# Fan-in input distinguishability — Design Spec

**Date:** 2026-06-08
**Status:** Draft — awaiting user spec review
**Authors:** orchestrator + Claude

## Goal

A node with more than one input (a fan-in node) carries an ordered argument
list whose order is load-bearing for non-commutative nodes (`Sub`: a − b). The
definition view currently labels those inputs with positional stubs derived
from the slot index — `[Sub(#A,#B)]` (`crates/aura-cli/src/graph.rs:182-183`).
`#A`/`#B` say nothing about *which producer* feeds each slot, and two distinct
`Sub` nodes in one graph render identically.

The root cause is upstream of the render. `sma_cross` (`main.rs:122`) wires two
`Sma` nodes into a `Sub` **without naming their length params** (empty alias
list, `main.rs:134`). Run `aura graph` and the signature reads `sma_cross() ->
(cross)` — no params at all — with two `[SMA]` boxes feeding `[Sub(#A,#B)]`. The
two SMAs each carry an *unnamed* `length` slot that will be filled with
*different* values (2 and 4): the author means two different things — fast and
slow — but the rendered identity hides it. That is the defect: an input fed by a
node with a configuration axis the author left unnamed, sharing its rendered
identity with a sibling. The contemporaneous `macd` fixture (`main.rs:191`),
authored after the graph view existed, does it right: aliased
`fast`/`slow`/`signal` lengths, a full `macd(fast:i64, slow:i64, signal:i64)`
signature.

This cycle makes that defect **illegal by construction** and lets the render
rely on the guarantee:

1. **Construction constraint (aura-engine).** A composite with a fan-in node
   whose two input slots are fed by sources with **identical signatures** *and*
   where **at least one colliding source carries an unaliased param slot** is a
   construction fault — a new `CompileError`, raised in the same per-composite
   walk that already validates aliases, output ports, and role kinds. Equal
   signatures with no unaliased param are genuinely interchangeable inputs (a
   fan-out / diamond — `add(price, price)`, two identical pass-throughs) and are
   allowed: there is no "which is which" to confuse.
2. **Source-derived render identifiers (aura-cli).** With the defect ruled out,
   the definition view replaces positional `#A/#B` with the shortest
   abbreviation of each input's *producing node* — `[Sub(#Sf,#Ss)]`,
   `[Sub(#Ef,#Es)]` — answering "where does this input come from" from the label
   alone. Genuinely-interchangeable inputs (equal signatures, no unaliased
   param) keep the positional letter — correct, since interchangeable inputs
   have no load-bearing order.
3. **Fixture correction.** `sma_cross` gains `fast`/`slow` aliases, becoming a
   well-formed composite that passes the new constraint.

### A node's signature (the recursive identity)

The signature is the authoring identity of a node, built depth-first:

```
signature(node) :=
    typeInitial(node)                    -- 'E' for EMA, 'S' for SMA/Sub, …
  ++ [ initial(alias) for alias in node's param-aliases, in declared order ]
  ++ [ inputSig(slot)  for slot  in node's wired inputs, in slot order ]

inputSig(slot) :=
    roleName(source)        if the slot's source is an input role   (named port — no descent)
    compositeName(source)   if the source is a nested composite      (named — no descent)
    signature(source)       if the source is an interior leaf        (recurse)
```

So `EMA(fast)` has signature `Ef`; `Sub(EMA(fast), EMA(slow))` has signature
`SEfEs`; a `Sma` with no alias fed by role `price` has signature `Sp`. The
recursion terminates because the dataflow is a DAG (C5); the only feedback path
is an explicit delay/state node, at which the descent stops (a state node is a
named type whose signature is its type + aliases, not its delayed input).

Two siblings **collide** when their full signatures are equal — which happens
only when their source sub-trees are structurally *and* nominally identical (or
are the very same node fed twice). The injected param *value* (length 2 vs 4) is
bound later and is not part of the signature; two alias-less SMAs on the same
input have identical signatures regardless of the values they will receive.

A collision is a **construction fault only when at least one colliding source
carries an unaliased param slot** — the configuration axis that could distinguish
the two but whose name is missing. The fix is always available: name the param
(C: an alias initial enters the signature, separating the siblings). A collision
where neither source has any param is genuinely interchangeable — `Pass`/`Pass`,
`add(price, price)` — and is allowed; the render falls back to the positional
letter for those slots (interchangeable inputs carry no order).

The rendered identifier is the **shortest prefix** of a source's signature that
is unique among the consumer node's siblings (per-node-call namespace, not
composite-global; prefix-free among siblings). Most nodes resolve at the type +
first-alias initials (`Ef`, `Ss`) and never reach the recursive tail; nested
bare combinators reach into it (`SEf` vs `SEu`); genuinely interchangeable
collisions cannot be separated and use the positional fallback.

