id of unit

This commit is contained in:
Michael Zhang 2023-11-07 01:33:59 -06:00
parent 3c8e43d02d
commit d20044501b
6 changed files with 394 additions and 37 deletions

287
Cargo.lock generated
View file

@ -38,12 +38,16 @@ version = "0.1.0"
dependencies = [
"anyhow",
"dashmap",
"env_logger",
"im",
"lalrpop",
"lalrpop-util",
"lazy_static",
"rustyline",
"test-log",
"trace",
"tracing",
"tracing-subscriber",
]
[[package]]
@ -118,6 +122,15 @@ dependencies = [
"parking_lot_core",
]
[[package]]
name = "deranged"
version = "0.3.9"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "0f32d04922c60427da6f9fef14d042d9edddef64cb9d4ce0d64d0685fbeb1fd3"
dependencies = [
"powerfmt",
]
[[package]]
name = "diff"
version = "0.1.13"
@ -166,6 +179,19 @@ version = "0.1.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "c34f04666d835ff5d62e058c3995147c06f42fe86ff053337632bca83e42702d"
[[package]]
name = "env_logger"
version = "0.10.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "85cdab6a89accf66733ad5a1693a4dcced6aeff64602b634530dd73c1f3ee9f0"
dependencies = [
"humantime",
"is-terminal",
"log",
"regex",
"termcolor",
]
[[package]]
name = "equivalent"
version = "1.0.1"
@ -241,6 +267,12 @@ dependencies = [
"windows-sys",
]
[[package]]
name = "humantime"
version = "2.1.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "9a3a5bfb195931eeb336b2a7b4d761daec841b97f947d34394601737a7bba5e4"
[[package]]
name = "im"
version = "15.1.0"
@ -285,6 +317,12 @@ dependencies = [
"either",
]
[[package]]
name = "itoa"
version = "1.0.9"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "af150ab688ff2122fcef229be89cb50dd66af9e01a4ff320cc137eecc9bacc38"
[[package]]
name = "lalrpop"
version = "0.20.0"
@ -362,6 +400,15 @@ version = "0.4.20"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "b5e6163cb8c49088c2c36f57875e58ccd8c87c7427f7fbd50ea6710b2f3f2e8f"
[[package]]
name = "matchers"
version = "0.1.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "8263075bb86c5a1b1427b5ae862e8889656f126e9f77c484496e8b47cf5c5558"
dependencies = [
"regex-automata 0.1.10",
]
[[package]]
name = "memchr"
version = "2.6.4"
@ -394,12 +441,28 @@ dependencies = [
"libc",
]
[[package]]
name = "nu-ansi-term"
version = "0.46.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "77a8165726e8236064dbb45459242600304b42a5ea24ee2948e18e023bf7ba84"
dependencies = [
"overload",
"winapi",
]
[[package]]
name = "once_cell"
version = "1.18.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "dd8b5dd2ae5ed71462c540258bedcb51965123ad7e7ccf4b9a8cafaa4a63576d"
[[package]]
name = "overload"
version = "0.1.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "b15813163c1d831bf4a13c3610c05c0d03b39feb07f7e09fa234dac9b15aaf39"
[[package]]
name = "parking_lot"
version = "0.12.1"
@ -448,6 +511,18 @@ version = "0.5.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "5be167a7af36ee22fe3115051bc51f6e6c7054c9348e28deb4f49bd6f705a315"
[[package]]
name = "pin-project-lite"
version = "0.2.13"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "8afb450f006bf6385ca15ef45d71d2288452bc3683ce2e2cacc0d18e4be60b58"
[[package]]
name = "powerfmt"
version = "0.2.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "439ee305def115ba05938db6eb1644ff94165c5ab5e9420d1c1bcedbba909391"
[[package]]
name = "precomputed-hash"
version = "0.1.1"
@ -525,10 +600,19 @@ checksum = "380b951a9c5e80ddfd6136919eef32310721aa4aacd4889a8d39124b026ab343"
dependencies = [
"aho-corasick",
"memchr",
"regex-automata",
"regex-automata 0.4.3",
"regex-syntax 0.8.2",
]
[[package]]
name = "regex-automata"
version = "0.1.10"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "6c230d73fb8d8c1b9c0b3135c5142a8acee3a0558fb8db5cf1cb65f8d7862132"
dependencies = [
"regex-syntax 0.6.29",
]
[[package]]
name = "regex-automata"
version = "0.4.3"
@ -540,6 +624,12 @@ dependencies = [
"regex-syntax 0.8.2",
]
[[package]]
name = "regex-syntax"
version = "0.6.29"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f162c6dd7b008981e4d40210aca20b4bd0f9b60ca9271061b07f78537722f2e1"
[[package]]
name = "regex-syntax"
version = "0.7.5"
@ -594,12 +684,58 @@ dependencies = [
"winapi",
]
[[package]]
name = "ryu"
version = "1.0.15"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "1ad4cc8da4ef723ed60bced201181d83791ad433213d8c24efffda1eec85d741"
[[package]]
name = "scopeguard"
version = "1.2.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "94143f37725109f92c262ed2cf5e59bce7498c01bcc1502d7b9afe439a4e9f49"
[[package]]
name = "serde"
version = "1.0.192"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "bca2a08484b285dcb282d0f67b26cadc0df8b19f8c12502c13d966bf9482f001"
