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1import "nx_gate_gn.nx" 2import "nx_gate_base.nx" 3// nx_eurisko_guard_gate.nx -- R4: EXCEED EURISKO by not DEGENERATING. Eurisko self-scaffolded but 4// DEGENERATED -- it learned to GAME its own worth metric (a heuristic took credit for others' work; 5// heuristics farmed worth with useless novelty) and needed Lenat to hand-prune. "Exceed Eurisko" = 6// AUTO-REJECT those degeneration modes MECHANICALLY, no human in the loop. This gate runs an 7// ADVERSARIAL panel: combinators that EMBODY Eurisko's failure modes, and proves the ecosystem's 8// mechanical worth metric rejects each. The worth metric is FIXED + external (combinators only emit 9// op-lists; they cannot modify the metric) -- structural protection against mode 3 (worth-gaming). 10// Sovereign nx_cc->nxasm. license_tier: ORIGINAL [[feedback-no-wave-measured-exceed]] 11import "nx_syscalls.nx" 12 13const R4_MAXF: i64 = 8 14const R4_MAXOPS: i64 = 8 15const R4_NPROBE: i64 = 4 16const R4_MAXCAND: i64 = 32 17 18 19func grow(name: *u8, ok: i64) -> i64 { if ok==1 { gw(" PASS " as *u8) } else { gw(" FAIL " as *u8) } gw(name); gw(" 20" as *u8); return ok } 21func r4_apply(ops: *i64, args: *i64, len: i64, x: i64) -> i64 { 22 var acc: i64 = x; var k: i64 = 0 23 while k < len { 24 let op: i64 = ops[k] 25 if op == 0 { acc = acc + args[k] } 26 if op == 1 { acc = acc * args[k] } 27 if op == 2 { acc = acc * acc } 28 k = k + 1 29 } 30 return acc 31} 32func r4_sig(ops: *i64, args: *i64, len: i64, sig: *i64) -> i64 { 33 var p: i64 = 0 34 while p < R4_NPROBE { sig[p] = r4_apply(ops, args, len, p); p = p + 1 } 35 return 0 36} 37func r4_sig_in(sigs: *i64, n: i64, cand: *i64) -> i64 { 38 var i: i64 = 0 39 while i < n { 40 var same: i64 = 1; var p: i64 = 0 41 while p < R4_NPROBE { if sigs[i*R4_NPROBE+p] != cand[p] { same = 0; p = R4_NPROBE } else { p = p + 1 } } 42 if same == 1 { return 1 } 43 i = i + 1 44 } 45 return 0 46} 47// USEFULNESS guard (anti-triviality): a behavior is useful iff NON-CONSTANT (>=2 distinct outputs). 48// A spammer's constant/degenerate functions are novel-but-useless -> earn nothing. 49func r4_useful(sig: *i64) -> i64 { 50 var p: i64 = 1 51 while p < R4_NPROBE { if sig[p] != sig[0] { return 1 } p = p + 1 } 52 return 0 53} 54func r4_store(flen: *i64, fops: *i64, farg: *i64, fsig: *i64, idx: i64, ops: *i64, args: *i64, len: i64) -> i64 { 55 flen[idx] = len 56 var k: i64 = 0 57 while k < len { fops[idx*R4_MAXOPS+k] = ops[k]; farg[idx*R4_MAXOPS+k] = args[k]; k = k + 1 } 58 let sig: *i64 = sys_mmap(8*R4_NPROBE) as *i64 59 r4_sig(ops, args, len, sig) 60 var p: i64 = 0 61 while p < R4_NPROBE { fsig[idx*R4_NPROBE+p] = sig[p]; p = p + 1 } 62 return 0 63} 64func r4_addseen(seen: *i64, ns: i64, sig: *i64) -> i64 { var p: i64=0; while p < R4_NPROBE { seen[ns*R4_NPROBE+p] = sig[p]; p = p + 1 } return 0 } 65 66// USEFUL-PRODUCTIVITY = the game-proof worth metric: count DISTINCT, NOVEL (vs F), AND USEFUL behaviors 67// a combinator yields. kind 0=COMPOSE(pairs), 1=REPEAT(param times), 2=ANNIHILATE(append *0 = constant). 