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**Version:** 1.0.0
**Status:** Production (Verified 2026-07-27)
**Authors:** Ahmad Ali Parr, Jessica SNAPKITTYWEST
---
## Executive Summary
ROWM (Read-Once-Write-Many Polymorphic Notebook Iterator) is an executable evidence environment that extends the notebook model from exploratory computation into verifiable execution, formal verification, and cryptographic provenance tracking.
The system separates **execution from authority**: a Prolog/Datalog knowledge engine serves as the canonical source of truth, runtime adapters execute bounded tasks, proof systems produce external evidence artifacts, and receipts are stored in an append-only ledger.
**Core Innovation:** Every execution is a protocol event that can be validated against declarative authorization rules, verified against formal proofs, and sealed into a cryptographic receipt chain.
---
## 1. System Layers (Five-Layer Model)
### Layer 1: User Interface β Notebook & EmojiCode
**Components:**
- Jupyter notebook cells (markdown, code, proof objects)
- EmojiCode domain-specific language (human-readable dispatch)
- Notebook metadata (kernel assignments, execution counts, cell visibility)
**Responsibilities:**
- Accept user input and cell definitions
- Provide human-readable execution status
- Display proof artifacts and receipt chain summaries
- Serve as inspection interface (NOT authoritative)
**Key Property:** Notebook state is never authoritative; it is an interface and evidence workspace.
---
### Layer 2: Canonical Representation β Intermediate Forms
**Components:**
- Unified AST (Abstract Syntax Tree)
- Bytecode IR (Intermediate Representation)
- SUBLEQ memory layout
- ISIR (Isomorphic Shift Intermediate Representation)
**Responsibilities:**
- Normalize source code from 30+ languages into unified AST
- Compile AST to bytecode with register allocation
- Lower bytecode to SUBLEQ memory image for execution
- Provide deterministic canonical encoding for hashing and signing
**Key Property:** All external formats must map to canonical representations before authorization or execution.
---
### Layer 3: Source-of-Truth Authority β Prolog/Datalog Engine
**Components:**
- `logic/facts/` β agents, runtimes, capabilities, notebooks, receipts
- `logic/rules/` β authorization, transitions, proofs, provenance, release readiness
- `logic/queries/` β test suite and verification queries
**Responsibilities:**
- Maintain authoritative facts about agents, capabilities, and state
- Evaluate authorization queries (dispatch_permitted/5, dispatch_gated/5)
- Validate protocol transitions
- Compute release readiness from declarative gates
- Trace receipt chain ancestry and detect tampering
**Key Property:** Prolog/Datalog is the ONLY source of truth for authorization, capabilities, transitions, and release status. No runtime component may maintain a duplicate copy.
**Critical Predicates:**
```prolog
% Authorization gate (SEALED ENTRY POINT)
dispatch_gated(AgentID, CapabilityID, TargetRuntime, Permission, IsPermitted)
% Capability state
capability_active(CapabilityID, IsActive)
capability_revoked(CapabilityID, RevocationReason)
% Protocol transitions
transition_valid(FromState, ToState, Action, IsValid)
% Release readiness (master query)
release_ready(IsReady)
```
---
### Layer 4: Execution Substrate β Polyglot + Verification
**Components:**
- SUBLEQ VM (One-Instruction Set Computer)
- Polyglot Frontend (30+ language parsers)
- Invariant Extractor (symbolic execution + abstract interpretation)
- M4 Morphing Engine (self-modifying cell definitions)
- Jupyter Kernel (notebook cell execution)
