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248ea7d | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 | #!/usr/bin/env python3
"""Certified generative pruning (CGP), a bounded symbolic self-improver.
Only the finite candidate-generator automaton is rewritten. Primitive task
semantics, proof checking, objectives, and evaluator are outside that interface.
Python 3.10+; standard library only. No network, subprocess, eval, or exec.
"""
from __future__ import annotations
from collections import deque
from dataclasses import dataclass
import hashlib, json, random, time
Word = tuple[int, ...]
Map = tuple[int, ...]
def family(seed: int, n: int = 8) -> tuple[Map, ...]:
"""Cycle, its inverse, and two adjacent transpositions in a random cycle.
The alphabet order varies by seed. These generate S_n; no laws are seeded.
"""
rng = random.Random(seed)
order = list(range(n)); rng.shuffle(order)
cycle = list(range(n))
for i in range(n): cycle[order[i]] = order[(i+1) % n]
inverse = [0]*n
for i,j in enumerate(cycle): inverse[j] = i
swaps = []
for i in rng.sample(range(n), 2):
p = list(range(n)); a,b = order[i],order[(i+1)%n]
p[a],p[b] = p[b],p[a]; swaps.append(tuple(p))
gs = [tuple(cycle),tuple(inverse),*swaps]; rng.shuffle(gs)
return tuple(gs)
def ref_eval(word: Word, generators: tuple[Map,...]) -> Map:
"""Independent exact checker: run every boundary input instruction by instruction."""
n = len(generators[0]); out = []
for initial in range(n):
x = initial
for symbol in word:
if type(symbol) is not int or not 0 <= symbol < len(generators):
raise ValueError('invalid instruction')
x = generators[symbol][x]
out.append(x)
return tuple(out)
def shortlex(w: Word) -> tuple:
return len(w), w
@dataclass(frozen=True)
class Rule:
lhs: Word
rhs: Word
def export(self) -> dict:
return {'lhs':list(self.lhs),'rhs':list(self.rhs)}
def check_rule(rule: Rule, generators: tuple[Map,...]) -> bool:
if not rule.lhs or shortlex(rule.rhs) >= shortlex(rule.lhs): return False
try:
return ref_eval(rule.lhs,generators) == ref_eval(rule.rhs,generators)
except (ValueError, IndexError, TypeError):
return False
class Guard:
"""Aho-Corasick automaton rejecting any certified left-hand-side factor."""
def __init__(self, forbidden: list[Word], alphabet: int):
self.alphabet = alphabet
edges = [{}]; terminal = [False]; self.prefixes = [()]
for word in forbidden:
state = 0
for symbol in word:
if symbol not in edges[state]:
edges[state][symbol] = len(edges)
edges.append({}); terminal.append(False)
self.prefixes.append(self.prefixes[state]+(symbol,))
state = edges[state][symbol]
terminal[state] = True
self.next = [[0]*alphabet for _ in edges]
fail = [0]*len(edges)
q = deque()
for symbol,state in edges[0].items():
self.next[0][symbol] = state; q.append(state)
while q:
state=q.popleft(); terminal[state] |= terminal[fail[state]]
for symbol in range(alphabet):
if symbol in edges[state]:
child=edges[state][symbol]
fail[child]=self.next[fail[state]][symbol]
self.next[state][symbol]=child; q.append(child)
else:
self.next[state][symbol]=self.next[fail[state]][symbol]
self.bad = terminal
def scan(self, word: Word) -> int | None:
state=0
for symbol in word:
state=self.next[state][symbol]
if self.bad[state]: return None
return state
def digest(self) -> str:
raw=json.dumps([self.next,self.bad],separators=(',',':')).encode()
return hashlib.sha256(raw).hexdigest()
class Improver:
def __init__(self, generators: tuple[Map,...], rules: list[Rule] | None=None,
semantic_dedup: bool=False):
if not generators or len({len(g) for g in generators}) != 1:
raise ValueError('incompatible primitive maps')
n=len(generators[0])
if any(any(type(x) is not int or not 0 <= x < n for x in g) for g in generators):
raise ValueError('map outside finite domain')
self.generators=generators
self.rules=list(rules or [])