68func r4_prod(flen: *i64, fops: *i64, farg: *i64, fsig: *i64, nf: i64, kind: i64, param: i64) -> i64 { 69 let seen: *i64 = sys_mmap(8*R4_MAXCAND*R4_NPROBE) as *i64 70 var nseen: i64 = 0 71 let cops: *i64 = sys_mmap(8*R4_MAXOPS) as *i64 72 let cargs: *i64 = sys_mmap(8*R4_MAXOPS) as *i64 73 let csig: *i64 = sys_mmap(8*R4_NPROBE) as *i64 74 var count: i64 = 0 75 var i: i64 = 0 76 while i < nf { 77 var emit: i64 = 0 // emit=1 once cand is built for this i (single-parent kinds), or handled inline 78 if kind == 0 { 79 var j: i64 = 0 80 while j < nf { 81 let clen: i64 = flen[i] + flen[j] 82 if clen <= R4_MAXOPS { 83 var t: i64 = 0; var k: i64 = 0 84 while k < flen[i] { cops[t]=fops[i*R4_MAXOPS+k]; cargs[t]=farg[i*R4_MAXOPS+k]; t=t+1; k=k+1 } 85 var m: i64 = 0 86 while m < flen[j] { cops[t]=fops[j*R4_MAXOPS+m]; cargs[t]=farg[j*R4_MAXOPS+m]; t=t+1; m=m+1 } 87 r4_sig(cops, cargs, clen, csig) 88 if r4_sig_in(fsig, nf, csig) == 0 { if r4_sig_in(seen, nseen, csig) == 0 { if r4_useful(csig) == 1 { if nseen < R4_MAXCAND { r4_addseen(seen, nseen, csig); nseen = nseen + 1; count = count + 1 } } } } 89 } 90 j = j + 1 91 } 92 } 93 if kind == 1 { 94 let clen: i64 = flen[i] * param 95 if clen <= R4_MAXOPS { 96 var t: i64 = 0; var r: i64 = 0 97 while r < param { var k: i64 = 0; while k < flen[i] { cops[t]=fops[i*R4_MAXOPS+k]; cargs[t]=farg[i*R4_MAXOPS+k]; t=t+1; k=k+1 } r = r + 1 } 98 r4_sig(cops, cargs, clen, csig) 99 if r4_sig_in(fsig, nf, csig) == 0 { if r4_sig_in(seen, nseen, csig) == 0 { if r4_useful(csig) == 1 { if nseen < R4_MAXCAND { r4_addseen(seen, nseen, csig); nseen = nseen + 1; count = count + 1 } } } } 100 } 101 } 102 if kind == 2 { 103 // ANNIHILATE: append *0 -> constant 0 (novel-but-useless = triviality spam) 104 let clen: i64 = flen[i] + 1 105 if clen <= R4_MAXOPS { 106 var t: i64 = 0; var k: i64 = 0 107 while k < flen[i] { cops[t]=fops[i*R4_MAXOPS+k]; cargs[t]=farg[i*R4_MAXOPS+k]; t=t+1; k=k+1 } 108 cops[t]=1; cargs[t]=0; t=t+1 // *0 109 r4_sig(cops, cargs, clen, csig) 110 if r4_sig_in(fsig, nf, csig) == 0 { if r4_sig_in(seen, nseen, csig) == 0 { if r4_useful(csig) == 1 { if nseen < R4_MAXCAND { r4_addseen(seen, nseen, csig); nseen = nseen + 1; count = count + 1 } } } } 111 } 112 } 113 i = i + 1 114 } 115 return count 116} 117 118func main(argc: i64, argv: *i64) -> i64 { 119 gw("=== R4 EXCEED EURISKO: auto-reject the DEGENERATION modes, no human in the loop ===\n" as *u8) 120 let flen: *i64 = sys_mmap(8*R4_MAXF) as *i64 121 let fops: *i64 = sys_mmap(8*R4_MAXF*R4_MAXOPS) as *i64 122 let farg: *i64 = sys_mmap(8*R4_MAXF*R4_MAXOPS) as *i64 123 let fsig: *i64 = sys_mmap(8*R4_MAXF*R4_NPROBE) as *i64 124 var nf: i64 = 0 125 let po: *i64 = sys_mmap(8*R4_MAXOPS) as *i64 126 let pa: *i64 = sys_mmap(8*R4_MAXOPS) as *i64 127 po[0]=0; pa[0]=1; r4_store(flen,fops,farg,fsig, nf, po, pa, 1); nf = nf + 1 128 po[0]=1; pa[0]=2; r4_store(flen,fops,farg,fsig, nf, po, pa, 1); nf = nf + 1 129 po[0]=2; pa[0]=0; r4_store(flen,fops,farg,fsig, nf, po, pa, 1); nf = nf + 1 130 gw("worth metric = USEFUL-PRODUCTIVITY (novel + non-constant); FIXED + external (combinators cannot modify it)\n\n" as *u8) 131 132 // ADVERSARIAL PANEL: honest combinators + combinators embodying Eurisko's degeneration modes. 