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66 lines
2.1 KiB
Text
66 lines
2.1 KiB
Text
import Semantics.FixedPoint
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import Semantics.Canon
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namespace Semantics.Transition
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/--
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The Regime type represents the operational mode of the substrate.
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-/
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inductive Regime
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| GROUNDED -- Steady state, phonon stratum
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| SEISMIC -- Entropic harvesting, exploration
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| FLAME -- Structural emergency, silicon stratum
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deriving Repr, BEq, DecidableEq
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/--
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Signature: 4-bit nibble summary from the Hutter extraction.
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-/
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structure Signature where
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s1 : UInt8
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s2 : UInt8
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s3 : UInt8
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s4 : UInt8
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/--
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Telemetry: Hardware/environmental feedback fields.
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-/
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structure Telemetry where
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drift : Q16_16
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curvature : Q16_16
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entropy : Q16_16
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/--
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Priority: Task-layer weights (e.g. from Linear/Notion).
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-/
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structure Priority where
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weight : Q16_16
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/--
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The Route Function: $route(sig(S_t), telemetry, priority)$
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Selects the target regime based on cellular signal and substrate feedback.
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-/
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def route (sig : Signature) (tel : Telemetry) (prio : Priority) : Regime :=
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-- If entropy is extremely high, promote to FLAME (Emergency)
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if Q16_16.ge tel.entropy (Q16_16.mk 0x00050000) then .FLAME -- 5.0 entropy
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-- If curvature is high or priority is elevated, enter SEISMIC (Exploration)
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else if Q16_16.ge tel.curvature (Q16_16.mk 0x00010000) || Q16_16.ge prio.weight (Q16_16.mk 0x00020000) then .SEISMIC
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-- Default to GROUNDED (Steady state)
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else .GROUNDED
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/--
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The Apply Function: $apply(regime)$
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Executes the state transition and generates the next canonical state.
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-/
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def apply (regime : Regime) (prev : CanonicalState) : CanonicalState :=
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match regime with
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| .GROUNDED => { prev with mode := .commit, tau := Q16_16.mk 0x00001000 } -- Low tension
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| .SEISMIC => { prev with mode := .hold, tau := Q16_16.mk 0x00008000 } -- Medium tension
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| .FLAME => { prev with mode := .flame, tau := Q16_16.mk 0x00020000 } -- High tension
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/--
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The Dynamic Transition Law: $S_{t+1} = apply(route(sig(S_t), telemetry, priority))$
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-/
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def step (sig : Signature) (tel : Telemetry) (prio : Priority) (curr : CanonicalState) : CanonicalState :=
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apply (route sig tel prio) curr
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end Semantics.Transition
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