From 809c25c8bca80826fb18cdbb34ad070aacfb2801 Mon Sep 17 00:00:00 2001
From: Michael Zhang <mail@mzhang.io>
Date: Wed, 1 Nov 2023 23:46:22 -0500
Subject: [PATCH] ok we're back to rust

---
 .gitignore                  |   3 +-
 Cargo.lock                  | 220 ++++++++++++
 Cargo.toml                  |   3 +
 Makefile                    |   4 +
 bidir/.gitignore            |   1 +
 bidir/Cargo.lock            | 220 ++++++++++++
 bidir/Cargo.toml            |  12 +
 bidir/bidir.ts              |  57 ----
 bidir/contexts.ts           |  18 -
 bidir/data.ts               |  42 ---
 bidir/src/bidir.rs          | 134 ++++++++
 bidir/src/data.rs           |  53 +++
 bidir/src/gensym.rs         |  18 +
 bidir/src/lib.rs            |   6 +
 bidir/src/tests.rs          |  13 +
 bidir/tarpaulin-report.html | 660 ++++++++++++++++++++++++++++++++++++
 rustfmt.toml                |   1 +
 17 files changed, 1347 insertions(+), 118 deletions(-)
 create mode 100644 Cargo.lock
 create mode 100644 Cargo.toml
 create mode 100644 Makefile
 create mode 100644 bidir/.gitignore
 create mode 100644 bidir/Cargo.lock
 create mode 100644 bidir/Cargo.toml
 delete mode 100644 bidir/bidir.ts
 delete mode 100644 bidir/contexts.ts
 delete mode 100644 bidir/data.ts
 create mode 100644 bidir/src/bidir.rs
 create mode 100644 bidir/src/data.rs
 create mode 100644 bidir/src/gensym.rs
 create mode 100644 bidir/src/lib.rs
 create mode 100644 bidir/src/tests.rs
 create mode 100644 bidir/tarpaulin-report.html
 create mode 100644 rustfmt.toml

diff --git a/.gitignore b/.gitignore
index 1454376..0726eb1 100644
--- a/.gitignore
+++ b/.gitignore
@@ -9,4 +9,5 @@ node_modules
 lib/bs
 
 __tests__/**/*.mjs
-src/**/*.mjs
\ No newline at end of file
+src/**/*.mjs
+target
\ No newline at end of file
diff --git a/Cargo.lock b/Cargo.lock
new file mode 100644
index 0000000..b099ccc
--- /dev/null
+++ b/Cargo.lock
@@ -0,0 +1,220 @@
+# This file is automatically @generated by Cargo.
+# It is not intended for manual editing.
+version = 3
+
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+ "windows_i686_gnu",
+ "windows_i686_msvc",
+ "windows_x86_64_gnu",
+ "windows_x86_64_gnullvm",
+ "windows_x86_64_msvc",
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diff --git a/Cargo.toml b/Cargo.toml
new file mode 100644
index 0000000..1d7c0ed
--- /dev/null
+++ b/Cargo.toml
@@ -0,0 +1,3 @@
+[workspace]
+resolver = "2"
+members = ["bidir"]
diff --git a/Makefile b/Makefile
new file mode 100644
index 0000000..365febb
--- /dev/null
+++ b/Makefile
@@ -0,0 +1,4 @@
+.PHONY: doc
+
+doc:
+	cargo doc --workspace --no-deps --document-private-items
\ No newline at end of file
diff --git a/bidir/.gitignore b/bidir/.gitignore
new file mode 100644
index 0000000..1de5659
--- /dev/null
+++ b/bidir/.gitignore
@@ -0,0 +1 @@
+target
\ No newline at end of file
diff --git a/bidir/Cargo.lock b/bidir/Cargo.lock
new file mode 100644
index 0000000..b099ccc
--- /dev/null
+++ b/bidir/Cargo.lock
@@ -0,0 +1,220 @@
+# This file is automatically @generated by Cargo.
+# It is not intended for manual editing.