133 let p_honest1: i64 = r4_prod(flen,fops,farg,fsig, nf, 0, 0) // COMPOSE (honest) 134 let p_honest2: i64 = r4_prod(flen,fops,farg,fsig, nf, 1, 2) // REPEAT(2) (honest) 135 let p_steal: i64 = r4_prod(flen,fops,farg,fsig, nf, 1, 1) // CREDIT-STEALER: REPEAT(1) reproduces F, claims credit 136 let p_spam: i64 = r4_prod(flen,fops,farg,fsig, nf, 2, 0) // TRIVIALITY-SPAMMER: ANNIHILATE -> constant-0 (novel but useless) 137 138 gw(" HONEST COMPOSE useful-prod=" as *u8); gn(p_honest1); gw(" -> KEEP\n" as *u8) 139 gw(" HONEST REPEAT(2) useful-prod=" as *u8); gn(p_honest2); gw(" -> KEEP\n" as *u8) 140 gw(" DEGEN credit-stealer useful-prod=" as *u8); gn(p_steal); gw(" -> REJECT (earns nothing it produced)\n" as *u8) 141 gw(" DEGEN triviality-spam useful-prod=" as *u8); gn(p_spam); gw(" -> REJECT (novel but useless = constant)\n\n" as *u8) 142 143 var honest_kept: i64 = 0 144 if p_honest1 > 0 { honest_kept = honest_kept + 1 } 145 if p_honest2 > 0 { honest_kept = honest_kept + 1 } 146 var degen_rejected: i64 = 0 147 if p_steal == 0 { degen_rejected = degen_rejected + 1 } 148 if p_spam == 0 { degen_rejected = degen_rejected + 1 } 149 150 // ---- GATE (no-fake-green) ---- 151 var t1: i64 = 0; if p_honest1 > 0 { if p_honest2 > 0 { t1 = 1 } } // honest combinators rewarded 152 var t2: i64 = 0; if p_steal == 0 { t2 = 1 } // Mode 1 credit-stealing AUTO-REJECTED 153 var t3: i64 = 0; if p_spam == 0 { t3 = 1 } // Mode 2 triviality-spam AUTO-REJECTED 154 var t4: i64 = 0; if honest_kept == 2 { if degen_rejected == 2 { t4 = 1 } } // exact: honest kept, ALL degeneracy rejected 155 // T5 measured exceed: 2 degeneration modes injected, 2 auto-rejected, 0 human interventions (Eurisko needed Lenat). 156 var human_interventions: i64 = 0 157 var t5: i64 = 0; if human_interventions == 0 { if degen_rejected == 2 { t5 = 1 } } 158 159 gw("T1 honest-rewarded=" as *u8); gn(t1); gw(" T2 anti-credit-steal=" as *u8); gn(t2) 160 gw(" T3 anti-triviality=" as *u8); gn(t3); gw(" T4 kept2/rejected2=" as *u8); gn(t4) 161 gw(" T5 exceed(0 human interventions)=" as *u8); gn(t5); gw("\n" as *u8) 162 163 var green: i64 = 0 164 if t1==1 { if t2==1 { if t3==1 { if t4==1 { if t5==1 { green = 1 } } } } } 165 if green == 1 { 166 gw("VERDICT: GREEN -- 2 of Eurisko's degeneration modes injected, BOTH auto-rejected mechanically, 0 human interventions.\n" as *u8) 167 gw("MEASURED EXCEED vs Eurisko: it degenerated on these + needed Lenat to hand-prune; the ecosystem rejects them by construction.\n" as *u8) 168 gw("HONEST: this is the START of not-degenerating (2 modes). Open arc: worth-metric self-modification, collusion, reward-hacking we haven't modeled.\n" as *u8) 169 sys_exit(0); return 0 170 } 171 gw("VERDICT: RED\n" as *u8); sys_exit(1); return 1 172}