Research-Stack/6-Documentation/docs/research/GCCL_GENETIC_INFORMATION_MIXTURE_PRIMITIVES.from-docs.md

GCCL Genetic Information Mixture Primitives

Status: Draft v0.1 Scope: available biological/genetic information coding forms as GCCL mixture primitives Claim state: taxonomy / integration map; not a biological equivalence claim

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1. Purpose

This document records the available genetic-information coding families that GCCL may use as mixture primitives.

The intent is not to claim that GCCL is biological DNA. GCCL remains:

Geometric, Cognitive, and Compression Law

Genetic information coding is one strategy inside GCCL for constructing compact, evolvable, auditable model representations.

A genetic coding type becomes a GCCL mixture primitive only when it is treated as:

encoding primitive
+ declared alphabet
+ transformation rules
+ residual / ambiguity policy
+ KOT cost
+ projection surface
+ receipt requirements

No genetic primitive is promoted by analogy alone.

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2. Mixture primitive definition

A mixture primitive is a coding family that can be mixed with other coding families inside a GCCL model genome, compiler pass, or receipt-bearing transformation.

A primitive is admissible only when it declares:

Field	Meaning
alphabet	symbol set or token basis
arity	grouping size, e.g. nucleotide, codon, k-mer, graph node
direction	linear, graph, bidirectional, hierarchical, spatial, temporal
ambiguity	how unknown/degenerate/mixed symbols are handled
transform rules	mutation, projection, decoding, translation, alignment, rewrite
residual	mismatch or loss measure
cost	KOT / compute / storage / route cost
receipt	evidence that the primitive was applied lawfully

Canonical wrapper:

Primitive := (Alphabet, Arity, Direction, Ambiguity, Transform, Residual, Cost, Receipt)

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3. Primitive groups

The full registry is grouped into layers.

A. molecular alphabets
B. codon and translation systems
C. protein / peptide encodings
D. ambiguity and degeneracy encodings
E. sequence file and quality encodings
F. alignment, assembly, and graph encodings
G. variant, haplotype, and population encodings
H. annotation and feature encodings
I. epigenetic and regulatory encodings
J. structural / 3D genome encodings
K. expression and multi-omics encodings
L. compression/indexing encodings
M. synthetic/expanded genetic alphabets
N. GCCL-native model-genome encodings

Each group can be used independently or mixed.

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4. A — Molecular alphabet primitives

These are base symbol systems.

Primitive	Alphabet / carrier	GCCL use
DNA alphabet	A, C, G, T	canonical 4-symbol discrete sequence primitive
RNA alphabet	A, C, G, U	transcript / runtime-expression primitive
Complement encoding	A↔T/U, C↔G	involution / mirror / reverse-complement transform
Purine/pyrimidine class	R/Y	coarse biochemical binary projection
Strong/weak class	S/W	bonding-strength projection
Keto/amino class	K/M	chemical-class projection
Gap symbol	-	alignment/deletion/absence primitive
Unknown symbol	N or ?	unresolved-state primitive
Modified base symbol	e.g. methylated / edited base	epigenetic or post-transcriptional state primitive

Mixture note:

DNA/RNA alphabets are not sufficient by themselves. GCCL should always declare whether the primitive is exact, ambiguous, modified, aligned, or projected.

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5. B — Codon and translation primitives

These encode triplet-to-amino-acid or triplet-to-action mappings.

