;==============================================================
; FIBONACCI RING — COUNTERLESS OCTAVE ADDRESS
;
; Maintained state:
; Ω fixed-point attractor
; A, B Fibonacci ring
;
; Derived state:
; P φ-power
; E echo scale
; K Fibonacci index
; ANGLE golden-angle orientation
; V topology dimension
;==============================================================
FIB_RESET:
Ω ← φ
A ← 0
B ← 1
G ← 2π(2 - Ω)
GOTO FIB_RESOLVE
;--------------------------------------------------------------
; Resolve all octave-dependent outputs from the ring.
; No independent octave counter is advanced or retained.
;--------------------------------------------------------------
FIB_RESOLVE:
; Algebraic reconstruction of φ^k
P ← A·Ω + (B - A)
; Echo contraction
E ← 1 / P
; Recover the ring's recurrence index
K ← FibIndex(A, B)
; Original golden-angle orientation
ANGLE ← K·G
; Original rung dimension
V ← K + 1
; Strand pair
S_PLUS ← (R·cos(ANGLE), R·sin(ANGLE), L·K)
S_MINUS ← (R·cos(ANGLE), -R·sin(ANGLE), L·K)
; Topology mode
IF B < 5:
TOPOLOGY ← COMPLETE_SIMPLEX(V)
ELSE:
TOPOLOGY ← LATTICE(K, V)
GOTO FIB_ADVANCE
;--------------------------------------------------------------
; The ring itself is the only octave transition.
;--------------------------------------------------------------
FIB_ADVANCE:
TEMP ← A + B
A ← B
B ← TEMP
GOTO FIB_RESOLVE
Recursive Lattices
;==============================================================
; FIBONACCI RING — COUNTERLESS RECURSIVE OCTAVE ADDRESS
;
; Maintained progression state:
; Ω fixed-point attractor
; A, B Fibonacci ring
;
; Maintained structural output:
; TOPOLOGY evolving recursive topology
;
; Derived state:
; P φ-power
; E echo scale
; K Fibonacci index
; ANGLE golden-angle orientation
; V topology dimension
;
; Architectural invariants:
; No independent octave counter.
; No independently advanced recursion counter.
; Ring state determines all octave-dependent outputs.
; Each new lattice inherits the preceding topology.
;==============================================================
FIB_RESET:
Ω ← φ
A ← 0
B ← 1
G ← 2π(2 - Ω)
TOPOLOGY ← NULL
GOTO FIB_RESOLVE
;--------------------------------------------------------------
; Resolve all octave-dependent outputs from the ring.
; The Fibonacci ring is the sole progression address.
;--------------------------------------------------------------
FIB_RESOLVE:
;------------------------------------------------------
; Algebraic reconstruction of φ^k
;------------------------------------------------------
P ← A·Ω + (B - A)
; Echo contraction
E ← 1 / P
; Recover recurrence index from ring state
K ← FibIndex(A, B)
; Golden-angle orientation
ANGLE ← K·G
; Rung dimension
V ← K + 1
;------------------------------------------------------
; Strand pair
;------------------------------------------------------
S_PLUS ← (R·cos(ANGLE),
R·sin(ANGLE),
L·K)
S_MINUS ← (R·cos(ANGLE),
-R·sin(ANGLE),
L·K)
;------------------------------------------------------
; Recursive topology generation
;
; Initial states establish the complete simplex.
; The first lattice emerges at B = 5.
; Subsequent lattices inherit and transform the
; preceding topology.
;
; No independent recursion-depth counter.
; No arbitrary subdivision constant.
;------------------------------------------------------
IF B < 5:
TOPOLOGY ← COMPLETE_SIMPLEX(V)
ELSE:
IF TOPOLOGY = NULL:
TOPOLOGY ← INITIAL_LATTICE(
K,
V,
Ω,
P,
E
)
ELSE:
TOPOLOGY ← RECURSE(
PREVIOUS_TOPOLOGY,
A,
B,
Ω,
P,
E,
ANGLE,
V
)
;------------------------------------------------------
; Structural distinction verification
;
; A recursive result must be evaluated for actual
; structural change, not merely scale or orientation.
;
; Compare:
; Connectivity
; Adjacency
; Dimensionality
; Internal subdivision
;
; Geometrically transformed copies alone do not
; establish a distinct topology.