dependencies = [
"serde_derive",
]
[[package]]
name = "serde_derive"
version = "1.0.192"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "d6c7207fbec9faa48073f3e3074cbe553af6ea512d7c21ba46e434e70ea9fbc1"
dependencies = [
"proc-macro2",
"quote",
"syn 2.0.38",
]
[[package]]
name = "serde_json"
version = "1.0.108"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "3d1c7e3eac408d115102c4c24ad393e0821bb3a5df4d506a80f85f7a742a526b"
dependencies = [
"itoa",
"ryu",
"serde",
]
[[package]]
name = "sharded-slab"
version = "0.1.7"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f40ca3c46823713e0d4209592e8d6e826aa57e928f09752619fc696c499637f6"
dependencies = [
"lazy_static",
]
[[package]]
name = "siphasher"
version = "0.3.11"
@ -674,6 +810,26 @@ dependencies = [
"winapi",
]
[[package]]
name = "termcolor"
version = "1.3.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "6093bad37da69aab9d123a8091e4be0aa4a03e4d601ec641c327398315f62b64"
dependencies = [
"winapi-util",
]
[[package]]
name = "test-log"
version = "0.2.13"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f66edd6b6cd810743c0c71e1d085e92b01ce6a72782032e3f794c8284fe4bcdd"
dependencies = [
"proc-macro2",
"quote",
"syn 2.0.38",
]
[[package]]
name = "thiserror"
version = "1.0.50"
@ -694,6 +850,45 @@ dependencies = [
"syn 2.0.38",
]
[[package]]
name = "thread_local"
version = "1.1.7"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "3fdd6f064ccff2d6567adcb3873ca630700f00b5ad3f060c25b5dcfd9a4ce152"
dependencies = [
"cfg-if",
"once_cell",
]
[[package]]
name = "time"
version = "0.3.30"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "c4a34ab300f2dee6e562c10a046fc05e358b29f9bf92277f30c3c8d82275f6f5"
dependencies = [
"deranged",
"itoa",
"powerfmt",
"serde",
"time-core",
"time-macros",
]
[[package]]
name = "time-core"
version = "0.1.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ef927ca75afb808a4d64dd374f00a2adf8d0fcff8e7b184af886c3c87ec4a3f3"
[[package]]
name = "time-macros"
version = "0.2.15"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "4ad70d68dba9e1f8aceda7aa6711965dfec1cac869f311a51bd08b3a2ccbce20"
dependencies = [
"time-core",
]
[[package]]
name = "tiny-keccak"
version = "2.0.2"
@ -714,6 +909,81 @@ dependencies = [
"syn 1.0.109",
]
[[package]]
name = "tracing"
version = "0.1.40"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "c3523ab5a71916ccf420eebdf5521fcef02141234bbc0b8a49f2fdc4544364ef"
dependencies = [
"pin-project-lite",
"tracing-attributes",
"tracing-core",
]
[[package]]
name = "tracing-attributes"
version = "0.1.27"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "34704c8d6ebcbc939824180af020566b01a7c01f80641264eba0999f6c2b6be7"
dependencies = [
"proc-macro2",
"quote",
"syn 2.0.38",
]
[[package]]
name = "tracing-core"
version = "0.1.32"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "c06d3da6113f116aaee68e4d601191614c9053067f9ab7f6edbcb161237daa54"
dependencies = [
"once_cell",
"valuable",
]
[[package]]
name = "tracing-log"
version = "0.1.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f751112709b4e791d8ce53e32c4ed2d353565a795ce84da2285393f41557bdf2"
dependencies = [
"log",
"once_cell",
"tracing-core",
]
[[package]]
name = "tracing-serde"
version = "0.1.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "bc6b213177105856957181934e4920de57730fc69bf42c37ee5bb664d406d9e1"
dependencies = [
"serde",
"tracing-core",
]
[[package]]
name = "tracing-subscriber"
version = "0.3.17"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "30a651bc37f915e81f087d86e62a18eec5f79550c7faff886f7090b4ea757c77"
dependencies = [
"matchers",
"nu-ansi-term",
"once_cell",
"regex",
"serde",
"serde_json",
"sharded-slab",
"smallvec",
"thread_local",
"time",
"tracing",
"tracing-core",
"tracing-log",
"tracing-serde",
]
[[package]]
name = "typenum"
version = "1.17.0"
@ -750,6 +1020,12 @@ version = "0.2.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "711b9620af191e0cdc7468a8d14e709c3dcdb115b36f838e601583af800a370a"
[[package]]
name = "valuable"
version = "0.1.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "830b7e5d4d90034032940e4ace0d9a9a057e7a45cd94e6c007832e39edb82f6d"
[[package]]
name = "version_check"
version = "0.9.4"
@ -778,6 +1054,15 @@ version = "0.4.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ac3b87c63620426dd9b991e5ce0329eff545bccbbb34f3be09ff6fb6ab51b7b6"
[[package]]
name = "winapi-util"
version = "0.1.6"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f29e6f9198ba0d26b4c9f07dbe6f9ed633e1f3d5b8b414090084349e46a52596"
dependencies = [
"winapi",
]
[[package]]
name = "winapi-x86_64-pc-windows-gnu"
version = "0.4.0"