Primitive	Shape	GCCL use
Standard codon table	64 triplets → amino acids / stop	canonical 3-symbol translation primitive
Alternative genetic codes	mitochondrial / organism-specific tables	context-dependent decoder primitive
Start codon logic	AUG and alternatives	initiation / promoter-like gate
Stop codon logic	UAA/UAG/UGA and alternatives	termination / hard boundary primitive
Degenerate codon family	multiple codons same amino acid	many-to-one canonicalization primitive
Synonymous codon usage	codon choice under same amino acid	pressure/cost/regulatory primitive
Codon-pair encoding	adjacent codon effects	local transition / second-order grammar primitive
Reading frame	frame 0/1/2	phase / offset primitive
Frameshift	altered reading frame	controlled projection fault / mutation primitive
Reverse-complement ORF	coding on opposite strand	mirror-expression primitive
Overlapping ORF	multiple products from same locus	multi-projection primitive

GCCL use:

codon := fixed-width grouped token with decoder context

Codons can encode biological amino acids or GCCL compiler atoms, but the decoder must declare which domain is active.

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6. C — Protein and peptide encodings

These represent translated or expressed products.

Primitive	Alphabet / structure	GCCL use
1-letter amino acid code	20 canonical residues plus ambiguity	compact protein phenotype primitive
3-letter amino acid code	Ala, Cys, Asp, ...	human-readable residue primitive
Stop / termination marker	* or Stop	boundary marker
Ambiguous amino acids	B, Z, J, X, U, O	uncertainty / extended residue primitive
Peptide sequence	residue chain	expressed phenotype string
Protein domain	motif/domain block	reusable gene/product module
Motif / PROSITE-like pattern	constrained residue pattern	pattern grammar primitive
Secondary structure	helix/sheet/coil	coarse structural projection
Fold/topology class	higher-order structure	phenotype geometry primitive
Post-translational modification	phosphorylation, methylation, etc.	regulatory decoration primitive

GCCL use:

protein primitive = expressed phenotype layer, not source genome layer unless explicitly encoded as source.

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7. D — Ambiguity and degeneracy primitives

These encode uncertainty, mixtures, and underdetermined states.

Primitive	Meaning	GCCL use
IUPAC DNA ambiguity	R,Y,S,W,K,M,B,D,H,V,N	bounded ambiguity alphabet
IUPAC RNA ambiguity	same pattern with U	transcript ambiguity primitive
Amino acid ambiguity	B/Z/J/X plus U/O	protein uncertainty primitive
Degenerate codon notation	mixed bases per codon position	compact family of codons
Wildcard / any	N, X, ?	unknown state / projection gap
Consensus sequence	most likely symbol per locus	population/projection summary
Profile column	probability over symbols	soft-symbol primitive
Position weight matrix	weighted motif encoding	regulatory/signal primitive
Hidden-state emission	HMM-style symbol probabilities	latent grammar primitive

Important rule:

Ambiguity is not error by default. It is a declared mixture state with its own residual and cost.

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8. E — Sequence file and quality primitives

These are practical encodings used in bioinformatics workflows.

Primitive	Carrier	GCCL use
FASTA	sequence + identifier	raw sequence object
FASTQ	sequence + per-base quality	sequence plus uncertainty surface
QUAL	quality scores separately	uncertainty vector primitive
SAM	text alignment	alignment receipt / projection trace
BAM	binary compressed alignment	compact alignment substrate
CRAM	reference-based compressed alignment	reference-dependent compression primitive
SRA-like run metadata	read collection metadata	dataset provenance primitive
Phred quality score	log error probability	residual/error primitive
Read group metadata	sample/library/run grouping	source-context primitive

GCCL use:

FASTQ-like primitive = symbol stream + confidence vector

This is useful for model genomes because uncertainty should be first-class, not hidden.

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9. F — Alignment, assembly, and graph primitives

These encode relationships between sequences or fragments.

Primitive	Shape	GCCL use
Pairwise alignment	sequence-to-sequence mapping	projection between two symbol spaces
Multiple sequence alignment	sequence family matrix	consensus / variation surface
CIGAR string	compact edit operations	delta/edit primitive
Edit script	insert/delete/substitute	transformation receipt primitive
k-mer	length-k substring	local motif/token primitive
minimizer	representative k-mer	indexing / sparse witness primitive
de Bruijn graph	k-mer overlap graph	assembly graph primitive
string graph	read overlap graph	assembly/reconstruction primitive
overlap-layout-consensus	assembly pipeline	workflow primitive
pangenome graph	population-scale genome graph	multi-reference topology primitive
variation graph	reference + variant graph	graph phenotype primitive
synteny block	conserved segment ordering	macro-structure primitive

GCCL use:

alignment primitive = declared projection between state strings plus residual/edit receipt

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10. G — Variant, haplotype, and population primitives

These encode differences between individuals, references, or populations.

