQsjN+BHcBbS9vr1mtt+vJjPdksIBNUmKAW8TFUDPJK5SUU3QhE9NEXDw==} @@ -1921,8 +1918,6 @@ packages: /color-name@1.1.4: resolution: {integrity: sha512-dOy+3AuW3a2wNbZHIuMZpTcgjGuLU/uBL/ubcZF9OXbDo8ff4O8yVp5Bf0efS8uEoYo5q4Fx7dY9OgQGXgAsQA==} requiresBuild: true - 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@@ -26,6 +26,7 @@ infix 4 _≢_ _≢_ : ∀ {A : Set} → A → A → Set x ≢ y = ¬ (x ≡ y) ``` +
The other day, I was trying to prove `true ≢ false` in Agda. I would write the diff --git a/src/content/posts/2023-05-06-equivalences.lagda.md b/src/content/posts/2023-05-06-equivalences.lagda.md index 74ce698..342acd9 100644 --- a/src/content/posts/2023-05-06-equivalences.lagda.md +++ b/src/content/posts/2023-05-06-equivalences.lagda.md @@ -3,9 +3,9 @@ title: "Equivalences" slug: "equivalences" date: 2023-05-06 tags: -- type-theory -- agda -- hott + - type-theory + - agda + - hott math: true draft: true --- @@ -58,6 +58,7 @@ we can just give $y$ again, and use the `refl` function above for the equality proof ``` + ``` The next step is to prove that it's contractible. Using the same derivation for @@ -148,9 +149,9 @@ Blocked on this issue: https://git.mzhang.io/school/cubical/issues/1 Now we can prove that the path is the same \begin{CD} - A @> > > B \\\ - @VVV @VVV \\\ - C @> > > D +A @> > > B \\\ + @VVV @VVV \\\ + C @> > > D \end{CD} - $A \rightarrow B$ is the path of the original fiber that we've specified, which is $f\ x \equiv y$ @@ -165,10 +166,12 @@ Bool-id-is-equiv .equiv-proof y .snd y₁ i .snd j = c-d = y₁ .snd in ? - ``` +``` Blocked on this issue: https://git.mzhang.io/school/cubical/issues/2 - ``` + +``` + ``` ## Other Equivalences diff --git a/src/content/posts/2023-10-10-dtt-project.lagda.md b/src/content/posts/2023-10-10-dtt-project.lagda.md index 0f1c3c1..028bfba 100644 --- a/src/content/posts/2023-10-10-dtt-project.lagda.md +++ b/src/content/posts/2023-10-10-dtt-project.lagda.md @@ -119,6 +119,17 @@ data CompleteContext : Set where Marker : CompleteContext → String → CompleteContext ``` +### Well-Formedness + +```agda +type-well-formed : (A : Type) → Set +type-well-formed Unit = {! !} +type-well-formed (Var x) = {! !} +type-well-formed (Existential x) = {! !} +type-well-formed (Forall x A) = {! !} +type-well-formed (Arrow A A₁) = {! !} +``` + ### Type checking ```agda diff --git a/src/pmltt-lang.agda b/src/pmltt-lang.agda new file mode 100644 index 0000000..37b1e86 --- /dev/null +++ b/src/pmltt-lang.agda @@ -0,0 +1,15 @@ +open import Data.String + +-- Chapter 3.6 +data Arity : Set where + zero : Arity + _⊗_ : Arity → Arity → Arity + _-→_ : Arity → Arity → Arity + +data Expr : Set where + Var : String → Arity → Expr + PrimConst : Arity → Expr + App : Expr → Expr → Expr + Abs : String → Expr → Expr + +arity-of : (e : Expr) → Arity