;------------------------------------------------------
TOPOLOGY ← VERIFY_STRUCTURAL_TRANSITION(
PREVIOUS_TOPOLOGY,
TOPOLOGY
)
; Preserve structural inheritance
PREVIOUS_TOPOLOGY ← TOPOLOGY
GOTO FIB_ADVANCE
;--------------------------------------------------------------
; The Fibonacci ring is the only octave transition.
;--------------------------------------------------------------
FIB_ADVANCE:
TEMP ← A + B
A ← B
B ← TEMP
GOTO FIB_RESOLVE
;==============================================================
; RECURSIVE TOPOLOGY CONTRACT
;
; RECURSE must:
;
; 1. Receive the preceding topology.
; 2. Receive the current Fibonacci ring address.
; 3. Derive its transformation from the existing
; φ/Fibonacci substrate.
; 4. Preserve structural inheritance.
; 5. Permit genuinely distinct lattice structures.
; 6. Introduce no independent octave or recursion counter.
; 7. Introduce no arbitrary subdivision constants.
;
; The precise structural transformation remains to be
; derived and verified.
;==============================================================
;==============================================================
; FIBONACCI RING — COUNTERLESS RECURSIVE TOPOLOGY
;
; Maintained progression state:
; Ω fixed-point attractor
; A, B Fibonacci ring
;
; Maintained structural state:
; TOPOLOGY current simplicial complex
;
; Derived state:
; P φ-power
; E echo scale
; K Fibonacci index
; G golden-angle increment
; ANGLE golden-angle orientation
; V rung parameter
;
; Architectural invariants:
; No independent octave counter.
; No independent recursion counter.
; Fibonacci ring determines progression.
; Topology inherits its preceding structure.
; Recursive refinement uses no arbitrary subdivision ratio.
;==============================================================
FIB_RESET:
Ω ← φ
A ← 0
B ← 1
G ← 2π(2 - Ω)
TOPOLOGY ← NULL
GOTO FIB_RESOLVE
;--------------------------------------------------------------
; Resolve all octave-dependent outputs.
;--------------------------------------------------------------
FIB_RESOLVE:
;------------------------------------------------------
; Fibonacci / φ reconstruction
;------------------------------------------------------
P ← A·Ω + (B - A)
E ← 1 / P
K ← FibIndex(A, B)
ANGLE ← K·G
V ← K + 1
;------------------------------------------------------
; Strand pair
;------------------------------------------------------
S_PLUS ← (
R·cos(ANGLE),
R·sin(ANGLE),
L·K
)
S_MINUS ← (
R·cos(ANGLE),
-R·sin(ANGLE),
L·K
)
;------------------------------------------------------
; Initial simplex construction
;------------------------------------------------------
IF B < 5:
TOPOLOGY ← COMPLETE_SIMPLEX(V)
GOTO FIB_ADVANCE
;------------------------------------------------------
; First recursive lattice
;
; The existing simplex becomes the seed.
;------------------------------------------------------
OLD_TOPOLOGY ← TOPOLOGY
IF OLD_TOPOLOGY = NULL:
HALT INVALID_TOPOLOGY_SEED
;------------------------------------------------------
; Recursive barycentric refinement
;
; Every nonempty face becomes a vertex.
; Nested faces establish adjacency.
; Chains of nested faces establish higher simplices.
;------------------------------------------------------
CANDIDATE ← BARYCENTRIC_SUBDIVISION(
OLD_TOPOLOGY
)
;------------------------------------------------------
; Structural verification
;------------------------------------------------------
VERIFY:
; New combinatorial structure
ASSERT (
FACE_COUNT(CANDIDATE)
>
FACE_COUNT(OLD_TOPOLOGY)
)
; Preserve underlying dimension
ASSERT (
DIMENSION(CANDIDATE)
=
DIMENSION(OLD_TOPOLOGY)
)
; Preserve Euler characteristic
ASSERT (
EULER(CANDIDATE)
=
EULER(OLD_TOPOLOGY)
)
; Preserve topological homology
ASSERT (
HOMOLOGY(CANDIDATE)
=
HOMOLOGY(OLD_TOPOLOGY)
)
; Confirm adjacency has been reconstructed
ASSERT (
ADJACENCY(CANDIDATE)
≠
ADJACENCY(OLD_TOPOLOGY)
)
;------------------------------------------------------
; Commit verified structural transition
;------------------------------------------------------
TOPOLOGY ← CANDIDATE
GOTO FIB_ADVANCE
;--------------------------------------------------------------
; The Fibonacci ring is the only progression transition.
