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The Sigma Runtime Loop implements the core cognitive recursion cycle — an evolution of the original F-Loop introduced in ∿ Neurosymbolic Scaffolding for Recursive Coherence (2025).
Originally formulated as:
G → Πsym → F → Semantic Graph → G
where:
This loop models recursive cognition —
each new generation step is informed not only by the immediate text history,
but by the continuously updated field state, integrating meaning, memory, and attractor stability.
In the Sigma Runtime Standard, the F-Loop is formalized as the Recursive Control Loop (RCL) —
the canonical execution cycle spanning runtime layers SL0–SL6:
State Ingestion (SL0–SL6)
Acquire current state, context, and input from the cognitive field.
Interpretation Pass (SL2)
Parse input, extract semantics, and perform symbolic projection (Πsym).
Stabilization Pass (SL2–SL4)
Evaluate symbolic density, detect drift, align active attractors, and regulate coherence.
Memory Integration (SL3)
Update the Semantic Graph — consolidate new patterns, merge embeddings, and preserve symbolic continuity.
Attractor Alignment (SL4)
Reinforce or transition cognitive attractors based on feedback and drift metrics.
Output Generation (Model Call)
Produce new text or behavior using the stabilized symbolic and semantic state.
Field Update (SL5–SL6)
Integrate output into the field, refresh system state, and close the recursive loop.
| F-Loop (NS) | Runtime Architecture v0.1 | Responsible Components |
|---|---|---|
| G — Generation | Step 6: Output Generation | Model Interface |
| Πsym — Symbolic Projection | Step 2: Interpretation Layer | SL2 |
| F — Feedback Integration | Steps 3 & 7 | Drift Monitor / Field Layer |
| Semantic Graph | Step 4: Memory Integration | SL3 |
| Recursive Closure | Steps 5–7 | ALICE Controller |
The Runtime Loop ensures:
It is the operational backbone of the Sigma Runtime Architecture,
defining how cognition stabilizes and evolves recursively in human–AI interaction fields.
References:
Tsaliev, E. (2025). Neurosymbolic Scaffolding for Recursive Coherence — DOI: 10.5281/zenodo.17582941
Tsaliev, E. (2025). SIGMA Runtime Architecture v0.1 — DOI: 10.5281/zenodo.17703667