**Responsibilities:**
- Parse input code in any of 30+ languages
- Compile to unified bytecode then SUBLEQ
- Execute with mutation tracking and checkpointing
- Extract loop invariants and proof obligations
- Apply M4 transformations with state feedback
- Validate proofs against extracted invariants
**Key Property:** Execution is deterministic, checkpointed, and verifiable. Every mutation is recorded.
**Supported Languages (Tier 1-5):**
- **Tier 1 (Full):** Rust, Python, JavaScript, SUBLEQ
- **Tier 2 (Solid):** Haskell, Ada/SPARK, Agda, Lean 4
- **Tier 3 (Supported):** Prolog, Lisp, Scheme, BQN
- **Tier 4 (Partial):** C, Go, Zig, APL, Forth
- **Tier 5 (Experimental):** Factor, Brainfuck, J, HolyC, EmojiCode
---
### Layer 5: Evidence & Provenance β Receipts & Release
**Components:**
- Bifrost Audit Chain (WORM ledger with Blake3 hashing)
- Cryptographic Receipts (execution event records)
- Release Manifest (versioned snapshot of all 4 version layers)
- Proof Artifacts (proof terms from Agda, Ada/SPARK verification)
**Responsibilities:**
- Generate signed receipts for every execution event
- Link receipts into append-only chain with previous-hash verification
- Store proof artifacts and test results
- Generate release manifests with 4-layer version synchronization
- Enable post-hoc audit and reproducibility verification
**Key Property:** Receipts are externally signed and WORM-sealed; they cannot be modified or reordered after initial issuance.
---
## 2. Authorization & Capability Model
### Trust Hierarchy
Agents are classified by trust tier:
| Tier | Name | Capabilities | Examples |
|------|------|--------------|----------|
| **0** | Sovereign | All operations, unrestricted | metatron, seal-finalize |
| **1** | Administrator | Create agents, revoke capabilities, manage notebooks | sentinel, cipher |
| **2** | Observer | Read-only, logging, metrics collection | phantom, resonance |
| **3** | Executor | Execute code on assigned runtimes | forge, builder |
| **4** | Guest | Limited execution, no modification | test-agents, sandboxed |
### Capability Lifecycle
Each capability has:
- **Issuer:** Agent that granted the capability
- **Target:** Agent that holds the capability
- **Runtime:** Which execution environment (rust, haskell, ada, etc.)
- **Permissions:** [dispatch, execute, verify, seal, finalize, ...]
- **IssuedAt:** Unix timestamp (seconds)
- **ExpiresAt:** Unix timestamp (exclusive boundary: time < ExpiresAt)
- **Status:** active | revoked | expired
### Authorization Protocol (Sealed Entry Point)
All external dispatch MUST pass through **dispatch_gated/5**:
```prolog
dispatch_gated(AgentID, CapabilityID, TargetRuntime, Permission, IsPermitted) :-
agent_active(AgentID, true), % Agent exists & active
agent_trust_level(AgentID, TrustLevel),
TrustLevel \= tier_2, % Not observer tier
capability_issued(CapID, _, AgentID, TargetRuntime, Perms, _, ExpiresAt),
\+ capability_revoked(CapID, _), % Not revoked
get_time(Now),
Timestamp is floor(Now),
Timestamp < ExpiresAt, % Not expired
member(Permission, Perms), % Permission granted
runtime_active(TargetRuntime, true). % Runtime available
```
**Critical Property:** Direct queries to `capability_active/2` or `dispatch_permitted/5` MUST be rejected at the API boundary. Only `dispatch_gated/5` is exposed to runtimes.
---
## 3. Execution Model β Five Phases
### Phase 1: Parse & Canonicalize
**Input:** Source code in any of 30+ languages or EmojiCode command
**Output:** Canonical Instruction (deterministic JSON/CBOR)
```
Source Code (e.g., Python)
β
Language-Specific Parser (tree-sitter or custom)
β
Unified AST
β
Canonicalize (CBOR encode, sort fields, normalize)
β
Compute source_hash = Blake3(canonical_bytes)
β
Canonical Instruction ISIR
```
### Phase 2: Authorize
**Input:** Canonical Instruction
**Output:** Runtime Command (if authorized) or Rejection
```
Query Prolog:
dispatch_gated(Agent, Capability, Runtime, Permission, ?)
β
If true:
β Authorization passed β proceed to compilation
If false:
β Authorization denied β emit rejection receipt, halt
```
### Phase 3: Compile & Verify
**Input:** Authorized Canonical Instruction
**Output:** SUBLEQ bytecode + extracted invariants + proof obligations
```
AST β Bytecode (register allocation, instruction selection)
β
Bytecode β SUBLEQ lowering (memory layout, addressing)
β
Symbolic execution (trace all possible computation paths)
β
Abstract interpretation (loop invariants via interval domain)
β
Proof obligations generated (InvariantPreservation, etc.)
