Yes — and that’s a very reasonable moment to do it.
Below is a **compact, structured condensation** of the *actual conclusions* reached, stripped of detours, phrased so you can paste it into a new document or start a new thread cleanly.

---

# ASL / PEL / Domain Model — Compact Working Summary

## 1. Domains (Git-like, clarified)

* **Common**
  A normal domain. Holds its own log, index, and store. Acts as a shared “main branch”.

* **root.alice**
  Alice’s *public-facing* sub-domain.

  * Sub-domain of **Common**
  * Also sub-domain of **alice**
  * Only place Alice publishes to Common
  * Has its own log/index/store
  * May publish snapshot hashes to Common (existence proofs)

* **alice (private)**
  Alice’s private working domain.

  * Never visible to Common
  * Contains secrets, experiments, raw data
  * Artifacts move outward only by explicit copy/promote into `root.alice`

Mental model:

```
alice (private working tree)
  → root.alice (publishable branch)
    → common (main branch)
```

Groups are just domains under Common with multiple authorities.

---

## 2. Logs & Indexes (key clarification)

* There is **one authoritative append-only log per domain**.
* The **ASL log records index-segment events**, not individual artifact bytes.
* The **index is reconstructed** as:

  ```
  snapshot + replay(log)
  ```
* No “second log” is needed:

  * Index segments are immutable
  * The log references sealed segments
  * Blocks are never logged semantically

---

## 3. Blocks (demoted correctly)

* **Blocks are NOT semantic units**
* Blocks are **storage-only atoms**
* Blocks:

  * may contain many artifacts
  * may contain one artifact
  * may be regenerated
  * may differ across domains

**Publication never publishes blocks.**
Only index entries define visibility.

This avoids leaks like:

> secret + recipe accidentally in same block

---

## 4. Artifacts & Storage

* Artifacts are defined by **identity (hash)**, not storage.
* Storage may:

  * pack artifacts
  * encrypt artifacts
  * discard artifacts
  * recompute artifacts
* Index entries may point to:

  * stored blocks
  * encrypted blocks
  * virtual (recomputable) locations

Blocks never cross trust boundaries implicitly.

---

## 5. PEL (major conclusion)

### There is only **ONE** PEL.

No meaningful split between “PEL-S” and “PEL-P”.

PEL is:

> A deterministic, snapshot-bound, authority-aware derivation language that maps artifacts → artifacts.

Key points:

* Any PEL output may be:

  * stored
  * cached
  * discarded
  * recomputed
* Authority & provenance always apply
* “Semantic vs physical” is **store policy**, not language design

---

## 6. Deduplication (important insight)

Deduplication is **semantic**, not block-based.

The system may track:

```
Artifact A
 ├─ derived via PEL program X
 ├─ derived via PEL program Y
 └─ imported from domain Z
```

This enables:

* semantic equivalence
* alternate provenance paths
* stronger trust reasoning

Blocks follow later as optimization.

---

## 7. Publication semantics

* Domains never “push blocks”.
* Domains publish:

  * index entries
  * optional snapshot hashes
* Common indexes `root.alice` like any other sub-domain.
* Proof-of-existence is achieved by publishing snapshot hashes, not data.

---

## 8. Mental hierarchy (final)

```
PEL (pure derivation)
  ↓
Artifacts (semantic facts)
  ↓
Index (visibility + truth)
  ↓
Store policy (encrypt / pack / discard / cache)
  ↓
Blocks (pure implementation detail)
```

---

## One-sentence takeaway

> **PEL defines truth derivation, indexes define visibility, stores decide materialization, and blocks are just a packing trick.**

---

If you want, next time we can:

* restate this as a **single clean spec**,
* or start fresh from **“ASL vNext minimal principles”**,
* or jump directly into **implementation decisions** without re-deriving theory.

You’re at a very solid conceptual checkpoint now.