Tricu 2.0.0

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# View Contract Syntax Design
## 1. Purpose
This document specifies source-level syntax sugar for emitting View Contract
metadata from annotated `tricu` definitions.
The syntax is frontend sugar. It lowers to ordinary typed-program nodes consumed
by the portable checker in `lib/view.tri` and catalog helpers in
`lib/views/catalog.tri`.
The checker remains independent of source syntax.
## 2. Definition Annotations
A definition may carry argument and return view annotations directly in its head.
```tri
name arg1@Type1 arg2@Type2 =@ReturnType body
```
This declares:
```text
name : Fn [Type1 Type2] ReturnType
arg1 : Type1
arg2 : Type2
```
and lowers to View Contract metadata:
```tri
typedDeclareFn nameSym [(Type1) (Type2)] ReturnType t
typedValue arg1Sym Type1 t
typedValue arg2Sym Type2 t
```
If body flow metadata is emitted, the body result is required to satisfy the
appropriate residual view.
## 3. Syntax Forms
### 3.1 Binder annotation
```tri
x@Bool
xs@(List Bool)
f@(Fn [Bool] String)
```
A binder annotation introduces a normal term binder and contributes an argument
view to the function contract.
### 3.2 Phantom argument annotation
```tri
name @A @B =@C body
```
A phantom argument annotation contributes an argument view to the function
contract but introduces no term binder.
This is useful for point-free and combinator-heavy definitions.
```tri
name @A @B =@C body
```
declares:
```text
name : Fn [A B] C
```
The body itself must satisfy the residual function view:
```text
Fn [A B] C
```
### 3.3 Binder prefix with phantom tail
Phantom annotations may appear after binder annotations:
```tri
name x@A @B =@C body
```
This declares:
```text
name : Fn [A B] C
x : A
```
The body must satisfy:
```text
Fn [B] C
```
This allows a named binder prefix with a point-free tail.
### 3.4 Return annotation
```tri
name x@A =@B body
name =@B body
```
`=@B` contributes the result view.
A definition with no arguments and a return annotation is a value contract, not a
zero-arity function contract:
```tri
name =@Bool body
```
lowers to:
```tri
typedValue nameSym viewBool t
```
not:
```tri
typedDeclareFn nameSym [] viewBool t
```
## 4. Ordering Rule
Phantom argument annotations may only appear at the end of the argument list.
Valid:
```tri
foo x@A y@B =@C body
foo @A @B =@C body
foo x@A @B =@C body
foo x y@B @C =@D body
```
Invalid:
```tri
foo x@A @B z@C =@D body
foo @A x@B =@C body
```
Once a phantom `@Type` item appears, no later named binder may appear.
## 5. Contract-Bearing Definitions
A definition is contract-bearing if its head contains any of:
```text
binder@Type
@Type
=@Type
```
Ordinary unannotated definitions do not emit View Contract metadata.
```tri
foo x y = body
```
emits no contract metadata.
## 6. Unannotated Binders in Contract-Bearing Heads
In a contract-bearing definition, an unannotated binder contributes `Any`.
```tri
foo x y@Bool =@String body
```
means:
```text
foo : Fn [Any Bool] String
x : Any
y : Bool
```
This keeps mixed annotation lightweight without emitting contracts for fully
unannotated definitions.
## 7. Missing Return Annotation
If a contract-bearing definition has argument annotations but no return
annotation, the return view defaults to `Any`.
```tri
foo x@Bool = body
```
means:
```text
foo : Fn [Bool] Any
x : Bool
```
## 8. Type Annotation Grammar
Annotations are intentionally small at the attachment site.
After `@` or `=@`, the parser accepts either a single atomic view expression or
a parenthesized compound view expression.
Valid:
```tri
x@Bool
x@(List Bool)
f@(Fn [Bool] String)
r@(Result String Bool)
name =@Bool body
name =@(List Bool) body
```
These are not structural annotations:
```tri
x@List Bool
f@Fn [Bool] String
name =@List Bool body
```
They are parsed according to normal definition-head rules. For example,
`x@List Bool` means binder `x` has the atomic view expression `List`, followed by
an unannotated binder named `Bool`. Use parentheses when the annotation itself is
an application.
## 9. Type Grammar
View expressions are ordinary value-level expressions in a restricted annotation
grammar:
```text
ViewExpr
= name
| integer
| [ViewExpr...]
| ViewExpr ViewExpr
| (ViewExpr)
```
Built-in names lower to standard view values:
```text
Any -> viewAny
Bool -> viewBool
String -> viewString
Byte -> viewByte
Unit -> viewUnit
```
Atomic refs lower explicitly. String refs are the preferred user-facing form;
numeric refs remain available for low-level/generated code:
```text
Ref "Nat" -> viewRef "Nat"
Ref 10 -> viewRef 10
```
Additional named views and view constructors are ordinary `tricu` values:
```tri
Nat = viewRef "Nat"
Box a = viewPair (viewRef "Box") a
idNat x@Nat =@Nat x
idBox x@(Box String) =@(Box String) x
```
The frontend resolves names and evaluates view expressions, but well-formedness
is judged by the self-hosted checker (`wellFormedView?` in `lib/view.tri`).
Malformed view values are rejected when checked or published.
## 10. List Syntax in Types
Function argument lists use the source type grammar:
```tri
Fn [Bool String] Unit
Fn [(List Bool) (Maybe String)] Unit
```
The lowered typed program must still respect ordinary `tricu` list syntax, where
each list element is parenthesized when needed:
```tri
viewFn [(viewBool) (viewString)] viewUnit
```
## 11. Residual Body View
For a contract-bearing definition, the full definition view is always:
```text
Fn [allArgumentViews...] returnView
```
except for nullary value annotations, which use the return view directly.