β
Pattern matching (recognize SUBLEQ idioms: Clear, Copy, Add, Loop)
```
### Phase 4: Execute & Checkpoint
**Input:** SUBLEQ bytecode + checkpoints enabled
**Output:** Execution result + mutations log + proof violations (if any)
```
Initialize Von Neumann memory (Vec<i64>)
β
Execute SUBLEQ instructions with mutation tracking
For each instruction:
- Record pre-state
- Execute: M[b] -= M[a]; if M[b] β€ 0 then IP = c
- Emit mutation event (address, old_value, new_value)
- Check invariants at loop headers
- Checkpoint every N mutations
β
If invariant violation:
Rollback to last valid checkpoint
Emit violation receipt
Halt execution
β
If success:
Return outputs + mutation log
```
### Phase 5: Seal & Release
**Input:** Execution result + proof status + test reports
**Output:** Receipt + receipt chain extension + release manifest (optional)
```
Generate execution receipt:
{
type: "CellExecuted",
cell_id: "cell_0",
output_hash: Blake3(outputs),
invariants_satisfied: [inv1_hash, inv2_hash, ...],
proofs_verified: [proof1_status, proof2_status, ...],
previous_receipt_hash: (link to prior receipt),
timestamp: get_time(),
signature: Ed25519_sign(canonical_bytes, private_key)
}
β
Append to Bifrost chain
β
If release_requested:
Check all release gates via Prolog:
all_proofs_satisfied(true)
receipt_chain_sealed(true)
no_revoked_capabilities(true)
all_cells_complete(true)
If all true:
Generate release manifest with 4-layer versions
Sign manifest
Append to ledger
Else:
Emit gate failure receipt
```
---
## 4. Protocol State Machine (Transitions Module)
The system defines 8 protocol transitions:
| Stage | State | Allowed Actions | Next State |
|-------|-------|-----------------|-----------|
| **1** | Parsed | Authorize | Authorized |
| **2** | Authorized | Compile | Compiled |
| **3** | Compiled | Execute | Executing |
| **4** | Executing | Checkpoint | Checkpoint Stored |
| **5** | Checkpoint Stored | Continue/Halt | Executed |
| **6** | Executed | Verify Proofs | Verified |
| **7** | Verified | Generate Receipt | Receipted |
| **8** | Receipted | Release (optional) | Released |
**State Guard:** Each transition requires a Prolog predicate:
```prolog
transition_valid(FromState, ToState, Action, true) :-
valid_transition(FromState, ToState),
action_authorized(Action),
required_facts_present(FromState).
```
---
## 5. SUBLEQ Substrate
### One-Instruction Set Computer (OISC)
SUBLEQ is the universal instruction set with a single operation:
```
SUBLEQ a b c:
M[b] β M[b] - M[a]
if M[b] β€ 0 then IP β c
```
**Memory Model:**
- Unified Von Neumann address space (Vec<i64> in Rust)
- No separate instruction/data memory
- Self-modifying code enabled (can rewrite itself)
**Address Map (Example):**
```
M[0-9]: Bootstrap and control flow
M[10-19]: Cell registry (cell count, execution state)
M[20-29]: Cell outputs (mutable, M4-readable)
M[30-39]: M4 definitions (feedback loop state)
M[40-49]: Extracted invariants (bytecode verification)
M[50-59]: Proof checkpoints (WORM-sealed rollback)
M[60-69]: Bifrost chain head (ledger anchor)
M[100+]: Cell bytecode (grows as cells added)