### Relationship to existing contracts

`param_space` documents (`blueprint.rs:176-177`) that "same-type siblings in
one composite share a name — uniqueness is at the slot". That stays true for
**param binding**: the injected vector is positional, one value per slot
(C12/C19/C23 untouched). This cycle adds a *separate* authoring well-formedness
rule that bites only at fan-in nodes whose colliding sources have an unnamed
configuration axis. C23 is not violated — the check runs during construction,
before the type-erased flat graph; runtime names stay non-load-bearing debug
symbols. What changes is that a composite which was silently accepted (then
rendered ambiguously) is now rejected at compile. This is a deliberate contract
refinement, recorded in the ledger.

## Architecture

### Construction constraint (aura-engine)

`inline_composite` (`crates/aura-engine/src/blueprint.rs:344`) destructures a
composite into `{ nodes, edges, input_roles, param_aliases, output }` and runs
structural checks there (alias slot validity `:361-367`, output-port range,
role kinds). The new check joins them, before the interior is lowered:

- Enumerate each interior node's wired input slots from `edges` (`Edge.to ==
  i`) and `input_roles` (`Role.targets` with `node == i`).
- For each node with **> 1** wired slot, compute each slot-source's full
  signature (recursive, per the definition above).
- If two slots of one node carry equal signatures **and** at least one of those
  two sources is a leaf with a param slot that has no alias, raise the new
  `CompileError`. (Equal signatures where neither source has an unaliased param
  are allowed — interchangeable.)

The check needs interior leaves' type labels and alias names at compile time —
`factory.label()` (the value-empty type name) and the `param_aliases` already in
hand — plus `factory.params()` to know whether a source has param slots, and a
recursive walk of interior `edges`/`input_roles` to build a source's signature.
No param *values* are required: the check is structural.

New variant on `CompileError` (`blueprint.rs:127`):

```rust
/// A fan-in node (>1 input) at interior index `node` has two input slots fed
/// by sources with identical signatures (type + alias names + recursive input
/// signatures) where at least one source has an unaliased param slot — the two
/// inputs differ in configuration but share a rendered identity. Name the
/// distinguishing param (e.g. fast/slow).
IndistinguishableFanIn { node: usize },
```

### Render identifiers (aura-cli)

`leaf_label` (`crates/aura-cli/src/graph.rs:160`) keeps its slot collection;
the stub construction changes from "slot index → letter" to "slot's producer →
shortest-unique prefix of its signature":

- For each wired slot, resolve its producer and that producer's signature.
- The identifier is the shortest signature prefix unique among **this node's**
  sibling inputs. A role passes its name through verbatim (`#price`). Each final
  identifier is `#`-prefixed.
- Two siblings with equal full signatures (the allowed interchangeable case, or
  an un-compiled malformed blueprint) cannot be separated by any prefix; those
  slots fall back to the positional letter (`#A`). For a *valid* blueprint this
  is reached only by genuinely-interchangeable inputs, which is correct; the
  construction constraint guarantees no *configuration-distinct* pair reaches it.
- No counter suffix is introduced.

No edge labels are introduced; `render_flat` keeps passing `None`
(`graph.rs:85`).

### Fixture correction (aura-cli)

`sma_cross` (`main.rs:122`) gains the two missing aliases, mirroring `macd`:

```rust
// params: was vec![]
vec![
    ParamAlias { name: "fast".into(), node: 0, slot: 0 }, // fast SMA length
    ParamAlias { name: "slow".into(), node: 1, slot: 0 }, // slow SMA length
],
```

## Concrete code shapes

### Worked user-facing example (the acceptance evidence)

`aura graph`, the `where:` definition of `sma_cross`. **Before** (today — the
defect): `sma_cross() -> (cross)`, two indistinguishable `[SMA]`, `[Sub(#A,#B)]`.
**After** the fixture correction:

```text
sma_cross(fast:i64, slow:i64) -> (cross):

      [price]
    ┌────└────┐
    ↓         ↓
 [SMA(fast)] [SMA(slow)]
    └────┌────┘
         ↓
   [Sub(#Sf,#Ss)]
         │
         ↓
      [cross]
```

The signature carries the lengths; each SMA shows its alias; the `Sub` reads
`[Sub(#Sf,#Ss)]` — "fast SMA minus slow SMA". The `macd` definition's two
`Sub`s, both `[Sub(#A,#B)]` today, become `[Sub(#Ef,#Es)]` (the line) and
`[Sub(#S,#Es)]` (the histogram) — distinct and self-describing.