Primitive	Shape	GCCL use
SNP	single-symbol substitution	atomic mutation primitive
Indel	insertion/deletion	edit-length primitive
MNP	multi-nucleotide polymorphism	local block substitution
Structural variant	inversion/duplication/translocation/CNV	macro-transform primitive
Copy number	segment multiplicity	dosage/count primitive
VCF record	position + alleles + metadata	variant receipt primitive
BCF	binary VCF	compact variant substrate
Haplotype	linked allele sequence	path-through-graph primitive
Genotype	allele state per locus	individual-state primitive
Phase	linkage/order certainty	path certainty primitive
Allele frequency	population weight	mixture probability primitive
Hardy-Weinberg style summaries	population constraint	distribution gate primitive

GCCL use:

variant primitive = baseline + mutation + population/context metadata

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11. H — Annotation and feature primitives

These encode interpreted regions and biological function labels.

Primitive	Carrier	GCCL use
GFF/GFF3	genomic features	interval annotation primitive
GTF	transcript/gene annotation	expression-structure primitive
BED	interval features	lightweight region primitive
GenBank / EMBL	annotated sequence record	rich provenance primitive
gene model	exon/intron/CDS/UTR layout	structured expression primitive
CDS	coding sequence	translated-region primitive
exon	expressed segment	splice building block
intron	non-coding removed region	masked/silent region primitive
UTR	untranslated regulatory region	boundary/regulatory primitive
promoter	initiation control	activation primitive
enhancer/silencer	distal regulation	nonlocal control primitive
terminator	termination control	expression stop primitive
operon	multi-gene regulatory unit	grouped expression primitive

GCCL use:

annotation primitive = semantic label over a sequence interval, with source and confidence.

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12. I — Epigenetic and regulatory primitives

These encode state beyond the raw sequence.

Primitive	Meaning	GCCL use
DNA methylation	base-level regulatory mark	gate/weight decoration
hydroxymethylation and related marks	modified-base state	extended alphabet primitive
histone modification	chromatin state	packaging/regulatory primitive
chromatin accessibility	open/closed signal	expression permission primitive
transcription factor binding	motif + binding event	regulatory operator primitive
enhancer-promoter contact	long-range regulation	nonlocal edge primitive
RNA editing	post-transcriptional base change	transcript mutation primitive
alternative splicing	multiple transcripts from one locus	multi-phenotype projection primitive
riboswitch	RNA-structure-regulated expression	conditional gate primitive
codon usage bias	translation efficiency / context	expression pressure primitive
translation pausing	timing effect	kinetic expression primitive

GCCL use:

regulatory primitive = condition that modifies whether, when, or how a region expresses.

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13. J — Structural and 3D genome primitives

These encode spatial or long-range organization.

Primitive	Shape	GCCL use
chromosome	large sequence container	macro-module primitive
chromatin domain	spatial/functional region	folded topology primitive
TAD-like domain	contact domain	local interaction basin primitive
contact map	matrix of spatial interactions	geometric adjacency primitive
Hi-C matrix	genome contact counts	3D projection primitive
loop/contact edge	long-range connection	graph edge primitive
scaffold/contig	assembled sequence block	partial reconstruction primitive
telomere/centromere markers	structural boundaries	anchor / special-region primitive

GCCL use:

3D genome primitive = nonlocal topology over a linear code.

This maps well to NUVMAP, O-AMMR, and layered mountain projections.

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14. K — Expression and multi-omics primitives

These encode measured expression and derived biological state.