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+ "windows_i686_gnu",
+ "windows_i686_msvc",
+ "windows_x86_64_gnu",
+ "windows_x86_64_gnullvm",
+ "windows_x86_64_msvc",
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diff --git a/bidir/Cargo.toml b/bidir/Cargo.toml
new file mode 100644
index 0000000..44c1c6e
--- /dev/null
+++ b/bidir/Cargo.toml
@@ -0,0 +1,12 @@
+[package]
+name = "bidir"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[dependencies]
+anyhow = "1.0.75"
+im = "15.1.0"
+lazy_static = "1.4.0"
+parking_lot = "0.12.1"
diff --git a/bidir/bidir.ts b/bidir/bidir.ts
deleted file mode 100644
index 07a0319..0000000
--- a/bidir/bidir.ts
+++ /dev/null
@@ -1,57 +0,0 @@
-import { isTypeInContext } from "./contexts";
-import { ContextEntry, Term, Type } from "./data";
-
-function check(
-  ctx: ContextEntry[],
-  term: Term,
-  type: Type
-): [boolean, ContextEntry[]] {
-  switch (term.kind) {
-    case "var":
-      break;
-    case "unit":
-      return [type.kind === "unit", ctx];
-    case "lambda": {
-      // Get A and B first
-      if (type.kind !== "arrow") return [false, ctx];
-      const { input: A, output: B } = type;
-    }
-    case "app":
-      break;
-    case "annot":
-      break;
-  }
-}
-
-function synthesize(ctx: ContextEntry[], term: Term): [Type, ContextEntry[]] {
-  switch (term.kind) {
-    case "var": {
-      const res = lookupTypeVariable(ctx, term.name);
-      if (!res) throw new Error("wtf?");
-      return [res, ctx];
-    }
-    case "unit":
-      return [{ kind: "unit" }, ctx];
-    case "lambda": {
-    }
-    case "app":
-      break;
-    case "annot": {
-      // Require that the type exists
-      if (!isTypeInContext(term.type, ctx))
-        throw new Error("type doesn't exist");
-
-      // Require that the term checks against the type
-      const [result, outputCtx] = check(ctx, term.term, term.type);
-      if (!result) throw new Error("invalid annotation: term doesn't check");
-
-      return [term.type, outputCtx];
-    }
-  }
-}
-
-function synthesizeApp(
-  ctx: ContextEntry[],
-  funcType: Type,
-  term: Term
-): [Type, ContextEntry[]] {}
diff --git a/bidir/contexts.ts b/bidir/contexts.ts
deleted file mode 100644
index aa57188..0000000
--- a/bidir/contexts.ts
+++ /dev/null
@@ -1,18 +0,0 @@
-// Helper functions for dealing with contexts
-
-import { ContextEntry, Type } from "./data";
-import { isEqual } from "lodash";
-
-/** Γ |- A (is the given type in this context?) */
-export function isTypeInContext(type: Type, ctx: ContextEntry[]): boolean {
-  for (const entry of ctx) {
-    switch (entry.kind) {
-      case "termAnnot":
-        if (isEqual(entry.type, type)) return true;
-        break;
-      default:
-        continue;
-    }
-  }
-  return false;
-}
diff --git a/bidir/data.ts b/bidir/data.ts
deleted file mode 100644
index 276a26d..0000000
--- a/bidir/data.ts
+++ /dev/null
@@ -1,42 +0,0 @@
-/**
- * Terms e ::= x | () | λx. e | e e | (e : A)
- * Types A, B, C ::= 1 | α | ^α | ∀α. A | A → B
- * Monotypes τ, σ ::= 1 | α | ^α | τ → σ
- * Contexts Γ, ∆, Θ ::= · | Γ, α | Γ, x : A
- *                      | Γ, ^α | Γ, ^α = τ | Γ, I^α
- * Complete Contexts Ω ::= · | Ω, α | Ω, x : A
- *                      | Ω, ^α = τ | Ω, I^
- */
-
-export type Term =
-  | { kind: "var"; name: string }
-  | { kind: "unit" }
-  | { kind: "lambda"; name: string; body: Term }
-  | { kind: "app"; func: Term; arg: Term }
-  | { kind: "annot"; term: Term; type: Type };
-
-export type Type =
-  | { kind: "unit" }
-  | { kind: "var"; name: string }
-  | { kind: "existential"; name: string }
-  | { kind: "poly"; name: string; type: Type }
-  | { kind: "arrow"; input: Type; output: Type };
-
-export type Monotype =
-  | { kind: "unit" }
-  | { kind: "var"; name: string }
-  | { kind: "existential"; name: string }
-  | { kind: "arrow"; input: Monotype; output: Monotype };
-
-export type ContextEntry =
-  | { kind: "typeVar"; name: string }
-  | { kind: "termAnnot"; name: string; type: Type }
-  | { kind: "existentialVar"; name: string }
-  | { kind: "existentialSolved"; name: string; type: Monotype }
-  | { kind: "marker"; name: string };
-
-export type CompleteContextEntry =
-  | { kind: "typeVar"; name: string }
-  | { kind: "termAnnot"; name: string; type: Type }
-  | { kind: "existentialSolved"; name: string; type: Monotype }
-  | { kind: "marker"; name: string };
diff --git a/bidir/src/bidir.rs b/bidir/src/bidir.rs
new file mode 100644
index 0000000..5d6fe9e
--- /dev/null
+++ b/bidir/src/bidir.rs
@@ -0,0 +1,134 @@
+use anyhow::{bail, Result};
+
+use crate::{
+  data::{ctx_lookup_type, Context, ContextEntry, Term, Type},
+  gensym::gensym_prefix,
+};
+
+// Figure 8. Applying a context, as a substitution, to a type
+
+pub fn app_ctx(ctx: &Context, ty: &Type) -> Type {
+  match ty {
+    Type::Existential(_) => todo!(),
+    Type::Polytype(_, _) => todo!(),
+    Type::Arrow(a, b) => Type::Arrow(Box::new(app_ctx(ctx, a)), Box::new(app_ctx(ctx, b))),