### Nested bare combinators (the recursive case, legal)

`Sub(Sub(EMA(fast),EMA(slow)), Sub(EMA(up),EMA(down)))` — two bare `Sub`s into
one `Sub`. The inner Subs have signatures `SEfEs` and `SEuEd`; distinct, so the
outer Sub renders by descending into the inputs just far enough:

```text
       [Sub(#Ef,#Es)]   [Sub(#Eu,#Ed)]
              └──────┐  ┌──────┘
                     ↓  ↓
              [Sub(#SEf,#SEu)]
```

`#SEf` / `#SEu` = the shortest prefixes that separate `SEfEs` from `SEuEd`.

### Interchangeable inputs (the allowed collision)

`Join(Pass(price), Pass(price))` (the `fan_composite` test fixture,
`blueprint.rs:581`): two param-less `Pass` leaves, both fed by role `price`,
into one `Join`. Both signatures are `Pp` — equal — but **neither source has a
param**, so this is interchangeable, **not** a fault: `compile()` accepts it,
and the render uses the positional fallback `[Join(#A,#B)]` (the two inputs have
no load-bearing order). `add(price, price)` is the same case.

### The construction fault, shown

The *old* `sma_cross` shape — two `Sma` (each with an unaliased `length`) on the
same role into a `Sub` — is rejected; both have signature `Sp` and carry an
unaliased param:

```rust
// two SMA leaves, no aliases, both fed by role `price`, into one Sub:
//   signature(node0) == signature(node1) == "Sp", and Sma has an unaliased
//   `length` param slot.
// compiling a blueprint containing this composite:
//   => Err(CompileError::IndistinguishableFanIn { node: 2 })
```

### Implementation shape (secondary)

`leaf_label` stub construction, today (`graph.rs:182-183`) maps slot index →
`#A/#B`; after, each wired slot resolves its producer's signature and renders
the shortest sibling-unique prefix (`#…`), with the positional letter kept for
the equal-signature (interchangeable) case:

```rust
let stubs: Vec<String> = if slots.len() > 1 {
    fan_in_identifiers(c, index, &slots) // signature prefixes, slot order
} else {
    Vec::new()
};
```

The construction check inside `inline_composite`, beside the existing
validations (`blueprint.rs:361-409`):

```rust
// for every interior node with >1 wired input slot: if two sources share a
// signature AND at least one has an unaliased param slot, IndistinguishableFanIn.
for node in 0..item_count {
    if let Some(dup) = colliding_pair_with_unaliased_param(node, &edges, &input_roles, &nodes) {
        return Err(CompileError::IndistinguishableFanIn { node });
    }
}
```

## Components

- **`CompileError::IndistinguishableFanIn { node }`** (new variant,
  `blueprint.rs:127`).
- **construction check + `signature` walk** in `inline_composite`
  (`blueprint.rs:344`): per-node fan-in collision detection guarded by the
  unaliased-param predicate + the recursive signature helper (type label + alias
  names + input signatures; role/composite source stops the descent). Reuses
  `factory.label()`, `factory.params()`, and the destructured
  `param_aliases`/`edges`/`input_roles`. Terminates on the DAG (C5).
- **`leaf_label` / `fan_in_identifiers`** (`graph.rs:160`): shortest
  sibling-unique signature prefix, role passthrough, positional fallback for the
  equal-signature case. The wired-slot collection (today inline in `leaf_label`)
  is the shared seam; it must not be duplicated.
- **`sma_cross` fixture** (`main.rs:122`): two aliases added. The engine-local
  `sma_cross()`/`fast_slow` fixtures (`blueprint.rs`) that build the same
  param-bearing alias-less shape into a fan-in must also gain aliases (they now
  fail the constraint); the param-less `fan_composite` and the hand-wired
  flat-level fixtures are unaffected (interchangeable / not composite-compiled).
- The signature notion is shared by the engine check and the CLI render. Whether
  the signature helper lives in aura-engine and is reused by aura-cli, or is
  computed each side, is a plan-level call; its *definition* must be a single
  source of truth.

## Data flow

Construction: `compile_with_params` → `lower_items` → `inline_composite` →
**new fan-in check** (before interior lowering) → on a colliding pair where one
source has an unaliased param, `Err(IndistinguishableFanIn)`; else continue.

Render: `render_definition` → `leaf_label(c, index, factory)` →
`fan_in_identifiers(c, index, slots)` → per slot: producer → signature →
shortest sibling-unique prefix (or positional fallback on an inseparable
collision) → `#id`; structure only, no `eval`.

## Error handling

- **`IndistinguishableFanIn`** is the new, intended construction fault —
  returned, never panicked; composes with the existing `CompileError` surface
  (`PartialEq`, testable like `BadInteriorIndex`).
- **Interchangeable collision** (equal signatures, no unaliased param): allowed
  at compile; the render uses the positional letter for those slots. Total, no
  panic.
- **Render of a malformed blueprint** (a constraint-violating one, rendered
  without compiling): the colliding slots also fall back to positional letters —
  the same total path, no panic, no dropped slot.
- **Signature recursion**: bounded by the DAG (C5); descent stops at named
  sources (roles, composites) and state/delay nodes, so it cannot loop.