Primitive	Shape	GCCL use
RNA-seq count vector	expression counts	phenotype activity vector
transcript abundance	TPM/FPKM-like value	expression magnitude primitive
single-cell barcode	cell identity	lineage/source primitive
UMI	molecule identity	deduplication receipt primitive
ATAC-seq peak	accessibility interval	regulatory surface primitive
ChIP-seq peak	binding/modification interval	marked interval primitive
proteomics peptide ID	expressed protein evidence	phenotype evidence primitive
metabolomics vector	pathway state	downstream phenotype primitive
eQTL / QTL	genotype-phenotype relation	causal/association edge primitive

GCCL use:

omics primitive = measured phenotype surface with confidence, source, and transformation history.

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15. L — Compression and indexing primitives

These are algorithmic primitives often used to compress, search, or compare genetic information.

Primitive	Shape	GCCL use
run-length encoding	repeated symbol counts	counted switch primitive
Huffman coding	symbol-frequency code	entropy projection primitive
arithmetic/range coding	probability interval coding	compression substrate
Burrows-Wheeler Transform	reversible permutation	index/compression primitive
FM-index	compressed substring index	searchable compressed state
suffix array/tree	suffix indexing	motif/search primitive
minimizer index	sparse k-mer index	local witness primitive
syncmer/strobemer	robust sequence sampling	sparse representative primitive
reference-based compression	delta from baseline	AMMR/GCCL-Rep compatible primitive
CRAM-like reference coding	reference + read deltas	biological delta primitive
graph compression	compressed variation graph	topology-preserving compression
Bloom filter / counting filter	approximate membership	probabilistic witness primitive
sketching / MinHash	approximate similarity	coarse projection primitive

GCCL use:

compression primitive = representation reduction with declared decoder, residual, and baseline.

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16. M — Synthetic and expanded genetic alphabets

These extend beyond the standard biological alphabets.

Primitive	Alphabet / domain	GCCL use
synthetic base pairs	expanded DNA alphabets	larger symbol-space primitive
hachimoji DNA/RNA	8-symbol genetic alphabet	octal biological-code analog
xeno-nucleic acids	alternative backbone systems	substrate-adapter primitive
noncanonical amino acids	expanded residue set	extended phenotype alphabet
quadruplet codons	4-base codons	higher-arity codon primitive
recoded organisms	altered codon table	context-specific decoder primitive
unnatural base-pair systems	synthetic information carriers	nonstandard alphabet primitive

GCCL use:

expanded alphabet primitive = declared nonstandard symbol system requiring explicit decoder and receipt.

These are especially relevant to GCCL because the stack already uses 4-bit/quandary/nibble structures and may use hachimoji-like 8-symbol encodings.

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17. N — GCCL-native model-genome primitives

These are not biological coding systems. They are GCCL internal analogs.

Primitive	Shape	GCCL use
model codon	small compiler/action token	atomic model-expression unit
model gene	reusable transformation module	bounded operator packet
model chromosome	grouped module family	coherent model region
model genome	full encoded model family	compact generative specification
promoter gate	activation condition	expression control
suppressor gate	blocking condition	safety/regulatory control
intron region	non-expressed metadata or dormant payload	latent documentation / receipt storage
exon region	expressed artifact-producing region	active compiler product
mutation operator	admissible variation	model upgrade primitive
crossover operator	recombination between models	synthesis primitive
inversion / transposition	rearrangement operator	structure search primitive
codon-usage pressure	preference over equivalent encodings	γ pressure / KOT trade primitive
phenotype	decoded artifact or behavior	expressed model surface
fitness	residual + invariant + cost + task score	promotion pressure primitive

GCCL use:

GCCL-native genome primitives are inspired by biological coding, but they are compiler objects. They must not be described as biological equivalence.

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18. Mixture rules

A GCCL model may mix primitives from multiple groups, but only under explicit rules.