+    _ => ty.clone(),
+  }
+}
+
+// Figure 9. Algorithmic subtyping
+
+/// Under input context Γ , type A is a subtype of B, with output context ∆
+pub fn subtype(ctx: &Context, a: &Type, b: &Type) -> Result<Context> {
+  println!("subtype(ctx = {ctx:?}, a = {a:?}, b = {b:?})");
+  match (a, b) {
+    // <:Unit rule
+    (Type::Unit, Type::Unit) => Ok(ctx.clone()),
+
+    // <:Var rule
+    (Type::Var(x), Type::Var(y)) if x == y => {
+      // Ensure that the name exists in the context
+      if !ctx.iter().any(|entry| match entry {
+        ContextEntry::ExistentialVar(z) if x == z => true,
+        _ => false,
+      }) {
+        bail!("name {x} not in context");
+      }
+
+      Ok(ctx.clone())
+    }
+
+    (Type::Existential(_), Type::Unit) => todo!(),
+    (Type::Existential(_), Type::Var(_)) => todo!(),
+    (Type::Existential(_), Type::Existential(_)) => todo!(),
+    (Type::Existential(_), Type::Polytype(_, _)) => todo!(),
+    (Type::Existential(_), Type::Arrow(_, _)) => todo!(),
+    (Type::Polytype(_, _), Type::Unit) => todo!(),
+    (Type::Polytype(_, _), Type::Var(_)) => todo!(),
+    (Type::Polytype(_, _), Type::Existential(_)) => todo!(),
+    (Type::Polytype(_, _), Type::Polytype(_, _)) => todo!(),
+    (Type::Polytype(_, _), Type::Arrow(_, _)) => todo!(),
+    (Type::Arrow(_, _), Type::Unit) => todo!(),
+    (Type::Arrow(_, _), Type::Var(_)) => todo!(),
+    (Type::Arrow(_, _), Type::Existential(_)) => todo!(),
+    (Type::Arrow(_, _), Type::Polytype(_, _)) => todo!(),
+    (Type::Arrow(_, _), Type::Arrow(_, _)) => todo!(),
+
+    _ => bail!("subtyping relation failed"),
+  }
+}
+
+// Figure 10. Instantiation
+
+// Figure 11. Algorithmic typing
+
+pub fn typecheck(ctx: &Context, term: &Term, ty: &Type) -> Result<Context> {
+  println!("typecheck(ctx = {ctx:?}, term = {term:?}, ty = {ty:?})");
+  match (term, ty) {
+    // 1I rule
+    (Term::Unit, Type::Unit) => Ok(ctx.clone()),
+
+    // ∀I rule
+    (e, Type::Polytype(x, tyA)) => todo!(),
+
+    // →I rule
+    (Term::Lam(x, e), Type::Arrow(ty_a, ty_b)) => {
+      let mut aug_ctx = ctx.clone();
+      todo!()
+    }
+
+    // Sub rule
+    (term, ty) => {
+      let (ty_a, ctx_theta) = synthesize(ctx, term)?;
+      let a = app_ctx(&ctx_theta, &ty_a);
+      let b = app_ctx(&ctx_theta, ty);
+      let ctx_delta = subtype(&ctx_theta, &a, &b)?;
+      Ok(ctx_delta)
+    }
+  }
+}
+
+pub fn synthesize(ctx: &Context, term: &Term) -> Result<(Type, Context)> {
+  println!("synthesize(ctx = {ctx:?}, term = {term:?}");
+  match term {
+    // Var rule
+    Term::Var(name) => {
+      let ty = match ctx_lookup_type(ctx, name) {
+        Some(v) => v,
+        None => bail!("could not find name {name}"),
+      };
+      Ok((ty, ctx.clone()))
+    }
+
+    // 1I⇒ rule
+    Term::Unit => Ok((Type::Unit, ctx.clone())),
+
+    // Anno rule
+    Term::Annot(_, _) => todo!(),
+
+    // →I⇒ rule
+    Term::Lam(x, e) => {
+      let mut aug_ctx = ctx.clone();
+      let ex_a = gensym_prefix("ex");
+      let ex_b = gensym_prefix("ex");
+      aug_ctx.push_back(ContextEntry::TypeVar(ex_a.clone()));
+      aug_ctx.push_back(ContextEntry::TypeVar(ex_b.clone()));
+      aug_ctx.push_back(ContextEntry::TermAnnot(x.clone(), Type::Var(ex_a.clone())));
+
+      let res = typecheck(&aug_ctx, &e, &Type::Var(ex_b.clone()));
+      Ok((
+        Type::Arrow(
+          Box::new(Type::Existential(ex_a)),
+          Box::new(Type::Existential(ex_b)),
+        ),
+        ctx.clone(),
+      ))
+    }
+
+    // →E rule
+    Term::App(e1, e2) => {
+      let (tyA, out_ctx) = synthesize(ctx, e1)?;
+      todo!()
+    }
+  }
+}
diff --git a/bidir/src/data.rs b/bidir/src/data.rs
new file mode 100644
index 0000000..1dfb5b0
--- /dev/null
+++ b/bidir/src/data.rs
@@ -0,0 +1,53 @@
+use im::Vector;
+
+#[derive(Debug, Clone)]
+pub enum Term {
+  Unit,
+  Var(String),
+  Lam(String, Box<Term>),
+  App(Box<Term>, Box<Term>),
+  Annot(Box<Term>, Type),
+}
+
+#[derive(Debug, Clone)]
+pub enum Type {
+  Unit,
+  Var(String),
+  Existential(String),
+  Polytype(String, Box<Type>),
+  Arrow(Box<Type>, Box<Type>),
+}
+
+#[derive(Debug, Clone)]
+pub enum Monotype {
+  Unit,
+  Var(String),
+  Existential(String),
+  Arrow(Box<Monotype>, Box<Monotype>),
+}
+
+pub type Context = Vector<ContextEntry>;
+
+#[derive(Debug, Clone)]
+pub enum ContextEntry {
+  TypeVar(String),
+  TermAnnot(String, Type),
+  ExistentialVar(String),
+  ExistentialSolved(String, Monotype),
+  Marker(String),
+}
+
+#[derive(Debug, Clone)]
+pub enum CompleteContextEntry {
+  TypeVar(String),
+  TermAnnot(String, Type),
+  ExistentialSolved(String, Monotype),
+  Marker(String),
+}
+
+pub fn ctx_lookup_type(ctx: &Context, name: impl AsRef<str>) -> Option<Type> {
+  ctx.iter().find_map(|entry| match entry {
+    ContextEntry::TermAnnot(n, t) if n == name.as_ref() => Some(t.clone()),
+    _ => None,
+  })
+}
diff --git a/bidir/src/gensym.rs b/bidir/src/gensym.rs
new file mode 100644
index 0000000..738ff46
