XYPHER_CONTROL_INFORMATION_PROOF CAL-CEF-2 primary=(3,2,2,2) G01 PASS Crystal and command grounding G02 PASS executable registers -- plan read at z36[G={0,1} p=000 t=0 y=blank w=0] vs z72[G={0,1} p=001 t=0 y=blank w=0] G03 PASS reciprocal generator -- each diagonal is -(exit rate) and each exit rate equals the rate counted independently from the section 3.3 rules G04 PASS pathwise accounting G05 PASS reservoir lumpability G06 PASS one temperature, three traffics G07 PASS connectivity and equilibrium -- propagated along a breadth-first spanning tree from z0 G08 PASS undistorted world G09 PASS control channel G10 PASS feedback exchange G11 PASS shuffled deck G12 PASS Landauer erasure G13 PASS no free lunch G14 PASS Xypher slot reading -- hazards are computed from HazardInputs [SourceReservoirEnergy, DestinationReservoirEnergy, ReservoirBase], a type with no N_tau, n_y, I, I*, K, THAIM, or Xi field; every system hazard equals the independent b^(E_R(z'))/1 rule and every micro hazard is kappa C01 PASS one-way-harvest observed G03 check 1 G03_RECIPROCAL_SUPPORT at none expected G03 check 1 G03_RECIPROCAL_SUPPORT at none -- complete-state HARVEST 56 -> 88: no positive COMMIT reverse C02 PASS free-reset observed G02 check 5 G02_ERASURE_SEMANTICS at none expected G02 check 5 G02_ERASURE_SEMANTICS at none -- SCRIBBLE from z0[G=none p=000 t=0 y=blank w=0] arrives at y=0 w=0 C03 PASS blind-measurement observed G02 check 3 G02_MEASURE_SEMANTICS at {0,1} expected G02 check 3 G02_MEASURE_SEMANTICS at {0,1} -- MEASURE from z72[G={0,1} p=001 t=0 y=blank w=0] writes y=0 with d(p)=1 C04 PASS cheating-harvest observed G02 check 4 G02_FEEDBACK_SEMANTICS at none expected G02 check 4 G02_FEEDBACK_SEMANTICS at none -- HARVEST from z6[G=none p=000 t=0 y=1 w=0] (d(p)=0) to y=1 w=1 C05 PASS telepathic-demon observed G02 check 4 G02_FEEDBACK_SEMANTICS at none expected G02 check 4 G02_FEEDBACK_SEMANTICS at none -- HARVEST from z0[G=none p=000 t=0 y=blank w=0] (d(p)=0) to y=blank w=1 C06 PASS directed-kinetic-mutation observed G03 check 2 G03_HAZARD_VALUES at none expected G03 check 2 G03_HAZARD_VALUES at none -- complete-state HARVEST 56 <-> 88: hazards 2 / 1, expected 1 / 1 C07 PASS hoarding-demon observed G02 check 4 G02_FEEDBACK_SEMANTICS at {0,1} expected G02 check 4 G02_FEEDBACK_SEMANTICS at {0,1} -- HARVEST from z39[G={0,1} p=000 t=0 y=0 w=0] reaches 1 of 4 plans C08 PASS unequal-shuffle observed G11 check 2 G11_SHUFFLED_MARGINALS at none expected G11 check 2 G11_SHUFFLED_MARGINALS at none -- w=0: B_G record marginal [1/3,1/3,1/3] != A_G record