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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Perceptual minimum-mismatch filter

XOR can form a bit mismatch pattern, and an argmin circuit can select the candidate with the smallest mismatch score. The candidate library, score definition and tie rule determine what the filter recognizes.

Binary coherence filtersdocumented operator sketch
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eq-3d1e7c7693a79foperator definition sketch
Cperc=XOR+argmincircuitC_perc = XOR + argmin circuit

Read the equation

XOR can form a bit mismatch pattern, and an argmin circuit can select the candidate with the smallest mismatch score. The candidate library, score definition and tie rule determine what the filter recognizes.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

  1. Read C_perc as the quantity being defined or updated by this relation.

  2. Combines binary values with exclusive OR in the stated bit-level expression.

  3. Chooses an argument minimizing the displayed objective over the stated feasible set.

  4. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

Read the surrounding source passage
```
C_temp   = XOR + POPCOUNT + conditional mask
C_bayes  = comparator + AND mask
C_perc   = XOR + argmin circuit
C_pred   = XOR + threshold + bit adjust
C_dist   = parallel AND/OR (majority)
C_pair   = XNOR or AND/OR per bit
C_helix  = shift register with period T
C_layer  = lookup table or Boolean net
C_logic  = SAT solver (minimal bit repair)
```
Exact original notation
C_perc   = XOR + argmin circuit

Related builds

Sources & provenance

01
Complete_Consciousness_Equation_Notes_RAW.txt
line 466 · Jul 21, 2026
C_perc = XOR + argmin circuit

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