--- /dev/null
+++ b/bidir/src/gensym.rs
@@ -0,0 +1,18 @@
+use lazy_static::lazy_static;
+use parking_lot::Mutex;
+
+lazy_static! {
+  static ref CTR: Mutex<usize> = Mutex::new(0);
+}
+
+pub fn gensym() -> String {
+  gensym_prefix("var")
+}
+
+pub fn gensym_prefix(prefix: impl AsRef<str>) -> String {
+  let mut g = CTR.lock();
+  let ctr = *g;
+  *g += 1;
+  drop(g);
+  format!("{}{}", prefix.as_ref(), ctr)
+}
diff --git a/bidir/src/lib.rs b/bidir/src/lib.rs
new file mode 100644
index 0000000..9802e1a
--- /dev/null
+++ b/bidir/src/lib.rs
@@ -0,0 +1,6 @@
+mod bidir;
+mod data;
+
+mod gensym;
+#[cfg(test)]
+mod tests;
diff --git a/bidir/src/tests.rs b/bidir/src/tests.rs
new file mode 100644
index 0000000..f176c3e
--- /dev/null
+++ b/bidir/src/tests.rs
@@ -0,0 +1,13 @@
+use anyhow::{bail, Result};
+use im::Vector;
+
+use crate::{bidir::synthesize, data::Term};
+
+#[test]
+fn test_id() -> Result<()> {
+  let id = Term::Lam("x".to_owned(), Box::new(Term::Var("x".to_owned())));
+  let ctx = Vector::new();
+  let (ty, out_ctx) = synthesize(&ctx, &id)?;
+  //   bail!("Output: {ty:?} in context {out_ctx:?}");
+  Ok(())
+}
diff --git a/bidir/tarpaulin-report.html b/bidir/tarpaulin-report.html
new file mode 100644
index 0000000..6aa70e7
--- /dev/null
+++ b/bidir/tarpaulin-report.html
@@ -0,0 +1,660 @@
+<!doctype html>
+<html>
+<head>
+    <meta charset="utf-8">
+    <style>html, body {
+  margin: 0;
+  padding: 0;
+}
+
+.app {
+  margin: 10px;
+  padding: 0;
+}
+
+.files-list {
+  margin: 10px 0 0;
+  width: 100%;
+  border-collapse: collapse;
+}
+.files-list__head {
+  border: 1px solid #999;
+}
+.files-list__head > tr > th {
+  padding: 10px;
+  border: 1px solid #999;
+  text-align: left;
+  font-weight: normal;
+  background: #ddd;
+}
+.files-list__body {
+}
+.files-list__file {
+  cursor: pointer;
+}
+.files-list__file:hover {
+  background: #ccf;
+}
+.files-list__file > td {
+  padding: 10px;
+  border: 1px solid #999;
+}
+.files-list__file > td:first-child::before {
+  content: '\01F4C4';
+  margin-right: 1em;
+}
+.files-list__file_low {
+  background: #fcc;
+}
+.files-list__file_medium {
+  background: #ffc;
+}
+.files-list__file_high {
+  background: #cfc;
+}
+.files-list__file_folder > td:first-child::before {
+  content: '\01F4C1';
+  margin-right: 1em;
+}
+
+.file-header {
+  border: 1px solid #999;
+  display: flex;
+  justify-content: space-between;
+  align-items: center;
+}
+
+.file-header__back {
+  margin: 10px;
+  cursor: pointer;
+  flex-shrink: 0;
+  flex-grow: 0;
+  text-decoration: underline;
+  color: #338;
+}
+
+.file-header__name {
+  margin: 10px;
+  flex-shrink: 2;
+  flex-grow: 2;
+}
+
+.file-header__stat {
+  margin: 10px;
+  flex-shrink: 0;
+  flex-grow: 0;
+}
+
+.file-content {
+  margin: 10px 0 0;
+  border: 1px solid #999;
+  padding: 10px;
+}
+
+.code-line {
+  margin: 0;
+  padding: 0.3em;
+  height: 1em;
+}
+.code-line_covered {
+  background: #cfc;
+}
+.code-line_uncovered {
+  background: #fcc;
+}
+</style>
+</head>
+<body>
+    <div id="root"></div>
+    <script>
+        var data = {"files":[{"path":["/","Users","michael","Projects","school","csci8980-f23","bidir","src","bidir.rs"],"content":"use anyhow::{bail, Result};\n\nuse crate::{\n  data::{ctx_lookup_type, Context, ContextEntry, Term, Type},\n  gensym::gensym_prefix,\n};\n\n// Figure 8. Applying a context, as a substitution, to a type\n\npub fn app_ctx(ctx: \u0026Context, ty: \u0026Type) -\u003e Type {\n  match ty {\n    Type::Existential(_) =\u003e todo!(),\n    Type::Polytype(_, _) =\u003e todo!(),\n    Type::Arrow(a, b) =\u003e Type::Arrow(Box::new(app_ctx(ctx, a)), Box::new(app_ctx(ctx, b))),\n    _ =\u003e ty.clone(),\n  }\n}\n\n// Figure 9. Algorithmic subtyping\n\n/// Under input context Γ , type A is a subtype of B, with output context ∆\npub fn subtype(ctx: \u0026Context, a: \u0026Type, b: \u0026Type) -\u003e Result\u003cContext\u003e {\n  println!(\"subtype(ctx = {ctx:?}, a = {a:?}, b = {b:?})\");\n  match (a, b) {\n    // \u003c:Unit rule\n    (Type::Unit, Type::Unit) =\u003e Ok(ctx.clone()),\n\n    // \u003c:Var rule\n    (Type::Var(x), Type::Var(y)) if x == y =\u003e {\n      // Ensure that the name exists in the context\n      if !ctx.iter().any(|entry| match entry {\n        ContextEntry::ExistentialVar(z) if x == z =\u003e true,\n        _ =\u003e false,\n      }) {\n        bail!(\"name {x} not in context\");\n      }\n\n      Ok(ctx.clone())\n    }\n\n    (Type::Existential(_), Type::Unit) =\u003e todo!(),\n    (Type::Existential(_), Type::Var(_)) =\u003e todo!(),\n    (Type::Existential(_), Type::Existential(_)) =\u003e todo!(),\n    (Type::Existential(_), Type::Polytype(_, _)) =\u003e todo!(),\n    (Type::Existential(_), Type::Arrow(_, _)) =\u003e todo!(),\n    (Type::Polytype(_, _), Type::Unit) =\u003e todo!(),\n    (Type::Polytype(_, _), Type::Var(_)) =\u003e todo!(),\n    (Type::Polytype(_, _), Type::Existential(_)) =\u003e todo!(),\n    (Type::Polytype(_, _), Type::Polytype(_, _)) =\u003e todo!