## Testing strategy

Engine (the central RED):

- **New constraint test** (`blueprint.rs` test module, beside
  `BadInteriorIndex` / `RoleKindMismatch` ~`:782-817`): a composite with two
  alias-less `Sma` (each an unaliased `length`) on the same role feeding one
  `Sub` compiles to `Err(IndistinguishableFanIn { node: 2 })`.
- **Positive — aliased**: the same shape with distinct `fast`/`slow` aliases
  compiles `Ok`.
- **Positive — interchangeable**: `fan_composite` (`blueprint.rs:581`, two
  param-less `Pass` into a `Join`) still compiles `Ok` — equal signatures, no
  unaliased param. This pins the param-aware criterion (the distinguishing test
  vs the SMA case).
- **Positive — nested bare combinators**: `Sub(Sub(a,b),Sub(c,d))` with distinct
  interior leaves compiles `Ok` (distinct recursive signatures).

Render (aura-cli):

- **`macd_blueprint_renders_a_nested_composite_definition`** (`main.rs:585`):
  the single `[Sub(#A,#B)]` assert (`:598`) becomes `[Sub(#Ef,#Es)]` and
  `[Sub(#S,#Es)]`.
- **Sample needle** (`main.rs:402`) and **`blueprint_view_golden`** (`:491`,
  line ~522): re-captured for the corrected `sma_cross` — `sma_cross(fast:i64,
  slow:i64) -> (cross)`, `[SMA(fast)]` / `[SMA(slow)]`, `[Sub(#Sf,#Ss)]`.
- **New focused render test**: per-node-call uniqueness, role-name passthrough
  (`#price`), the recursive descent (`[Sub(#SEf,#SEu)]`), and the interchangeable
  positional fallback (`[Join(#A,#B)]`-style).
- **`compiled_view_golden`** (`main.rs:533`): byte-stable — flat graph labels via
  `Box<dyn Node>::label()`, no fan-in stubs, no `#` identifier. C23 guard.

Fixture knock-on (the constraint-driven set):

- Engine-local `sma_cross()` (`blueprint.rs:919`) and the `fast_slow` fixtures
  (`:1262`, `:1316`) build the param-bearing alias-less fan-in and now fail
  `compile()`; they gain `fast`/`slow` aliases. The eight tests on
  `composite_sma_cross_harness` and the `param_space` name assert
  (`blueprint.rs:1149-1152`) re-pin to the aliased names. `fan_composite` and the
  two tests on it (`:598`, `:677`) stay green (interchangeable). The hand-wired
  flat fixtures (`main.rs:46`, `blueprint.rs:877`) bypass `inline_composite` and
  stay green.
- CLI sample `param_space` names gain `sma_cross.fast` / `sma_cross.slow`;
  `sample_point` slot order/values unchanged. The planner enumerates exact
  affected asserts.

## Acceptance criteria

Per aura's feature-acceptance: a strategy author cannot accidentally ship a
fan-in whose inputs differ in configuration but share a rendered identity — the
engine rejects it at construction, where aura makes invariants structural;
genuinely-interchangeable inputs stay legal; the graph view communicates input
provenance correctly; no runtime/flat graph behaviour changes (C1/C12/C19/C23
intact).

- [ ] A composite with a fan-in node whose two sources have equal signatures and
      at least one has an unaliased param fails `compile()` with
      `IndistinguishableFanIn { node }`.
- [ ] Equal-signature sources with **no** unaliased param (`fan_composite`,
      `add(price,price)`) compile `Ok`; distinct aliases and distinct nested
      combinators compile `Ok`.
- [ ] `sma_cross` (CLI and engine-local) is corrected to declare `fast`/`slow`
      aliases; its signature renders `sma_cross(fast:i64, slow:i64) -> (cross)`.
- [ ] A fan-in leaf renders each input as a `#`-prefixed shortest-unique
      signature prefix (recursive into bare sources as needed), replacing
      positional `#A/#B`; a role-fed input uses the verbatim role name;
      interchangeable inputs keep the positional letter.
- [ ] Abbreviations are scoped per-node-call; a valid blueprint never needs a
      counter suffix.
- [ ] The render stays total on interchangeable and malformed blueprints
      (positional fallback; no panic).
- [ ] The MACD render shows its two `Sub`s as distinct labels; nested bare
      combinators render their recursive identifiers.
- [ ] `compiled_view_golden` stays byte-stable (C23 guard); affected blueprint
      goldens / needles / param_space asserts regenerated.
- [ ] The construction-constraint contract refinement is recorded in the design
      ledger.