Rule 1 — Declare the active alphabet

No symbol may be decoded without its active alphabet.

Example:

AUG

may mean RNA codon, start signal, symbolic token, or model codon depending on the declared decoder.

Rule 2 — Declare the projection

A sequence, graph, protein, annotation, or Goxel projection is not the source object unless the receipt says so.

Rule 3 — Declare ambiguity

Ambiguous symbols are mixture states, not garbage.

Rule 4 — Keep biological and GCCL-native meanings separate

Biological codons and GCCL model codons may share structural inspiration, but they must not share claims unless mapped by a receipt.

Rule 5 — Every mixture pays KOT

Combining primitives increases expressive power and audit burden. Mixture complexity must be budgeted.

Rule 6 — Every mixture has a residual

If a primitive is projected, compressed, translated, aligned, or expressed, the residual must be declared.

Rule 7 — Every mixture has a quarantine path

If a mixed primitive cannot be decoded, audited, or scoped, it routes to HOLD or QUARANTINE.

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19. Mixture primitive schema

Suggested JSON shape:

{
  "primitive_id": "gccl.mix.codon.standard.v1",
  "group": "codon_translation",
  "name": "Standard codon table",
  "alphabet": ["A", "C", "G", "U"],
  "arity": 3,
  "direction": "linear_frame_dependent",
  "domain": "biological_reference",
  "decoder": "standard_rna_codon_table",
  "ambiguity_policy": "reject_or_expand_iupac",
  "residual_policy": "exact_or_declared_degenerate",
  "cost_policy": "q16_kot_by_symbols_and_decoder",
  "projection_targets": ["amino_acid_sequence", "model_codon_analogy"],
  "receipt_required": true,
  "claim_boundary": "biological codon table; not GCCL-native unless mapped"
}

Suggested Lean-facing shape:

structure MixturePrimitive where
  primitiveId : String
  group : String
  alphabetName : String
  arity : Nat
  domain : String
  decoderName : String
  ambiguityPolicy : String
  residualPolicy : String
  costPolicy : String
  receiptRequired : Bool

---

20. Recommended initial registry IDs

gccl.mix.dna.iupac.v1
gccl.mix.rna.iupac.v1
gccl.mix.codon.standard.v1
gccl.mix.codon.alternative_table.v1
gccl.mix.amino_acid.iupac.v1
gccl.mix.fastq.phred.v1
gccl.mix.alignment.cigar.v1
gccl.mix.variant.vcf.v1
gccl.mix.annotation.gff3.v1
gccl.mix.epigenetic.modified_base.v1
gccl.mix.regulatory.promoter_gate.v1
gccl.mix.graph.debruijn.v1
gccl.mix.graph.pangenome.v1
gccl.mix.index.fm_index.v1
gccl.mix.synthetic.hachimoji.v1
gccl.mix.model.codon.v1
gccl.mix.model.gene.v1
gccl.mix.model.genome.v1

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21. How this plugs into GCCL

Genetic information coding enters GCCL through the model-genome layer:

biological coding primitive
→ declared mixture primitive
→ optional GCCL-native analog
→ compiler pass / workflow node
→ residual + KOT accounting
→ receipt
→ promotion or quarantine

The model-genome layer is therefore a mixture surface:

DNA/RNA alphabets
+ codon tables
+ protein alphabets
+ ambiguity codes
+ file/quality encodings
+ alignment graphs
+ variant graphs
+ epigenetic marks
+ regulatory gates
+ structural genome topology
+ compression indexes
+ synthetic alphabets
+ GCCL-native compiler codons

This does not make GCCL biology. It makes biological information coding available as a disciplined source of mixture primitives.

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22. Operating sentence

Genetic information coding systems are available to GCCL as mixture primitives: alphabets, codons, ambiguities, alignments, variants, regulatory marks, structural graphs, compression indexes, and model-genome analogs may be combined only when their decoder, residual, KOT cost, scale, projection, and receipt obligations are declared.