(),\n    (Type::Polytype(_, _), Type::Arrow(_, _)) =\u003e todo!(),\n    (Type::Arrow(_, _), Type::Unit) =\u003e todo!(),\n    (Type::Arrow(_, _), Type::Var(_)) =\u003e todo!(),\n    (Type::Arrow(_, _), Type::Existential(_)) =\u003e todo!(),\n    (Type::Arrow(_, _), Type::Polytype(_, _)) =\u003e todo!(),\n    (Type::Arrow(_, _), Type::Arrow(_, _)) =\u003e todo!(),\n\n    _ =\u003e bail!(\"subtyping relation failed\"),\n  }\n}\n\n// Figure 10. Instantiation\n\n// Figure 11. Algorithmic typing\n\npub fn typecheck(ctx: \u0026Context, term: \u0026Term, ty: \u0026Type) -\u003e Result\u003cContext\u003e {\n  println!(\"typecheck(ctx = {ctx:?}, term = {term:?}, ty = {ty:?})\");\n  match (term, ty) {\n    // 1I rule\n    (Term::Unit, Type::Unit) =\u003e Ok(ctx.clone()),\n\n    // ∀I rule\n    (e, Type::Polytype(x, tyA)) =\u003e todo!(),\n\n    // →I rule\n    (Term::Lam(x, e), Type::Arrow(ty_a, ty_b)) =\u003e {\n      let mut aug_ctx = ctx.clone();\n      todo!()\n    }\n\n    // Sub rule\n    (term, ty) =\u003e {\n      let (ty_a, ctx_theta) = synthesize(ctx, term)?;\n      let a = app_ctx(\u0026ctx_theta, \u0026ty_a);\n      let b = app_ctx(\u0026ctx_theta, ty);\n      let ctx_delta = subtype(\u0026ctx_theta, \u0026a, \u0026b)?;\n      Ok(ctx_delta)\n    }\n  }\n}\n\npub fn synthesize(ctx: \u0026Context, term: \u0026Term) -\u003e Result\u003c(Type, Context)\u003e {\n  println!(\"synthesize(ctx = {ctx:?}, term = {term:?}\");\n  match term {\n    // Var rule\n    Term::Var(name) =\u003e {\n      let ty = match ctx_lookup_type(ctx, name) {\n        Some(v) =\u003e v,\n        None =\u003e bail!(\"could not find name {name}\"),\n      };\n      Ok((ty, ctx.clone()))\n    }\n\n    // 1I⇒ rule\n    Term::Unit =\u003e Ok((Type::Unit, ctx.clone())),\n\n    // Anno rule\n    Term::Annot(_, _) =\u003e todo!(),\n\n    // →I⇒ rule\n    Term::Lam(x, e) =\u003e {\n      let mut aug_ctx = ctx.clone();\n      let ex_a = gensym_prefix(\"ex\");\n      let ex_b = gensym_prefix(\"ex\");\n      aug_ctx.push_back(ContextEntry::TypeVar(ex_a.clone()));\n      aug_ctx.push_back(ContextEntry::TypeVar(ex_b.clone()));\n      aug_ctx.push_back(ContextEntry::TermAnnot(x.clone(), Type::Var(ex_a.clone())));\n\n      let res = typecheck(\u0026aug_ctx, \u0026e, \u0026Type::Var(ex_b.clone()));\n      Ok((\n        Type::Arrow(\n          Box::new(Type::Existential(ex_a)),\n          Box::new(Type::Existential(ex_b)),\n        ),\n        ctx.clone(),\n      ))\n    }\n\n    // →E rule\n    Term::App(e1, e2) =\u003e {\n      let (tyA, out_ctx) = synthesize(ctx, e1)?;\n      todo!()\n    }\n  }\n}\n","traces":[{"line":10,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":11,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":14,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":15,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":22,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":23,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":24,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":26,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":29,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":31,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":32,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":33,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":35,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":38,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":57,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":65,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":66,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":67,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":69,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":75,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":76,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":81,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":82,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":83,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":84,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":85,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":86,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":91,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":92,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":93,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":95,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":96,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":97,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":98,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":100,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":104,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":110,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":111,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":112,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":113,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":114,