View file

@ -8,11 +8,17 @@ edition = "2021"
[dependencies]
anyhow = "1.0.75"
dashmap = "5.5.3"
env_logger = "0.10.0"
im = "15.1.0"
lalrpop-util = { version = "0.20.0", features = ["lexer", "regex", "unicode"] }
lazy_static = "1.4.0"
rustyline = "12.0.0"
trace = "0.1.7"
tracing = "0.1.40"
tracing-subscriber = { version = "0.3.17", features = ["env-filter", "json", "regex", "serde", "time", "tracing"] }
[build-dependencies]
lalrpop = "0.20.0"
[dev-dependencies]
test-log = { version = "0.2.13", features = ["trace"] }

View file

@ -1,14 +1,16 @@
use anyhow::{bail, Result};
use crate::DEPTH;
use crate::data::{Context, ContextEntry, FreeVar, Monotype, Term, Type};
use crate::gensym::gensym_existential;
// Figure 8. Applying a context, as a substitution, to a type
#[instrument]
pub fn app_ctx(ctx: &Context, ty: &Type) -> Result<Type> {
match ty {
Type::Unit => Ok(Type::Unit),
Type::Var(s) => Ok(Type::Var(s.clone())),
Type::Existential(a) => match ctx.lookup_existential(a) {
Some((_, Some(m))) => Ok(m.into_poly()),
Some((_, None)) => Ok(Type::Existential(a.clone())),
@ -21,14 +23,13 @@ pub fn app_ctx(ctx: &Context, ty: &Type) -> Result<Type> {
Box::new(app_ctx(ctx, a)?),
Box::new(app_ctx(ctx, b)?),
)),
_ => todo!("shiiet ctx = {ctx:?}, ty = {ty:?}"),
}
}
// Figure 9. Algorithmic subtyping
/// Under input context Γ , type A is a subtype of B, with output context ∆
#[trace]
#[instrument]
pub fn subtype(ctx: &Context, left: &Type, right: &Type) -> Result<Context> {
match (left, right) {
// <:Unit rule
@ -44,8 +45,9 @@ pub fn subtype(ctx: &Context, left: &Type, right: &Type) -> Result<Context> {
Ok(ctx.clone())
}
// <:InstantiateL
(Type::Existential(a), ty_a)
if !right
if !ty_a
.free_vars()
.contains(&FreeVar::Existential(a.to_string()))
&& ctx.lookup_existential(a).is_some() =>
@ -53,6 +55,18 @@ pub fn subtype(ctx: &Context, left: &Type, right: &Type) -> Result<Context> {
let ctx_delta = instantiate_left(ctx, a, ty_a)?;
Ok(ctx_delta)
}
// <:InstantiateR
(ty_a, Type::Existential(a))
if !ty_a
.free_vars()
.contains(&FreeVar::Existential(a.to_string()))
&& ctx.lookup_existential(a).is_some() =>
{
let ctx_delta = instantiate_right(ctx, ty_a, a)?;
Ok(ctx_delta)
}
(Type::Existential(_), Type::Unit) => todo!(),
(Type::Existential(_), Type::Var(_)) => todo!(),
(Type::Existential(_), Type::Polytype(_, _)) => todo!(),
@ -74,7 +88,6 @@ pub fn subtype(ctx: &Context, left: &Type, right: &Type) -> Result<Context> {
// Figure 10. Instantiation
#[trace]
pub fn instantiate_left(ctx: &Context, a: &str, ty_a: &Type) -> Result<Context> {
match ty_a {
// InstLReach rule
@ -103,9 +116,36 @@ pub fn instantiate_left(ctx: &Context, a: &str, ty_a: &Type) -> Result<Context>
}
}
pub fn instantiate_right(ctx: &Context, ty_a: &Type, a: &str) -> Result<Context> {
match ty_a {
ty_a if ty_a.is_mono() && ctx.has_existential(a) => {
let (before, after) = ctx
.split_by(|entry| match entry {
ContextEntry::ExistentialVar(n) if n == a => true,
_ => false,