if not all(check_rule(r,generators) for r in self.rules):
raise ValueError('unverified initial rule')
self.guard=Guard([r.lhs for r in self.rules],len(generators))
ident=tuple(range(n))
self.frontier=deque([((),ident,0)])
self.best={ident:()}
self.seen_for_queue={ident}
self.pending: dict[Word,Rule]={}
self.semantic_dedup=semantic_dedup
self.stats={'popped':0,'semantic_products':0,'guard_probes':0,
'guard_rejections':0,'queue_filtered':0,'rules_checked':0,
'checker_instruction_steps':0,'rebuild_scan_steps':0,
'peak_queue':1,'installations':0,'independent_checks':0}
def advance(self, expansions: int, product_budget: int | None=None) -> dict:
before=len(self.best); p0=self.stats['popped']; t=time.perf_counter()
g=self.guard; gs=self.generators
product_start=self.stats['semantic_products']
for _ in range(expansions):
if not self.frontier: break
if product_budget is not None and self.stats['semantic_products']-product_start >= product_budget: break
word,signature,state=self.frontier.popleft(); self.stats['popped']+=1
for symbol,primitive in enumerate(gs):
self.stats['guard_probes']+=1
ns=g.next[state][symbol]
if g.bad[ns]:
self.stats['guard_rejections']+=1; continue
child=word+(symbol,)
value=tuple(primitive[x] for x in signature)
self.stats['semantic_products']+=1
previous=self.best.get(value)
if previous is None:
self.best[value]=child
elif shortlex(child) < shortlex(previous):
self.best[value]=child
self.pending.setdefault(previous,Rule(previous,child))
elif child != previous:
self.pending.setdefault(child,Rule(child,previous))
if self.semantic_dedup:
if value in self.seen_for_queue: continue
self.seen_for_queue.add(value)
self.frontier.append((child,value,ns))
self.stats['peak_queue']=max(self.stats['peak_queue'],len(self.frontier))
return {'new_semantics':len(self.best)-before,
'expansions':self.stats['popped']-p0,
'wall_seconds':time.perf_counter()-t,
'known_semantics':len(self.best),'queue':len(self.frontier),
'semantic_products':self.stats['semantic_products']-product_start}
def install(self, max_rules: int=600) -> dict:
"""Select sound shortest obstructions; rebuild and replace search-control code.
Selection is data-driven, deterministic. No hardcoded semantic identities.
Old forbidden languages are retained; this gives monotone pruning.
"""
start=time.perf_counter(); old=self.guard.digest(); accepted=[]
room=max_rules-len(self.rules)
# Pending laws with a previously forbidden factor cannot add pruning.
pending=sorted(self.pending.values(),key=lambda r:shortlex(r.lhs))
self.pending={}
trial_lhs=[r.lhs for r in self.rules]
trial=self.guard
new_lefts=set()
for rule in pending:
if len(accepted)>=room: break
if self.guard.scan(rule.lhs) is None: continue
if any(rule.lhs[i:j] in new_lefts
for i in range(len(rule.lhs))
for j in range(i+1,len(rule.lhs)+1)): continue
self.stats['rules_checked']+=1
self.stats['checker_instruction_steps']+=len(self.generators[0])*(len(rule.lhs)+len(rule.rhs))
if not check_rule(rule,self.generators):
raise AssertionError('untrusted proposal failed verification')
accepted.append(rule); trial_lhs.append(rule.lhs); new_lefts.add(rule.lhs)
if accepted:
self.rules.extend(accepted)
trial=Guard(trial_lhs,len(self.generators))
from verifier import verify
candidate={'generators':self.generators,
'rules':[r.export() for r in self.rules],
'guard':{'transition':trial.next,'reject':trial.bad,
'prefixes':trial.prefixes,'sha256':trial.digest()}}
receipt=verify(candidate)
if not receipt['accepted']:
self.rules=self.rules[:-len(accepted)]
raise AssertionError('independent checker rejected update: '+str(receipt))
self.stats['independent_checks']+=1
self.guard=trial
filtered=deque()
for word,value,_ in self.frontier:
self.stats['rebuild_scan_steps']+=len(word)
ns=trial.scan(word)
if ns is not None: filtered.append((word,value,ns))
else: self.stats['queue_filtered']+=1