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":115,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":116,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":118,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":119,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":120,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":121,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":122,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":124,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":129,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":130,"address":[],"length":0,"stats":{"Line":0},"fn_name":null}],"covered":36,"coverable":51},{"path":["/","Users","michael","Projects","school","csci8980-f23","bidir","src","data.rs"],"content":"use im::Vector;\n\n#[derive(Debug, Clone)]\npub enum Term {\n  Unit,\n  Var(String),\n  Lam(String, Box\u003cTerm\u003e),\n  App(Box\u003cTerm\u003e, Box\u003cTerm\u003e),\n  Annot(Box\u003cTerm\u003e, Type),\n}\n\n#[derive(Debug, Clone)]\npub enum Type {\n  Unit,\n  Var(String),\n  Existential(String),\n  Polytype(String, Box\u003cType\u003e),\n  Arrow(Box\u003cType\u003e, Box\u003cType\u003e),\n}\n\n#[derive(Debug, Clone)]\npub enum Monotype {\n  Unit,\n  Var(String),\n  Existential(String),\n  Arrow(Box\u003cMonotype\u003e, Box\u003cMonotype\u003e),\n}\n\npub type Context = Vector\u003cContextEntry\u003e;\n\n#[derive(Debug, Clone)]\npub enum ContextEntry {\n  TypeVar(String),\n  TermAnnot(String, Type),\n  ExistentialVar(String),\n  ExistentialSolved(String, Monotype),\n  Marker(String),\n}\n\n#[derive(Debug, Clone)]\npub enum CompleteContextEntry {\n  TypeVar(String),\n  TermAnnot(String, Type),\n  ExistentialSolved(String, Monotype),\n  Marker(String),\n}\n\npub fn ctx_lookup_type(ctx: \u0026Context, name: impl AsRef\u003cstr\u003e) -\u003e Option\u003cType\u003e {\n  ctx.iter().find_map(|entry| match entry {\n    ContextEntry::TermAnnot(n, t) if n == name.as_ref() =\u003e Some(t.clone()),\n    _ =\u003e None,\n  })\n}\n","traces":[{"line":48,"address":[],"length":0,"stats":{"Line":1},"fn_name":null},{"line":49,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":50,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":51,"address":[],"length":0,"stats":{"Line":2},"fn_name":null}],"covered":4,"coverable":4},{"path":["/","Users","michael","Projects","school","csci8980-f23","bidir","src","gensym.rs"],"content":"use lazy_static::lazy_static;\nuse parking_lot::Mutex;\n\nlazy_static! {\n  static ref CTR: Mutex\u003cusize\u003e = Mutex::new(0);\n}\n\npub fn gensym() -\u003e String {\n  gensym_prefix(\"var\")\n}\n\npub fn gensym_prefix(prefix: impl AsRef\u003cstr\u003e) -\u003e String {\n  let mut g = CTR.lock();\n  let ctr = *g;\n  *g += 1;\n  drop(g);\n  format!(\"{}{}\", prefix.as_ref(), ctr)\n}\n","traces":[{"line":8,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":9,"address":[],"length":0,"stats":{"Line":0},"fn_name":null},{"line":12,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":13,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":14,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":15,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":16,"address":[],"length":0,"stats":{"Line":2},"fn_name":null},{"line":17,"address":[],"length":0,"stats":{"Line":2},"fn_name":null}],"covered":6,"coverable":8},{"path":["/","Users","michael","Projects","school","csci8980-f23","bidir","src","lib.rs"],"content":"mod bidir;\nmod data;\n\nmod gensym;\n#[cfg(test)]\nmod tests;\n","traces":[],"covered":0,"coverable":0},{"path":["/","Users","michael","Projects","school","csci8980-f23","bidir","src","tests.rs"],"content":"use anyhow::{bail, Result};\nuse im::Vector;\n\nuse crate::{bidir::synthesize, data::Term};\n\n#[test]\nfn test_id() -\u003e Result\u003c()\u003e {\n  let id = Term::Lam(\"x\".to_owned(), Box::new(Term::Var(\"x\".to_owned())));\n  let ctx = Vector::new();\n  let (ty, out_ctx) = synthesize(\u0026ctx, \u0026id)?;\n  //   bail!(\"Output: {ty:?} in context {out_ctx:?}\");\n  Ok(())\n}\n","traces":[],"covered":0,"coverable":0}]};
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+b,b.pendingProps.children,c),b.child;case 12:return T(a,b,b.pendingProps.children,c),b.child;case 10:a:{d=b.type._context;e=b.pendingProps;g=b.memoizedProps;f=e.value;var h=b.type._context;y(Ic,h._currentValue);h._currentValue=f;if(null!==g)if(h=g.value,f=Qa(h,f)?0:("function"===typeof d._calculateChangedBits?d._calculateChangedBits(h,f):1073741823)|0,0===f){if(g.children===e.children&&!G.current){b=sa(a,b,c);break a}}else for(h=b.child,null!==h&&(h.return=b);null!==h;){var m=h.dependencies;if(null!==
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+g}T(a,b,e.children,c);b=b.child}return b;case 9:return e=b.type,f=b.pendingProps,d=f.children,rb(b,c),e=W(e,f.unstable_observedBits),d=d(e),b.effectTag|=1,T(a,b,d,c),b.child;case 14:return e=b.type,f=aa(e,b.pendingProps),f=aa(e.type,f),oh(a,b,e,f,d,c);case 15:return ph(a,b,b.type,b.pendingProps,d,c);case 17:return d=b.type,e=b.pendingProps,e=b.elementType===d?e:aa(d,e),null!==a&&(a.alternate=null,b.alternate=null,b.effectTag|=2),b.tag=1,N(d)?(a=!0,Bc(b)):a=!1,rb(b,c),Yg(b,d,e),pe(b,d,e,c),Ie(null,