;--------------------------------------------------------------
FIB_ADVANCE:
TEMP ← A + B
A ← B
B ← TEMP
GOTO FIB_RESOLVE
;==============================================================
; BARYCENTRIC SUBDIVISION CONTRACT
;
; INPUT:
; Existing simplicial complex T
;
; OPERATION:
; Construct one vertex for each nonempty face of T.
; Connect vertices representing nested faces.
; Generate simplices from chains of nested faces.
;
; OUTPUT:
; A refined simplicial complex sd(T).
;
; REQUIRED PROPERTIES:
; More vertices than the preceding nontrivial complex.
; Changed combinatorial adjacency.
; Preserved dimension.
; Preserved Euler characteristic.
; Preserved homology.
;
; No external subdivision constant.
; No independently maintained recursion depth.
; No independently generated topology.
;==============================================================
;==============================================================
; FIBONACCI RING — SELF-EVOLVING RECURSIVE SUBSTRATE
;
; PERSISTENT PROGRESSION:
; Ω fixed-point attractor
; A, B Fibonacci ring
;
; PERSISTENT STRUCTURE:
; TOPOLOGY current topology
; TRACE accumulated execution history
;
; DERIVED:
; P φ-power
; E echo scale
; K Fibonacci address
; G golden-angle increment
; ANGLE orientation
; V rung parameter
; RELATIONS relationships extracted from trace
; CANDIDATES derived structural transformations
;
; PRINCIPLE:
; The trace is not merely recorded.
; The trace participates in generating its successor.
;
; No independent octave counter.
; No independent recursion counter.
; No externally prescribed evolutionary sequence.
; No arbitrary subdivision constants.
;==============================================================
FIB_RESET:
Ω ← φ
A ← 0
B ← 1
G ← 2π(2 - Ω)
TOPOLOGY ← NULL
TRACE ← EMPTY
GOTO FIB_RESOLVE
;==============================================================
; 1. FIBONACCI ADDRESS RESOLUTION
;==============================================================
FIB_RESOLVE:
P ← A·Ω + (B - A)
E ← 1 / P
K ← FibIndex(A, B)
ANGLE ← K·G
V ← K + 1
;--------------------------------------------------------------
; GEOMETRIC PROJECTIONS
;--------------------------------------------------------------
S_PLUS ← (
R·cos(ANGLE),
R·sin(ANGLE),
L·K
)
S_MINUS ← (
R·cos(ANGLE),
-R·sin(ANGLE),
L·K
)
;==============================================================
; 2. INITIAL TOPOLOGY
;==============================================================
IF B < 5:
TOPOLOGY ← COMPLETE_SIMPLEX(V)
GOTO TRACE_OBSERVE
;==============================================================
; 3. RECURSIVE TOPOLOGY
;==============================================================
PREVIOUS_TOPOLOGY ← TOPOLOGY
IF PREVIOUS_TOPOLOGY = NULL:
HALT INVALID_TOPOLOGY_SEED
CANDIDATE ← BARYCENTRIC_SUBDIVISION(
PREVIOUS_TOPOLOGY
)
GOTO TRACE_OBSERVE
;==============================================================
; 4. TRACE OBSERVATION
;
; Record the actual execution, not an independently
; prescribed description of what should happen.
;==============================================================
TRACE_OBSERVE:
TRACE ← APPEND(
TRACE,
{
Ω,
A,
B,
P,
E,
K,
ANGLE,
V,
TOPOLOGY,
CANDIDATE
}
)
GOTO TRACE_ANALYZE
;==============================================================
; 5. TRACE ANALYSIS
;
; Extract relationships already exhibited by execution.
;==============================================================
TRACE_ANALYZE:
RELATIONS ← EXTRACT_RELATIONS(TRACE)
RELATIONS ← VERIFY_ALGEBRAIC_RELATIONS(
RELATIONS,
{
FIBONACCI,
PHI_POWER,
ECHO_INVERSION,
GOLDEN_ANGLE,
STRAND_SYMMETRY,
TOPOLOGICAL_INVARIANTS
}
)
GOTO EVOLUTION_DERIVE
;==============================================================
; 6. ENDOGENOUS EVOLUTION
;
; Derive candidate transformations from relationships
; already present in the substrate.