self.frontier=filtered; self.stats['installations']+=1
return {'accepted':len(accepted),'rules_total':len(self.rules),
'automaton_states':len(self.guard.next),'before_hash':old,
'after_hash':self.guard.digest(),
'wall_seconds':time.perf_counter()-start}
def export(self) -> dict:
return {'generators':[list(x) for x in self.generators],
'rules':[r.export() for r in self.rules],
'guard':{'transition':self.guard.next,'reject':self.guard.bad,
'prefixes':[list(p) for p in self.guard.prefixes],
'sha256':self.guard.digest()},
'stats':self.stats.copy(),'known_semantics':len(self.best)}
def train(seed: int, n: int=8, rounds: int=8, batch: int=300,
mode: str='recursive', max_rules: int=600, product_batches: bool=False) -> tuple[Improver,list[dict]]:
if mode not in {'recursive','frozen','oneshot','semantic_bfs','recursive_bfs','oneshot_bfs'}:
raise ValueError('unknown mode')
engine=Improver(family(seed,n),semantic_dedup=(mode in {'semantic_bfs','recursive_bfs','oneshot_bfs'}))
records=[]
for generation in range(rounds):
growth=engine.advance(100000,product_budget=batch) if product_batches else engine.advance(batch)
if mode in {'recursive','recursive_bfs'} or (mode in {'oneshot','oneshot_bfs'} and generation==0):
upgrade=engine.install(max_rules)
else:
# Pending rules may be kept as data in a frozen control; they do not
# change the generator. Clear to avoid irrelevant memory accumulation.
engine.pending={}; upgrade={'accepted':0,'wall_seconds':0.0,
'rules_total':len(engine.rules)}
records.append({'generation':generation+1,'growth':growth,'upgrade':upgrade})
return engine,records
if __name__=='__main__':
for mode in ['frozen','oneshot','recursive','semantic_bfs']:
t=time.perf_counter(); e,h=train(7101,mode=mode)
print(mode,round(time.perf_counter()-t,4),len(e.best),len(e.rules),
[r['growth']['known_semantics'] for r in h],
[r['upgrade']['accepted'] for r in h])
def cold_search(generators: tuple[Map,...], rules: list[Rule], expansions: int,
dedup: bool=False, product_budget: int | None=None, wall_budget: float | None=None) -> dict:
"""Task deployment: no proof mining or pending-law overhead in either control.
For dedup=True this is conventional semantic BFS with an optimized inner loop,
not a deliberately slowed variant of the self-improver.
Construction of the supplied automaton is included in measured deployment time.
"""
t=time.perf_counter(); ident=tuple(range(len(generators[0])))
best={ident:()}; products=0; probes=0; popped=0; peak=1
if dedup and not rules:
todo=deque([(ident,())])
while todo and popped < expansions:
if product_budget is not None and products>=product_budget: break
if wall_budget is not None and time.perf_counter()-t>=wall_budget: break
signature,word=todo.popleft(); popped+=1
for a,g in enumerate(generators):
value=tuple(g[x] for x in signature); products+=1
if value not in best:
child=word+(a,);best[value]=child;todo.append((value,child))
peak=max(peak,len(todo))
states=0
else:
guard=Guard([r.lhs for r in rules],len(generators)); states=len(guard.next)
todo=deque([(ident,(),0)])
while todo and popped < expansions:
if product_budget is not None and products>=product_budget: break
if wall_budget is not None and time.perf_counter()-t>=wall_budget: break
signature,word,state=todo.popleft(); popped+=1
for a,g in enumerate(generators):
probes+=1; ns=guard.next[state][a]
if guard.bad[ns]: continue
value=tuple(g[x] for x in signature);products+=1
child=word+(a,)
if value not in best:
best[value]=child;todo.append((value,child,ns))
elif not dedup:todo.append((value,child,ns))
peak=max(peak,len(todo))
return {'known_semantics':len(best),'semantic_products':products,'popped':popped,
'guard_probes':probes,'automaton_states':states,'peak_queue':peak,
'wall_seconds':time.perf_counter()-t,'best':best}
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