marginal [1,0,0] C09 PASS stockpile-slip observed G08 check 3 G08_STOCKPILE_MARGINAL at global expected G08 check 3 G08_STOCKPILE_MARGINAL at global value 11/15 -- mean stockpile 11/15; section 5: 4/7 WITNESS none N_2=1 n=1,0,0 |D|=1 K=1/2,-,- exp[N I]=1 exp[|D| I*]=1 WITNESS {0,1} N_2=4 n=2,2,0 |D|=2 K=1,1,- exp[N I]=16 exp[|D| I*]=4 WITNESS {0,2} N_2=4 n=2,0,2 |D|=2 K=1,-,1 exp[N I]=16 exp[|D| I*]=4 WITNESS {0,1},{0,2} N_2=7 n=3,2,2 |D|=3 K=7/6,7/4,7/4 exp[N I]=823543/432 exp[|D| I*]=27 WITNESS {1,2} N_2=1 n=1,0,0 |D|=1 K=1/2,-,- exp[N I]=1 exp[|D| I*]=1 WITNESS {0,1},{1,2} N_2=5 n=2,2,1 |D|=3 K=5/4,5/4,5/2 exp[N I]=3125/16 exp[|D| I*]=27 WITNESS {0,2},{1,2} N_2=5 n=2,1,2 |D|=3 K=5/4,5/2,5/4 exp[N I]=3125/16 exp[|D| I*]=27 WITNESS {0,1},{0,2},{1,2} N_2=9 n=3,3,3 |D|=3 K=3/2,3/2,3/2 exp[N I]=19683 exp[|D| I*]=27 INSTRUMENT (3,2,2,2) erasure_ratio=2/3 mean_stockpile=4/7 blank=1/4 correct_fraction=1/3 FAMILY (3,1,2,2) configurations=8 system=384 complete=2520 Z=45/8 mean_bridges=19/15 erasure=2/3 mean_stockpile=4/7 blank=1/4 K1=[{0,1};{0,2};{0,1},{1,2};{0,2},{1,2}] gates PASS=14 FAIL=0 N/A=0 FAMILY (3,2,2,2) configurations=8 system=1296 complete=7308 Z=87/8 mean_bridges=131/87 erasure=2/3 mean_stockpile=4/7 blank=1/4 K1=[{0,1};{0,2}] gates PASS=14 FAIL=0 N/A=0 FAMILY (3,3,2,2) configurations=8 system=4128 complete=20720 Z=185/8 mean_bridges=313/185 erasure=2/3 mean_stockpile=4/7 blank=1/4 K1=[{0,1};{0,2}] gates PASS=14 FAIL=0 N/A=0 FAMILY (3,2,3,2) configurations=8 system=1296 complete=26208 Z=56/9 mean_bridges=5/4 erasure=1 mean_stockpile=5/13 blank=1/4 K1=[{0,1},{0,2},{1,2}] gates PASS=14 FAIL=0 N/A=0 FAMILY (3,1,3,1) configurations=8 system=256 complete=3072 Z=32/9 mean_bridges=1 erasure=1 mean_stockpile=1/4 blank=1/4 K1=[{0,1},{0,2};{0,1},{0,2},{1,2}] gates PASS=14 FAIL=0 N/A=0 FAMILY (4,1,2,1) configurations=64 system=3200 complete=43740 Z=729/32 mean_bridges=7/3 erasure=1/2 mean_stockpile=1/3 blank=1/5 K1=[{0,1};{0,2};{0,3};{0,1},{1,2};{0,2},{1,2};{0,3},{1,2};{0,1},{1,3};{0,2},{1,3};{0,3},{1,3};{0,1},{1,2},{1,3};{0,2},{1,2},{1,3};{0,3},{1,2},{1,3};{0,1},{2,3};{0,2},{2,3};{0,3},{2,3};{0,1},{1,2},{2,3};{0,2},{1,2},{2,3};{0,3},{1,2},{2,3};{0,1},{1,3},{2,3};{0,2},{1,3},{2,3};{0,3},{1,3},{2,3};{0,1},{1,2},{1,3},{2,3};{0,2},{1,2},{1,3},{2,3};{0,3},{1,2},{1,3},{2,3}] gates PASS=13 FAIL=0 N/A=1(G05) FAMILY (4,2,2,1) configurations=64 system=13440 complete=153090 Z=1701/32 mean_bridges=55/21 erasure=1/2 mean_stockpile=1/3 blank=1/5 K1=[{0,1};{0,2};{0,3};{0,3},{1,2};{0,2},{1,3};{0,1},{2,3}] gates PASS=13 FAIL=0 N/A=1(G05) OVERALL PASS