# Causal State Mutations - A Few-Shot Capability Matrix

**SYSTEM DIRECTIVE: NEUROSYMBOLIC CAUSAL STRUCTURING**

This matrix provides the strictly typed, mathematically precise python formulations for instantiating Neurosymbolic categorical constructs. You must strictly employ SOTA lexicon and determinism algorithms. The provided structures map temporal progression to Merkle-DAG causal logic and explicitly reference cryptographic Content Identifiers (CIDs).

## 1. Instantiating a `DefeasibleCascadeEvent`
This cryptographically frozen historical fact denotes an irreversible causal deletion cascade. Any prior state connected via this Merkle-DAG coordinate is quarantined and logically negated.

```python
from uuid import UUID
from datetime import datetime, timezone
from pydantic import BaseModel, Field

# Note: This is an illustrative structural schema. Ensure alignment with the God Context ontology.
class DefeasibleCascadeEvent(BaseModel):
    event_cid: UUID = Field(..., description="The strictly deterministic Content Identifier (CID) for this event.")
    target_node_cid: UUID = Field(..., description="The Merkle-DAG coordinate of the negated entity.")
    timestamp: datetime = Field(default_factory=lambda: datetime.now(timezone.utc), frozen=True)
    cascade_depth: int = Field(default=1, strict=True)

    # Note: validation signatures enforce frozen bounds; temporal shifts are physically impossible.
    model_config = {
        "frozen": True,
        "populate_by_name": True,
    }

# Instantiation Example
quarantine_event = DefeasibleCascadeEvent(
    event_cid=UUID("550e8400-e29b-41d4-a716-446655440000"),
    target_node_cid=UUID("123e4567-e89b-12d3-a456-426614174000"),
    cascade_depth=3
)
```

## 2. Instantiating a `DynamicRoutingManifest`
This declarative snapshot strictly binds to the Spatial routing geometry of the AI swarm without any kinetic execution properties.

```python
from uuid import UUID
from pydantic import BaseModel, Field, model_validator
from typing import List
from typing_extensions import Self

class DynamicRoutingManifest(BaseModel):
    manifest_cid: UUID = Field(..., description="The unique Content Identifier (CID) for this spatial coordinate.")
    allowed_nodes: List[UUID] = Field(..., description="The topologically permissible spatial routing targets.")

    model_config = {
        "frozen": True,
    }

    @model_validator(mode="after")
    def deterministic_spatial_sort(self) -> Self:
        # Paradigm 1: Unordered Sets (Must Be Sorted) enforcement to guarantee deterministic RFC 8785 hashing.
        object.__setattr__(self, "allowed_nodes", sorted(self.allowed_nodes))
        return self

# Instantiation Example
routing_state = DynamicRoutingManifest(
    manifest_cid=UUID("987e6543-e21b-12d3-a456-426614174000"),
    allowed_nodes=[
        UUID("550e8400-e29b-41d4-a716-446655440000"),
        UUID("123e4567-e89b-12d3-a456-426614174000")
    ]
)
```