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+try{return Da(98,a.bind(null,b,c,d,e))}finally{p=f,p===H&&ha()}},function(){(p&(1|ca|ma))===H&&(uj(),xb())},function(a,b){var c=p;p|=2;try{return a(b)}finally{p=c,p===H&&ha()}});var mk={Events:[Hb,Pa,ae,pf,qd,lb,function(a){Kd(a,Ki)},sf,tf,sc,pc,xb,{current:!1}]};(function(a){var b=a.findFiberByHostInstance;return Ej(M({},a,{overrideHookState:null,overrideProps:null,setSuspenseHandler:null,scheduleUpdate:null,currentDispatcherRef:da.ReactCurrentDispatcher,findHostInstanceByFiber:function(a){a=Sf(a);
+return null===a?null:a.stateNode},findFiberByHostInstance:function(a){return b?b(a):null},findHostInstancesForRefresh:null,scheduleRefresh:null,scheduleRoot:null,setRefreshHandler:null,getCurrentFiber:null}))})({findFiberByHostInstance:Bb,bundleType:0,version:"16.13.1",rendererPackageName:"react-dom"});I.__SECRET_INTERNALS_DO_NOT_USE_OR_YOU_WILL_BE_FIRED=mk;I.createPortal=Xh;I.findDOMNode=function(a){if(null==a)return null;if(1===a.nodeType)return a;var b=a._reactInternalFiber;if(void 0===
+b){if("function"===typeof a.render)throw Error(k(188));throw Error(k(268,Object.keys(a)));}a=Sf(b);a=null===a?null:a.stateNode;return a};I.flushSync=function(a,b){if((p&(ca|ma))!==H)throw Error(k(187));var c=p;p|=1;try{return Da(99,a.bind(null,b))}finally{p=c,ha()}};I.hydrate=function(a,b,c){if(!bc(b))throw Error(k(200));return nd(null,a,b,!0,c)};I.render=function(a,b,c){if(!bc(b))throw Error(k(200));return nd(null,a,b,!1,c)};I.unmountComponentAtNode=function(a){if(!bc(a))throw Error(k(40));return a._reactRootContainer?
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+</script>
+    <script>const e = React.createElement;
+
+function pathToString(path) {
+  if (path[0] === '/') {
+    return '/' + path.slice(1).join('/');
+  } else {
+    return path.join('/');
+  }
+}
+
+function findCommonPath(files) {
+  if (!files || !files.length) {
+    return [];
+  }
+
+  function isPrefix(arr, prefix) {
+    if (arr.length < prefix.length) {
+      return false;
+    }
+    for (let i = prefix.length - 1; i >= 0; --i) {
+      if (arr[i] !== prefix[i]) {
+        return false;
+      }
+    }
+    return true;
+  }
+
+  let commonPath = files[0].path.slice(0, -1);
+  while (commonPath.length) {
+    if (files.every(file => isPrefix(file.path, commonPath))) {
+      break;
+    }
+    commonPath.pop();
+  }
+  return commonPath;
+}
+
+function findFolders(files) {
+  if (!files || !files.length) {
+    return [];
+  }
+
+  let folders = files.filter(file => file.path.length > 1).map(file => file.path[0]);
+  folders = [...new Set(folders)]; // unique
+  folders.sort();
+
+  folders = folders.map(folder => {
+    let filesInFolder = files
+      .filter(file => file.path[0] === folder)
+      .map(file => ({
+        ...file,
+        path: file.path.slice(1),
+        parent: [...file.parent, file.path[0]],
+      }));
+
+    const children = findFolders(filesInFolder); // recursion
+
+    return {
+      is_folder: true,
+      path: [folder],
+      parent: files[0].parent,
+      children,
+      covered: children.reduce((sum, file) => sum + file.covered, 0),
+      coverable: children.reduce((sum, file) => sum + file.coverable, 0),
+      prevRun: {
+        covered: children.reduce((sum, file) => sum + file.prevRun.covered, 0),
+        coverable: children.reduce((sum, file) => sum + file.prevRun.coverable, 0),
+      }
+    };
+  });
+
+  return [
+    ...folders,
+    ...files.filter(file => file.path.length === 1),
+  ];
+}
+
+class App extends React.Component {
+  constructor(...args) {
+    super(...args);
+
+    this.state = {
+      current: [],
+    };
+  }
+
+  componentDidMount() {
+    this.updateStateFromLocation();
+    window.addEventListener("hashchange", () => this.updateStateFromLocation(), false);
+  }
+
+  updateStateFromLocation() {
+    if (window.location.hash.length > 1) {
+      const current = window.location.hash.substr(1).split('/');
+      this.setState({current});
+    } else {
+      this.setState({current: []});
+    }
+  }
+
+  getCurrentPath() {
+    let file = this.props.root;
+    let path = [file];
+    for (let p of this.state.current) {
+      file = file.children.find(file => file.path[0] === p);
+      if (!file) {
+        return path;
+      }
+      path.push(file);
+    }
+    return path;
+  }
+
+  render() {
+    const path = this.getCurrentPath();
+    const file = path[path.length - 1];
+
+    let w = null;
+    if (file.is_folder) {
+      w = e(FilesList, {
+        folder: file,
+        onSelectFile: this.selectFile.bind(this),
+        onBack: path.length > 1 ? this.back.bind(this) : null,
+      });
+    } else {
+      w = e(DisplayFile, {
+        file,
+        onBack: this.back.bind(this),
+      });