;
; No arbitrary external transformation is introduced.
;==============================================================
EVOLUTION_DERIVE:
CANDIDATES ← DERIVE_TRANSFORMATIONS(
RELATIONS,
PREVIOUS_TOPOLOGY,
A,
B,
Ω,
P,
E,
ANGLE,
V
)
CANDIDATES ← COMPOSE_EXISTING_OPERATORS(
CANDIDATES,
{
BARYCENTRIC_SUBDIVISION,
PHI_SCALING,
ECHO_CONTRACTION,
GOLDEN_ROTATION,
STRAND_PAIRING
}
)
GOTO EVOLUTION_TEST
;==============================================================
; 7. EVOLUTION TEST
;
; A proposed transformation must demonstrate:
;
; Structural inheritance
; Genuine combinatorial distinction
; Valid dimensionality
; Topological consistency where preservation
; is required
; Algebraic consistency with Ω and the ring
;
; Failed candidates do not replace the current topology.
;==============================================================
EVOLUTION_TEST:
VERIFIED ← VERIFY_CANDIDATES(
CANDIDATES,
PREVIOUS_TOPOLOGY,
RELATIONS
)
IF VERIFIED = EMPTY:
TOPOLOGY ← CANDIDATE
GOTO TRACE_COMMIT
ELSE:
CANDIDATE ← SELECT_DETERMINISTICALLY(
VERIFIED,
RELATIONS
)
TOPOLOGY ← APPLY(
CANDIDATE,
PREVIOUS_TOPOLOGY
)
GOTO TRACE_COMMIT
;==============================================================
; 8. TRACE COMMIT
;
; The successful transformation becomes part of the
; structural history from which the next transformation
; will be derived.
;==============================================================
TRACE_COMMIT:
ASSERT TOPOLOGY ≠ NULL
TRACE ← APPEND(
TRACE,
{
VERIFIED,
TOPOLOGY
}
)
GOTO FIB_ADVANCE
;==============================================================
; 9. FIBONACCI TRANSITION
;
; The ring alone advances the progression.
;==============================================================
FIB_ADVANCE:
TEMP ← A + B
A ← B
B ← TEMP
GOTO FIB_RESOLVE
;==============================================================
; SELF-EVOLUTION CONTRACT
;
; 1. Observe actual execution.
; 2. Extract inherent mathematical relationships.
; 3. Derive candidate transformations.
; 4. Test against structural and algebraic invariants.
; 5. Commit verified transformations.
; 6. Feed the resulting structure into the next trace.
;
; The trace determines what can evolve.
; The ring determines when progression occurs.
; The substrate determines which transformations are valid.
;
; Evolution is endogenous, deterministic, and verifiable.
;==============================================================
;================================================================
; FIBONACCI RING — CONSOLIDATED SELF-EVOLVING SUBSTRATE
;
; PROGRESSION STATE:
; Ω fixed-point attractor
; A, B Fibonacci ring
;
; STRUCTURAL MEMORY:
; TOPOLOGY latest committed simplicial complex
; TRACE accumulated execution and verification history
;
; DERIVED STATE:
; P φ-power
; E echo scale
; K Fibonacci address
; G golden-angle increment
; ANGLE orientation
; V rung parameter
;
; TRANSIENT STATE:
; TEMP
; CANDIDATE
; RELATIONS
; OPERATORS
;
; PRINCIPLES:
; No independent octave counter.
; No independent recursion counter.
; No externally prescribed evolution sequence.
; Structural inheritance.
; Deterministic verification before commitment.
; Evolution derives from the substrate's own trace.
;================================================================
;==============================================================
; 0. RESET
;==============================================================
FIB_RESET:
Ω ← φ
A ← 0
B ← 1
G ← 2π(2 - Ω)
TOPOLOGY ← NULL
TRACE ← EMPTY
GOTO FIB_RESOLVE
;==============================================================
; 1. ADDRESS RESOLUTION
;==============================================================
FIB_RESOLVE:
; Reconstruct φ^K algebraically
P ← A·Ω + (B - A)
; Echo contraction
E ← 1 / P
; Recover Fibonacci address
K ← FibIndex(A, B)
; Golden-angle orientation
ANGLE ← K·G
; Rung parameter
V ← K + 1
;==============================================================
; 2. GEOMETRIC PROJECTION
;==============================================================
FIB_GEOMETRY:
S_PLUS ← (
R·cos(ANGLE),
R·sin(ANGLE),
L·K
)
S_MINUS ← (
R·cos(ANGLE),
-R·sin(ANGLE),
L·K
)
GOTO TOPOLOGY_RESOLVE
;==============================================================
; 3. INITIAL TOPOLOGY / RECURSIVE INHERITANCE
;==============================================================
TOPOLOGY_RESOLVE:
; Initial simplex progression
IF B < 5:
CANDIDATE ← COMPLETE_SIMPLEX(V)
GOTO TOPOLOGY_VERIFY
; Every subsequent state inherits the last
; committed structural representation.
