MarkovJunior 16D PIST Rewrite Shim

Purpose

Add a shim that treats MarkovJunior-style rewrite programs as 16D FAMM/PIST/NUVMAP objects.

This is an adapter, not a replacement for MarkovJunior. MarkovJunior provides the rewrite-rule grammar and constraint-propagation style. The shim projects those rules into the current project stack:

MarkovJunior rule
→ 16D rewrite anchor
→ PIST transition candidate
→ FAMM scar/residual accounting
→ NUVMAP rewrite-basin address
→ Delta-DAG replay edge
→ BJW cleanup / exact receipt

Why MarkovJunior fits

MarkovJunior programs are built from rewrite rules. In basic form, a program is an ordered list of rewrite rules. A rule match is selected and applied on the grid, and the process halts when no rules match. MarkovJunior also supports probabilistic inference through constraint propagation.

Project translation:

rewrite rule       = PIST surface-transition operator
rule match         = local state crossing
changed cells      = delta edge
failed constraint  = FAMM scar
inference field    = Semantic Mass / route pressure
trace              = NUVMAP Delta-DAG

16D rewrite state

X_{\mathrm{MJ}}
=
[
\nu,
s,
m_L,
m_\Delta,
h_{\mathrm{rule}},
p_{\mathrm{obs}},
\chi,
\mu,
z,
\Delta_{\mathrm{mem}},
\Omega,
R,
I,
C,
\rho,
\pi
]

Axis	Meaning
0	NUVMAP rewrite-state address
1	S3C shell / dimensional shell
2	left-pattern mass
3	rewrite delta mass
4	rule hash / rule-order pressure
5	observation / constraint pressure
6	chirality / orientation
7	semantic mass
8	recurrence / Z-domain lane
9	delta-memory state
10	FAMM scar pressure
11	residual / unsatisfied constraint
12	invariant overlap
13	route cost
14	receipt strength
15	projection / display gauge

Rule anchor

A_r
=
\operatorname{Embed}_{16D}
(
H(L_r),
H(R_r),
\|L_r\|,
\|R_r-L_r\|,
\mathrm{wildcards},
\mathrm{weight},
\mathrm{constraints}
)

Where L_r is the left pattern and R_r is the right pattern.

PIST transition law

X_{t+1}
=
\Pi_{\mathrm{adm}}
\left[
\mathrm{PIST}_{r_t}(X_t)
+
\Delta_{\mathrm{MJ}}(r_t,m_t)
\right]

Rule score

P(r_t=i\mid X_t)
\propto
\exp[
-\alpha d_i
-\beta\Omega_i
-\kappa K_i
+\gamma I_i
-\eta C_i
+\lambda\mu_i
+\rho R_i
+\chi H_i
]

This makes MarkovJunior rule selection compatible with semantic mass, scar pressure, coarsening pressure, invariant overlap, route cost, receipt strength, and chirality compatibility.

Coarsening-agent behavior

failed rewrite
→ residual measured
→ scar written
→ basin coarsened
→ future matching downweighted
→ route reopened only if new evidence changes the boundary

Boundary

This shim does not execute full MarkovJunior XML semantics. It is a projection layer. It maps MarkovJunior-style rewrite rules and traces into the 16D project state so they can be routed, scored, replayed, and receipted.

Project sentence

The MarkovJunior shim lets the project treat local rewrite rules as 16D surface-transition anchors: MarkovJunior supplies the rewrite grammar, PIST supplies lawful motion, FAMM tracks scars and residuals, NUVMAP stores rewrite basins, and Delta-DAG receipts the replay path.

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