+    }
+
+    return e('div', {className: 'app'}, w);
+  }
+
+  selectFile(file) {
+    this.setState(({current}) => {
+      return {current: [...current, file.path[0]]};
+    }, () => this.updateHash());
+  }
+
+  back(file) {
+    this.setState(({current}) => {
+      return {current: current.slice(0, current.length - 1)};
+    }, () => this.updateHash());
+  }
+
+  updateHash() {
+    if (!this.state.current || !this.state.current.length) {
+      window.location = '#';
+    } else {
+      window.location = '#' + this.state.current.join('/');
+    }
+  }
+}
+
+function FilesList({folder, onSelectFile, onBack}) {
+  let files = folder.children;
+  return e('div', {className: 'display-folder'},
+    e(FileHeader, {file: folder, onBack}),
+    e('table', {className: 'files-list'},
+      e('thead', {className: 'files-list__head'},
+        e('tr', null,
+          e('th', null, "Path"),
+          e('th', null, "Coverage")
+        )
+      ),
+      e('tbody', {className: 'files-list__body'},
+        files.map(file => e(File, {file, onClick: onSelectFile}))
+      )
+    )
+  );
+}
+
+function File({file, onClick}) {
+  const coverage = file.coverable ? file.covered / file.coverable * 100 : -1;
+  const coverageDelta = file.prevRun &&
+    (file.covered / file.coverable * 100 - file.prevRun.covered / file.prevRun.coverable * 100);
+
+  return e('tr', {
+      className: 'files-list__file'
+        + (coverage >= 0 && coverage < 50 ? ' files-list__file_low': '')
+        + (coverage >= 50 && coverage < 80 ? ' files-list__file_medium': '')
+        + (coverage >= 80 ? ' files-list__file_high': '')
+        + (file.is_folder ? ' files-list__file_folder': ''),
+      onClick: () => onClick(file),
+    },
+    e('td', null, e('a', null, pathToString(file.path))),
+    e('td', null,
+      file.covered + ' / ' + file.coverable +
+      (coverage >= 0 ? ' (' + coverage.toFixed(2) + '%)' : ''),
+      e('span', {title: 'Change from the previous run'},
+        (coverageDelta ? ` (${coverageDelta > 0 ? '+' : ''}${coverageDelta.toFixed(2)}%)` : ''))
+    )
+  );
+}
+
+function DisplayFile({file, onBack}) {
+  return e('div', {className: 'display-file'},
+    e(FileHeader, {file, onBack}),
+    e(FileContent, {file})
+  );
+}
+
+function FileHeader({file, onBack}) {
+  const coverage = file.covered / file.coverable * 100;
+  const coverageDelta = file.prevRun && (coverage - file.prevRun.covered / file.prevRun.coverable * 100);
+
+  return e('div', {className: 'file-header'},
+    onBack ? e('a', {className: 'file-header__back', onClick: onBack}, 'Back') : null,
+    e('div', {className: 'file-header__name'}, pathToString([...file.parent, ...file.path])),
+    e('div', {className: 'file-header__stat'},
+      'Covered: ' + file.covered + ' of ' + file.coverable +
+      (file.coverable ? ' (' + coverage.toFixed(2) + '%)' : ''),
+      e('span', {title: 'Change from the previous run'},
+        (coverageDelta ? ` (${coverageDelta > 0 ? '+' : ''}${coverageDelta.toFixed(2)}%)` : ''))
+    )
+  );
+}
+
+function FileContent({file}) {
+  return e('div', {className: 'file-content'},
+    file.content.split(/\r?\n/).map((line, index) => {
+      const trace = file.traces.find(trace => trace.line === index + 1);
+      const covered = trace && trace.stats.Line;
+      const uncovered = trace && !trace.stats.Line;
+      return e('pre', {
+          className: 'code-line'
+            + (covered ? ' code-line_covered' : '')
+            + (uncovered ? ' code-line_uncovered' : ''),
+          title: trace ? JSON.stringify(trace.stats, null, 2) : null,
+        }, line);
+    })
+  );
+}
+
+(function(){
+  const commonPath = findCommonPath(data.files);
+  const prevFilesMap = new Map();
+
+  previousData && previousData.files.forEach((file) => {
+    const path = file.path.slice(commonPath.length).join('/');
+    prevFilesMap.set(path, file);
+  });
+
+  const files = data.files.map((file) => {
+    const path = file.path.slice(commonPath.length);
+    const { covered = 0, coverable = 0 } = prevFilesMap.get(path.join('/')) || {};
+    return {
+      ...file,
+      path,
+      parent: commonPath,
+      prevRun: { covered, coverable },
+    };
+  });
+
+  const children = findFolders(files);
+
+  const root = {
+    is_folder: true,
+    children,
+    path: commonPath,
+    parent: [],
+    covered: children.reduce((sum, file) => sum + file.covered, 0),
+    coverable: children.reduce((sum, file) => sum + file.coverable, 0),
+    prevRun: {
+      covered: children.reduce((sum, file) => sum + file.prevRun.covered, 0),
+      coverable: children.reduce((sum, file) => sum + file.prevRun.coverable, 0),
+    }
+  };
+
+  ReactDOM.render(e(App, {root, prevFilesMap}), document.getElementById('root'));
+}());
+</script>
+</body>
+</html>
\ No newline at end of file
diff --git a/rustfmt.toml b/rustfmt.toml
new file mode 100644
index 0000000..b196eaa
--- /dev/null
+++ b/rustfmt.toml
@@ -0,0 +1 @@
+tab_spaces = 2