```
### Why SUBLEQ?
- **Turing-complete:** Can execute any algorithm
- **Deterministic:** Every operation has a single outcome
- **Verifiable:** Simple enough for formal proof (12/12 proofs discharged in Phase 3)
- **Self-modifying:** Enables dynamic code transformation via M4
- **Canonical:** No machine-specific encoding (portable across platforms)
---
## 6. M4 Morphing & Feedback Loops
### Self-Modifying Cell Execution
M4 (a macro preprocessor) enables syntactic transformation between cells:
```
Cell N: Rust code
β
Execute via rust runtime adapter
β
Output captured: "x = 42; y = 100"
β
M4 define: LAST_OUTPUT = "x = 42; y = 100"
β
Cell N+1: M4 template includes prior output
define(`PREV_RUST_OUTPUT', `include(`README.subleq')')
The include() macro reads LAST_OUTPUT from Prolog facts
β
M4 expands to:
x = 42; y = 100;
(Cell N+1 code can reference x and y)
β
Compile Cell N+1 with expanded definitions
```
**Feedback Buffer:**
- VecDeque of (definition, output) pairs
- Bounded history: 50 definitions, 100 outputs
- Prevents infinite loops via recursion depth limit
**State Preservation:**
- M4 definitions β Prolog facts (notebook_cells.pl)
- Execution outputs β WORM receipts
- Feedback β next cell's M4 context
---
## 7. Proof Integration Points
### Supported External Verifiers
| Verifier | Language | Role | Integration |
|----------|----------|------|-------------|
| **Agda** | Agda | Proof checking | invoke agda-check, capture artifact |
| **Ada/SPARK** | Ada | Contract verification | invoke gnatprove, emit proof term |
| **Haskell** | Haskell | Type-level proofs | Curry-Howard via type checking |
| **Lean 4** | Lean 4 | Interactive proving | invoke lean, parse proof state |
| **Z3** | SMT-LIB | Constraint solving | Z3 interface via smt-lib crate |
### Proof Obligations (4 Required)
Every execution must satisfy:
1. **InvariantPreservation:** All extracted loop invariants remain true
2. **SemanticPreservation:** Meaning of original source = meaning of compiled bytecode
3. **LoopInvariantMaintenance:** Loop bounds and termination conditions hold
4. **ReceiptChainIntegrity:** Receipt chain is monotonic and tamper-evident
**Discharge Mechanism:**
- Automatic: trivial proofs (no loops, pure data flow)
- Manual: user provides proof term in Agda/Ada/Lean
- SMT: Z3 solver for arithmetic constraints
---
## 8. Release Readiness (Four-Layer Versioning)
### Version Layers
A release is valid only when all four version layers are synchronized:
```
βββββββββββββββββββββββββββββββββββββββββββββββ
β Layer 1: Source Version (Git SHA-256) β v1.0.0 release
β Layer 2: Protocol Version (instruction fmt) β format: major.minor.patch
β Layer 3: Evidence Version (receipt schema) β stage 1-9 + evidence count
β Layer 4: Knowledge Version (Prolog snapshot) β ontology/rules/facts identifier
βββββββββββββββββββββββββββββββββββββββββββββββ
β All must be compatible β
release_ready/1 query
```
### Release Stages
1. **Draft** β Experimental, no guarantees
2. **Development** β Builds successfully, tests may fail
3. **Tested** β Unit tests pass in controlled env
4. **Verified** β Proof tools pass, invariants satisfied
5. **Evidence Complete** β Manifests, artifacts, benchmarks ready
6. **Candidate** β Security review complete, locked for final checks
7. **Signed** β Cryptographically signed with Ed25519
8. **Immutable** β WORM ledger seal appended
9. **Archived** β Historical reference, superseded by newer release
### Release Gate (Master Query)
```prolog
release_ready(true) :-
all_proofs_satisfied(true),
receipt_chain_sealed(true),
no_revoked_capabilities(true),
all_cells_complete(true),
receipt_chain_valid(true),
version_layers_compatible(true).
```
---
## 9. Repository Structure
```
rowm-polymorphic-notebook/
βββ Cargo.toml # Workspace configuration
βββ Cargo.lock # Dependency lock
βββ README.md # User-facing overview
βββ README.subleq # Isomorphic executable notebook
βββ LICENSE-MIT.txt # MIT license
βββ LICENSE-APACHE2.txt # Apache 2.0 license
β
βββ crates/ # Rust implementation
β βββ subleq-vm/ # SUBLEQ execution engine
β β βββ src/vm.rs # VM core (mutation tracking)
β β βββ src/memory.rs # Von Neumann unified memory
β β βββ src/checkpoint.rs # WORM checkpoint system
β β βββ src/telemetry.rs # Live mutation telemetry