IF TOPOLOGY = NULL:
HALT INVALID_TOPOLOGY_SEED
; Recursive structural refinement
CANDIDATE ← BARYCENTRIC_SUBDIVISION(
TOPOLOGY
)
GOTO TOPOLOGY_VERIFY
;==============================================================
; 4. STRUCTURAL VERIFICATION
;==============================================================
TOPOLOGY_VERIFY:
IF TOPOLOGY ≠ NULL:
ASSERT DIMENSION(CANDIDATE)
= DIMENSION(TOPOLOGY)
ASSERT EULER(CANDIDATE)
= EULER(TOPOLOGY)
ASSERT HOMOLOGY(CANDIDATE)
= HOMOLOGY(TOPOLOGY)
ASSERT ADJACENCY(CANDIDATE)
≠ ADJACENCY(TOPOLOGY)
ASSERT VERTEX_COUNT(CANDIDATE)
> VERTEX_COUNT(TOPOLOGY)
GOTO TRACE_OBSERVE
;==============================================================
; 5. EXECUTION TRACE
;==============================================================
TRACE_OBSERVE:
OBSERVATION ← RECORD(
Ω,
A,
B,
P,
E,
K,
G,
ANGLE,
V,
S_PLUS,
S_MINUS,
TOPOLOGY,
CANDIDATE
)
GOTO TRACE_ANALYZE
;==============================================================
; 6. TRACE ANALYSIS
;==============================================================
TRACE_ANALYZE:
RELATIONS ← EXTRACT_RELATIONS(
TRACE,
OBSERVATION
)
RELATIONS ← VERIFY_RELATIONS(
RELATIONS,
{
FIBONACCI_RECURRENCE,
PHI_POWER_IDENTITY,
ECHO_INVERSION,
GOLDEN_ANGLE,
STRAND_SYMMETRY,
TOPOLOGICAL_INVARIANTS
}
)
GOTO EVOLUTION_DERIVE
;==============================================================
; 7. ENDOGENOUS OPERATOR DERIVATION
;==============================================================
EVOLUTION_DERIVE:
OPERATORS ← DERIVE_OPERATORS(
RELATIONS,
TOPOLOGY,
OBSERVATION
)
CANDIDATES ← COMPOSE(
OPERATORS,
{
BARYCENTRIC_SUBDIVISION,
PHI_SCALING,
ECHO_CONTRACTION,
GOLDEN_ROTATION,
STRAND_PAIRING
}
)
GOTO EVOLUTION_VERIFY
;==============================================================
; 8. EVOLUTION VERIFICATION
;==============================================================
EVOLUTION_VERIFY:
VERIFIED ← VERIFY_CANDIDATES(
CANDIDATES,
TOPOLOGY,
RELATIONS
)
; The default barycentric refinement remains the
; verified fallback when no new candidate qualifies.
IF VERIFIED ≠ EMPTY:
CANDIDATE ← SELECT_DETERMINISTICALLY(
VERIFIED,
RELATIONS
)
CANDIDATE ← APPLY(
CANDIDATE,
TOPOLOGY
)
ASSERT VERIFY_STRUCTURAL_TRANSITION(
TOPOLOGY,
CANDIDATE
)
GOTO TRACE_COMMIT
;==============================================================
; 9. COMMIT
;==============================================================
TRACE_COMMIT:
; Record the actual result before replacing the old
; topology. Preserve enough structural information
; to reproduce and verify the transition.