The body obligation depends on how many argument views are represented by named
binders in the definition head.
Let:
```text
argViews = [A B C]
returnView = R
binderCount = number of named binders before the phantom tail
remaining = drop binderCount argViews
```
Then:
```text
bodyRequiredView = residual(remaining, returnView)
```
where:
```text
residual([], R) = R
residual([A ...], R) = Fn [A ...] R
```
Examples:
```tri
foo x@A y@B =@C body
```
Body required view:
```text
C
```
```tri
foo @A @B =@C body
```
Body required view:
```text
Fn [A B] C
```
```tri
foo x@A @B =@C body
```
Body required view:
```text
Fn [B] C
```
## 12. Lowering Examples
### 12.1 Fully annotated binders
Source:
```tri
foo x@Bool xs@(List Bool) =@String body
```
Definition contract:
```tri
typedDeclareFn fooSym [(viewBool) (viewList viewBool)] viewString t
typedValue xSym viewBool t
typedValue xsSym (viewList viewBool) t
```
Body obligation:
```tri
typedRequire bodySym viewString t
```
### 12.2 Pure phantom signature
Source:
```tri
foo @Bool @(List Bool) =@String body
```
Definition contract:
```tri
typedDeclareFn fooSym [(viewBool) (viewList viewBool)] viewString t
```
Body obligation:
```tri
typedRequire bodySym (viewFn [(viewBool) (viewList viewBool)] viewString) t
```
### 12.3 Binder prefix with phantom tail
Source:
```tri
foo x@Bool @(List Bool) =@String body
```
Definition contract:
```tri
typedDeclareFn fooSym [(viewBool) (viewList viewBool)] viewString t
typedValue xSym viewBool t
```
Body obligation:
```tri
typedRequire bodySym (viewFn [(viewList viewBool)] viewString) t
```
### 12.4 Value annotation
Source:
```tri
message =@String "hello"
```
Definition contract:
```tri
typedValue messageSym viewString t
```
Body obligation:
```tri
typedRequire bodySym viewString t
```
## 13. `tricu check`
`tricu check` consumes an annotated program, lowers annotations to typed program
metadata, runs the checker, and reports either `ok` or rendered diagnostics.
Initial behavior:
```bash
tricu check path/to/program.tri
```
outputs checker success or errors. Diagnostics are rendered by the portable
checker, then annotated by the frontend with source/debug labels when available:
```tri
id x@String =@Bool x
```
reports:
```text
symbol 1 (x) expected Bool but got String
```
Application result labels include the application head when known:
```tri
xs =@(List String) [(g "hi")]
g y@String =@Bool y
```
reports:
```text
symbol 3 (g application result) expected String but got Bool
```
These labels are presentation-only metadata. The checker still judges only the
emitted typed-program evidence.
Future behavior may include:
```bash
tricu check --out path/to/executable.arboricx path/to/program.tri
```
which checks an annotated source program and emits an executable Arboricx bundle.
The checker library remains available independently of the CLI workflow.
## 14. Frontend Lowering Boundaries
The annotation syntax is frontend sugar. The canonical checker input remains a
plain typed program: ordinary `typedValue`, `typedDeclareFn`,
`typedRequire`, and `typedApply` nodes represented as portable `tricu`
data.
The frontend may emit richer evidence from source forms, but it does not decide
semantic compatibility. In short:
```text
Haskell emits evidence.
tricu judges evidence.
```
Current source-driven evidence includes:
- literal views for strings, bytes, unit, and homogeneous list literals;
- expected element requirements for `List T` bodies;
- expected `Fn` requirements for lambda literals and curried application spines;
- application argument requirements when the callee has a known `Fn` view;
- expected constructor flow for unshadowed stdlib constructors:
- `pair` with expected `Pair A B`;
- `just` and `nothing` with expected `Maybe A`;
- `ok` and `err` with expected `Result E A`.
Constructor lowering only applies when the constructor name is not shadowed by a
local binder or top-level definition in the checked source. If a program defines
its own `pair`, `just`, `nothing`, `ok`, or `err`, checking falls back to normal
application evidence.
For tooling and regression tests, the frontend exposes a lowering-only API that
returns emitted typed program text without invoking the checker:
```hs
lowerSource :: String -> Either String String
```
It also exposes debug labels for symbols:
```hs
lowerSourceWithDebug :: String -> Either String (String, Map Integer String)
```
Debug labels are presentation metadata only. They are not part of checker
semantics and are not consumed by `lib/view.tri`.
`do` blocks have no separate View Contract semantics. The parser lowers them
through their explicit bind operator:
```tri
do bind
x <- action
next x
```
becomes ordinary application/lambda structure. Checking then follows the known
`Fn` view of the bind operator, including the callback argument view when it is
available.
## 15. Summary
The annotation syntax is:
```tri
name arg@A arg2@B =@C body
name @A @B =@C body
name arg@A @B =@C body
name =@C body
```
Core rules:
1. Binder annotations introduce binders and argument views.
2. Phantom annotations introduce argument views only.
3. Phantom annotations may only appear after all binders.
4. Unannotated binders in contract-bearing heads contribute `Any`.
5. Missing return annotations in contract-bearing heads default to `Any`.
6. Nullary `=@T` definitions are value contracts, not zero-arity functions.
7. Compound annotation types must be parenthesized.
8. Lowering emits ordinary typed-program nodes for the existing checker.