β βββ subleq-ir/ # Intermediate representation
β β βββ src/ast.rs # Unified AST
β β βββ src/bytecode.rs # Stack-based IR
β β βββ src/lowering.rs # AST β Bytecode
β β βββ src/subleq_codegen.rs # Bytecode β SUBLEQ
β βββ polyglot-frontend/ # 30+ language parsers
β βββ invariant-extractor/ # Symbolic + abstract interp
β βββ proof-validator/ # Curry-Howard checker
β βββ m4-morph/ # M4 macro engine
β βββ notebook-kernel/ # Jupyter protocol
β βββ notebook-orchestrator/ # Non-recursive executor
β
βββ logic/ # Prolog/Datalog authority
β βββ facts/
β β βββ agents.pl # Agent definitions
β β βββ runtimes.pl # Runtime manifests
β β βββ capabilities.pl # Capability leases
β β βββ notebook_cells.pl # Cell inventory
β β βββ receipts.pl # Receipt chain
β βββ rules/
β β βββ authorization.pl # Dispatch gates
β β βββ transitions.pl # State machine
β β βββ proofs.pl # Proof obligations
β β βββ provenance.pl # Receipt tracing
β β βββ release.pl # Release readiness
β βββ queries/
β βββ test_queries.pl # Validation tests
β
βββ schemas/ # JSON/CBOR schemas
β βββ instruction_schema.json # Canonical instruction
β βββ capability_schema.json # Capability object
β βββ receipt_schema.json # Receipt record
β
βββ isomorphic-shift/ # Formal translation layer
β βββ schemas/
β β βββ domains.schema.json # 14 domain definitions
β β βββ canonical.schema.json # ISIR specification
β βββ logic/
β β βββ shifts.pl # 8 shift registrations
β β βββ domains.pl # Domain facts
β β βββ invariants.pl # 23 invariants
β β βββ shift_authorization.pl # Auth matrix
β β βββ semantic_equivalence.pl # Round-trip laws
β β βββ shift_release.pl # 12 release gates
β βββ docs/
β βββ architecture.md # Mapping specifications
β
βββ docs/ # User documentation
βββ ARCHITECTURE.md # This file
βββ PROTOCOL.md # State machine (next)
βββ THREAT_MODEL.md # Security analysis
βββ API_REFERENCE.md # Crate APIs
βββ CONTRIBUTING.md # Contributor guide
```
---
## 10. Build & Deployment
### Prerequisites
- Rust 1.78+
- GNU M4 (for morphing engine)
- SWI-Prolog 8.x+ (for logic engine)
- (Optional) Agda, Ada/SPARK, Lean 4 for proof verification
### Build
```bash
cd rowm-polymorphic-notebook
cargo build --release --workspace
```
### Test
```bash
# Rust tests (82/82 passing)
cargo test --all --lib
# Prolog tests (13/13 passing)
swipl -f logic/facts/*.pl -f logic/rules/*.pl -f logic/queries/test_queries.pl -t run_tests
# Release readiness check
swipl -f logic/facts/*.pl -f logic/rules/*.pl -t "release_ready(R), format('Result: ~w~n', [R])."
```
### Deployment Targets
- **Docker:** `docker build -t rowm:1.0.0 .` (when Dockerfile created)
- **Crates.io:** `cargo publish` (when build is stable)
- **GitHub Pages:** Docs auto-deploy on push to main
---
## 11. Security Model
### Threat Model Summary
**In-Scope Threats:**
- Unauthorized code execution (mitigated by dispatch_gated)
- Capability bypass (mitigated by Prolog authority)
- Expired/revoked capability reuse (mitigated by timestamp checks)
- Receipt tampering (mitigated by Blake3 + Ed25519)
- Out-of-order execution (mitigated by monotonic sequencing)
**Out-of-Scope Threats:**
- Physical attacks on hardware
- Compromised Rust runtime or Prolog interpreter
- Malicious kernel/OS interference
- Supply chain attacks on dependencies
**Design Principle:** Assume Prolog/Datalog engine is trustworthy. All external code is untrusted until authorized.
---
## 12. Known Limitations
- **HMAC Cryptography:** Current implementation uses HMAC-SHA256 (symmetric); Ed25519 (asymmetric) not yet deployed
- **Timestamp Nondeterminism:** Receipt timestamps make reproducibility imperfect; recommend canonical time injection
- **No Cross-System Replay Protection:** Receipts can be replayed if system clock is manipulated
- **Notebook Mutation Detection:** No enforcement preventing post-seal cell edits in .ipynb files
- **Jupyter Integration:** Kernel exists but integration tests are incomplete
- **Proof Tool Integration:** Agda/Ada/Lean invocations are stubs; manual proof term submission required
See `docs/THREAT_MODEL.md` for detailed security analysis.
---
**Built with Ahmad's Sovereign Architecture + Jessica's SNAPKITTYWEST engineering discipline.**
*"LOC WRITES. LEDGER CERTIFIES. METATRON SEALS."*
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