Shunyaya Symbolic Mathematical Hardware — Roadmap: Software Today, Silicon Tomorrow (12)

12.1 — Near-term (0–3 months)
• Conformance pack. Ship E1..E12 gates, golden vectors, and a CI harness that emits conformance_checksum.
• Reference libs. Minimal APIs for clamp_a, maps u := atanh(a) and a := tanh(u), M2 combine (a_mul, a_div), U/W streaming, and the alignment-only gate a_env; adapters for Python/C/C++/Rust.
• Read-only pilots. Enable the lane on 3–5 KPIs per domain; operator dashboards show value + band; stamps and manifests live.
Exit criteria. All E1..E12 PASS, operators trained, stamped logs flowing, no actuator code references a, reproducibility packet archived per KPI.


12.2 — Mid-term (3–9 months)
• Advisory hooks. Gain shaping, debouncing, smoothing keyed to bands in non-critical paths (k_eff := k_nom * f_band(a)).
• FPGA soft-IP. SSM-ALU + SSACC with MMIO knobs and a tiny ISA (scalar first, small SIMD next). Fixed-point Q-formats Q1.15/Q5.11/Q9.7; LUT+poly for tanh/atanh; envelope tested by E8/E10.
• Pilot economics. Publish energy/fuel/ops-time deltas with stamped KPI logs and per-day anchors.
• Toolchain adapters. ROS 2, AUTOSAR, PLC function blocks, OPC UA nodes, Kafka/TSDB schemas aligned with m,a,band.
Exit criteria. Documented savings on at least two levers; advisory hooks reversible in staging; FPGA bring-up matches software within q_rtol.


12.3 — Longer-term (9–18 months)
• ASIC tiles. Integrate with DSP/NIC/observability blocks; keep semantics identical to software: phi((m,a)) = m, a bounded, U/W order-invariant.
• A-MAC inference. Carry alignment through multiplies and streaming sums in edge AI; publish per-tensor bands; expose a_out on telemetry.
• Standardization. Public spec for ports, manifests, bands, and conformance; lane-only arithmetic IP and a minimal compliance suite.
Exit criteria. ASIC emulation equals reference outputs; external conformance suite green; public spec published and versioned.


12.4 — Milestones and deliverables (ASCII)
P0 — 0–1 mo — E1..E12 scripts; golden vectors; CSV/manifest templates; CLI
P1 — 1–3 mo — Python/C/C++/Rust refs; dashboards (value+band); pilot logs
P2 — 3–6 mo — Advisory hooks pack; ROS2/AUTOSAR/PLC shims; TSDB exporters
P3 — 6–9 mo — FPGA soft-IP (SSM-ALU + SSACC); Q-format LUTs; CI-on-silicon
P4 — 9–12 mo — ASIC tile RTL draft; emulation parity; conformance harness
P5 — 12–18 mo — Public spec; external test suite; licensing kit; case studies


12.5 — Risks and mitigations
• Band flicker around thresholds → ensure band_step >= 4*|delta_a| and hysteresis; verify E8 for the chosen Q-format.
• Batch vs stream mismatches → enforce exact {U,W} discipline; verify E5/E11 on shuffled/backfilled samples.
• Silent actuator coupling to a → advisory-only policy; promote to control only via an approved safety case.
• Quantization drift in RTL → lock LUT/poly error budgets; gate with E10.
• Schema drift across stacks → freeze minimal contracts (m,a,band) and lint via CI.


12.6 — Phase gates (Go/No-Go by stage)
Gate P0→P1. E1..E12 PASS, docs/templates frozen, operators trained.
Gate P1→P2. Pilot savings detected on live logs; zero regressions in value lane (phi checks clean).
Gate P2→P3. FPGA parity vs software within q_rtol; hooks reversible under load; rollback proven.
Gate P3→P4. Emulation parity; power/area prelims within targets; CI on silicon green.
Gate P4→P5. External suite green; spec public; IP licensing and governance ready.


Roadmap at a glance (ASCII)
• Software refs: Q0–Q2
• Advisory pilots: Q1–Q2
• FPGA IP: Q2–Q3
• ASIC tiles: Q3–Q4
• Spec & standard: Q4–Q5


Summary
Deliver now in software (read-only, advisory), then lift identical semantics into silicon. Keep everything collapse-safe and order-invariant: phi((m,a)) = m, a := clamp(a, -1+eps_a, +1-eps_a), u := atanh(a), a := tanh(u), streaming a_out := tanh(U/max(W,eps_w)).


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Directory of Pages
SSMH – Table of Contents


Explore Further
https://github.com/OMPSHUNYAYA/Symbolic-Mathematical-Hardware


Disclaimer
The contents in the Shunyaya Symbolic Mathematical Hardware (SSMH) materials are research/observation material. They are not engineering advice, not a safety standard or certification, and not operational guidance. Do not use for safety-critical, medical, legal, or financial decisions. Use at your own discretion; no warranties are provided; results depend on correct implementation and inputs.