})
.unwrap();
let ty_a_mono = ty_a.into_mono().unwrap();
Ok(Context::unsplit(
&before,
ContextEntry::ExistentialSolved(a.to_owned(), ty_a_mono),
&after,
))
}
Type::Unit => todo!(),
Type::Var(_) => todo!(),
Type::Existential(_) => todo!(),
Type::Polytype(_, _) => todo!(),
Type::Arrow(_, _) => todo!(),
}
}
// Figure 11. Algorithmic typing
#[trace]
#[instrument]
pub fn typecheck(ctx: &Context, term: &Term, ty: &Type) -> Result<Context> {
match (term, ty) {
// 1I rule
@ -131,7 +171,7 @@ pub fn typecheck(ctx: &Context, term: &Term, ty: &Type) -> Result<Context> {
}
}
#[trace]
#[instrument]
pub fn synthesize(ctx: &Context, term: &Term) -> Result<(Type, Context)> {
match term {
// Var rule
@ -158,7 +198,7 @@ pub fn synthesize(ctx: &Context, term: &Term) -> Result<(Type, Context)> {
let ex_a_s = gensym_existential();
let ex_b_s = gensym_existential();
let ex_gen = format!("{}->", ex_a_s);
let ex_gen = format!("{}", ex_a_s);
let ex_a = Type::Existential(ex_a_s.clone());
let ex_b = Type::Existential(ex_b_s.clone());
@ -171,29 +211,23 @@ pub fn synthesize(ctx: &Context, term: &Term) -> Result<(Type, Context)> {
]);
let wtf_ctx = typecheck(&aug_ctx, &e, &ex_b)?;
println!("WTF CTX {wtf_ctx:?}");
info!("WTF CTX {wtf_ctx:?}");
// Split back out at the marker
let (before_marker, after_marker) = {
let marker_idx = wtf_ctx
.0
.iter()
.position(|entry| match entry {
ContextEntry::Marker(m) if *m == ex_a_s => true,
_ => false,
})
.unwrap();
// println!("Marker index: {marker_idx}");
wtf_ctx.0.clone().split_at(marker_idx)
};
let before_marker = Context(before_marker);
let after_marker = Context(after_marker);
let (before_marker, after_marker) = wtf_ctx
.split_by(|entry| match entry {
ContextEntry::Marker(m) if *m == ex_a_s => true,
_ => false,
})
.unwrap();
info!("Unsolved: {:?}", after_marker.unsolved_existentials());
let mut tau = app_ctx(&after_marker, &Type::Arrow(Box::new(ex_a), Box::new(ex_b)))?;
for name in after_marker.unsolved_existentials() {
tau = tau.subst(name, &Type::Var(ex_gen.clone()));
warn!("substituting {tau:?} looking for {name}");
tau = tau.subst(&name, &Type::Var(ex_gen.clone()));
}
info!("ex_gen = {ex_gen}, tau = {tau:?}");
Ok((Type::Polytype(ex_gen, Box::new(tau)), before_marker))
}
@ -230,17 +264,25 @@ pub fn synthesize(ctx: &Context, term: &Term) -> Result<(Type, Context)> {
}
}
#[trace]
#[instrument]
pub fn app_synthesize(ctx: &Context, fun_ty: &Type, term: &Term) -> Result<(Type, Context)> {
match (fun_ty, term) {
// →App rule
(Type::Arrow(ty_a, ty_c), e) => {
info!("→App rule");
typecheck(ctx, e, ty_a)?;
Ok((*ty_c.clone(), ctx.clone()))
}
// ∀App rule
(Type::Polytype(_, _), _) => todo!(),
(Type::Polytype(a, ty_a), e) => {
let ex_s = gensym_existential();
let ex = ContextEntry::ExistentialVar(ex_s.clone());
let aug_ctx = ctx.add(vec![ex.clone()]);
let aug_ty = ty_a.subst(&a, &Type::Existential(ex_s));
app_synthesize(&aug_ctx, &aug_ty, e)
}
// âApp rule
(Type::Existential(_), _) => todo!(),