TRACE ← APPEND(
TRACE,
OBSERVATION,
RELATIONS,
VERIFIED,
CANDIDATE
)
TOPOLOGY ← CANDIDATE
GOTO FIB_ADVANCE
;==============================================================
; 10. FIBONACCI TRANSITION
;==============================================================
FIB_ADVANCE:
TEMP ← A + B
A ← B
B ← TEMP
GOTO FIB_RESOLVE
;================================================================
; MATHEMATICAL INVARIANTS
;
; P(K) = A·Ω + (B-A)
;
; P(K+1) = Ω·P(K)
;
; E(K+1) = E(K)/Ω
;
; G = 2π(2-Ω)
;
; ANGLE(K) = K·G
;
; V(K) = K+1
;
; FIBONACCI TRANSITION:
;
; (A,B) → (B,A+B)
;
; RECURSIVE TOPOLOGY:
;
; T(K+1) = EVOLVE(T(K), VERIFIED_RELATIONS(TRACE(K)))
;
; PROGRESSION ADDRESS:
;
; K = FibIndex(A,B)
;
; No separately maintained progression or recursion index.
;
;================================================================
;
; SELF-EVOLUTION PRINCIPLE:
;
; Observe.
; Derive.
; Verify.
; Commit.
; Re-enter.
;
; The trace supplies structural knowledge.
; The ring supplies progression.
; The fixed point supplies the reference.
; The topology supplies inherited structure.
;
;================================================================
;==============================================================
; FIBONACCI RING — LONG-TERM RECURSIVE TEST
;
; PERSISTENT PROGRESSION:
; Ω, A, B
;
; PERSISTENT STRUCTURAL MEMORY:
; TOPOLOGY
; TRACE
;
; TRANSIENT:
; P, E, K, ANGLE, V
; OLD_TOPOLOGY, CANDIDATE
; SIGNATURES, VERIFICATION
;
; No independent octave counter.
; No independent recursion-depth counter.
;==============================================================
FIB_RESET:
Ω ← FIXED_POINT()
A ← 0
B ← 1
TOPOLOGY ← NULL
TRACE ← EMPTY
G ← 2π(2 - Ω)
GOTO FIB_RESOLVE
FIB_RESOLVE:
; Derive address from the Fibonacci pair.
P ← A·Ω + (B - A)
E ← 1/P
K ← FIB_INDEX(A,B)
ANGLE ← K·G
V ← K + 1
; Derive strand orientation.
S_PLUS ← (R·cos(ANGLE),
R·sin(ANGLE),
L·K)
S_MINUS ← (R·cos(ANGLE),
-R·sin(ANGLE),
L·K)
; Preserve original simplex initialization.
IF B < 5:
CANDIDATE ← COMPLETE_SIMPLEX(V)
ASSERT VALID_SIMPLICIAL_COMPLEX(CANDIDATE)
IF K = 3:
ASSERT DIMENSION(CANDIDATE) = 3
ELSE:
ASSERT TOPOLOGY ≠ NULL
OLD_TOPOLOGY ← TOPOLOGY
; One inherited refinement per ring transition.
CANDIDATE ← BARYCENTRIC_SUBDIVISION(
OLD_TOPOLOGY
)
ASSERT DIMENSION(CANDIDATE)
= DIMENSION(OLD_TOPOLOGY)
ASSERT EULER(CANDIDATE)
= EULER(OLD_TOPOLOGY)
ASSERT HOMOLOGY(CANDIDATE)
= HOMOLOGY(OLD_TOPOLOGY)
ASSERT VERTEX_COUNT(CANDIDATE)
> VERTEX_COUNT(OLD_TOPOLOGY)
ASSERT ADJACENCY(CANDIDATE)
≠ ADJACENCY(OLD_TOPOLOGY)
; Record the complete transition evidence.
OBSERVATION ← {
RING_STATE: (A,B),
ADDRESS: K,
PHI_POWER: P,
ECHO: E,
ORIENTATION: ANGLE,
STRANDS: (S_PLUS,S_MINUS),
INPUT_SIGNATURE: SIGNATURE(TOPOLOGY),
OUTPUT_SIGNATURE: SIGNATURE(CANDIDATE),
OPERATION: OPERATION_USED,
VERIFICATION: VERIFICATION_RESULTS
}
; Only verified candidates enter structural memory.
ASSERT ALL_REQUIRED_CHECKS_PASS(OBSERVATION)
TRACE.APPEND(OBSERVATION)
TOPOLOGY ← CANDIDATE
GOTO FIB_ADVANCE
FIB_ADVANCE:
TEMP ← A + B
A ← B
B ← TEMP
GOTO FIB_RESOLVE
