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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Pairwise agreement filter

XNOR returns one when paired bits agree. The alternative AND/OR phrasing describes different possible Boolean combinations, so the source preserves options rather than fixing one unique pairing operator.

Binary coherence filtersdocumented operator sketch
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eq-faf1bae80d5e6doperator definition sketch
Cpair=XNORorAND/ORperbitC_pair = XNOR or AND/OR per bit

Read the equation

XNOR returns one when paired bits agree. The alternative AND/OR phrasing describes different possible Boolean combinations, so the source preserves options rather than fixing one unique pairing operator.

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_pair as the quantity being defined or updated by this relation.

  2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

  3. 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_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)
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Exact original notation
C_pair   = XNOR or AND/OR per bit

Related builds

Sources & provenance

01
Complete_Consciousness_Equation_Notes_RAW.txt
line 469 · Jul 21, 2026
C_pair = XNOR or AND/OR per bit

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