View file

@ -15,7 +15,7 @@ impl fmt::Debug for Term {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
match self {
Self::Unit => write!(f, "unit"),
Self::Var(arg0) => write!(f, "`{}", arg0),
Self::Var(arg0) => write!(f, "{}", arg0),
Self::Lam(arg0, arg1) => write!(f, "(λ{}.{:?})", arg0, arg1),
Self::App(arg0, arg1) => write!(f, "({:?} · {:?})", arg0, arg1),
Self::Annot(arg0, arg1) => write!(f, "({:?} : {:?})", arg0, arg1),
@ -94,12 +94,12 @@ impl Type {
free_vars_with_context(&Context::default(), self)
}
pub fn subst(&self, var: impl AsRef<str>, replacement: &Type) -> Type {
let var = var.as_ref();
pub fn subst(&self, var: &str, replacement: &Type) -> Type {
match self {
Type::Unit => Type::Unit,
Type::Var(n) if n == var => replacement.clone(),
Type::Var(n) => Type::Var(n.clone()),
Type::Existential(s) if s == var => replacement.clone(),
Type::Existential(s) => Type::Existential(s.clone()),
Type::Polytype(a, t) => Type::Polytype(a.clone(), Box::new(t.subst(var, replacement))),
Type::Arrow(a, b) => Type::Arrow(
@ -122,7 +122,7 @@ impl fmt::Debug for Monotype {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
match self {
Self::Unit => write!(f, "𝟙"),
Self::Var(arg0) => write!(f, "`{}", arg0),
Self::Var(arg0) => write!(f, "{}", arg0),
Self::Existential(arg0) => write!(f, "{}", arg0),
Self::Arrow(arg0, arg1) => write!(f, "({arg0:?} -> {arg1:?})"),
}
@ -152,9 +152,9 @@ pub enum ContextEntry {
impl fmt::Debug for ContextEntry {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
match self {
Self::TypeVar(arg0) => write!(f, "`{}", arg0),
Self::TypeVar(arg0) => write!(f, "{}", arg0),
Self::TermAnnot(arg0, arg1) => write!(f, "{} : {:?}", arg0, arg1),
Self::ExistentialVar(arg0) => write!(f, "`{}", arg0),
Self::ExistentialVar(arg0) => write!(f, "{}", arg0),
Self::ExistentialSolved(arg0, arg1) => write!(f, "{} = {:?}", arg0, arg1),
Self::Marker(arg0) => write!(f, "▶{}", arg0),
}
@ -230,6 +230,7 @@ impl Context {
self.lookup_existential(name).is_some()
}
/// Returns a list of names of unsolved existentials
pub fn unsolved_existentials(&self) -> HashSet<String> {
let mut unsolved = HashSet::new();
@ -244,4 +245,24 @@ impl Context {
unsolved
}
/// Returns (before, after)
pub fn split_by<P>(&self, p: P) -> Option<(Context, Context)>
where
P: Fn(&ContextEntry) -> bool,
{
let (before, after) = {
let idx = self.0.iter().position(p)?;
self.0.clone().split_at(idx)
};
Some((Context(before), Context(after)))
}
pub fn unsplit(left: &Context, center: ContextEntry, right: &Context) -> Context {
let mut res = left.clone();
res.0.push_back(center);
res.0.extend(right.0.clone().into_iter());
res
}
}

View file

@ -1,5 +1,7 @@
#[macro_use]
extern crate trace;
#[macro_use]
extern crate tracing;
use lalrpop_util::lalrpop_mod;

View file

@ -16,7 +16,7 @@ fn test_id() -> Result<()> {
let id = id_term!();
let ctx = Context::default();
let (ty, out_ctx) = synthesize(&ctx, &id)?;
println!("Synthesis result: {ty:?} | {out_ctx:?}");
bail!("Synthesized: {:?} (context = {:?})", ty, out_ctx);
Ok(())
}
@ -27,6 +27,7 @@ fn test_id_of_unit() -> Result<()> {
let id_of_unit = Term::App(Box::new(id), Box::new(Term::Unit));
let ctx = Context::default();
bail!("Result: {:?}", synthesize(&ctx, &id_of_unit));
let (ty, out_ctx) = synthesize(&ctx, &id_of_unit)?;
bail!("Synthesized: {:?} (context = {:?})", ty, out_ctx);
Ok(())
}