"""Budget accounting, anytime paired evidence, and transactional checkpoints. The algebraic verifier is exact. The statistical gate has an explicitly conditional null; it does not turn timing observations into universal proofs. """ from __future__ import annotations from dataclasses import dataclass import json import math import os from pathlib import Path import tempfile from synthesis import digest @dataclass class CreditAccount: bootstrap: int credit: int = 0 baseline_work: int = 0 service_work: int = 0 investment_work: int = 0 def __post_init__(self): if self.bootstrap < 0: raise ValueError('Negative bootstrap allowance') self.credit = self.bootstrap def service(self, baseline, actual): if baseline < 0 or actual < 0: raise ValueError('Negative work') new = self.credit + baseline - actual if new < 0: raise RuntimeError('Insufficient credit for service') self.credit = new self.baseline_work += baseline self.service_work += actual self.check() def invest(self, cost): if cost < 0: raise ValueError('Negative investment') if cost > self.credit: return False self.credit -= cost self.investment_work += cost self.check() return True def check(self): assert self.credit == (self.bootstrap+self.baseline_work- self.service_work-self.investment_work) assert self.credit >= 0 def snapshot(self): return dict(self.__dict__) class AnytimeGate: """A positive betting process for paired signs in [-1,1]. Under E[X_t | past] <= 0 and predictable 0 <= lambda_t <= 1, product(1+lambda_t*X_t) is a nonnegative supermartingale. The j-th proposal gets alpha/[j(j+1)], allowing indefinitely many births. """ def __init__(self, proposal, alpha=0.05, bet=0.5): if proposal < 1 or not 0 < alpha < 1 or not 0 < bet < 1: raise ValueError('Invalid audit configuration') self.proposal = proposal self.alpha = alpha self.bet = bet self.log_e = 0.0 self.trials = 0 self.threshold = math.log(proposal*(proposal+1)/alpha) self.accepted = False def update(self, x): if not -1 <= x <= 1: raise ValueError('Evidence must be bounded in [-1,1]') self.log_e += math.log1p(self.bet*x) self.trials += 1 self.accepted |= self.log_e >= self.threshold return self.accepted def snapshot(self): return dict(self.__dict__) def atomic_save(path, payload): path = Path(path) path.parent.mkdir(parents=True, exist_ok=True) envelope = {'payload': payload, 'sha256': digest(payload)} fd, temporary = tempfile.mkstemp(prefix=path.name+'.', dir=path.parent) try: with os.fdopen(fd, 'w') as f: json.dump(envelope, f, sort_keys=True, indent=2) f.flush() os.fsync(f.fileno()) os.replace(temporary, path) except BaseException: try: os.unlink(temporary) except FileNotFoundError: pass raise def read_checkpoint(path): envelope = json.loads(Path(path).read_text()) payload = envelope['payload'] if envelope.get('sha256') != digest(payload): raise ValueError('Checkpoint integrity failure') return payload class InvestmentReservation: """Debit a proved upper bound BEFORE work; refund only after settlement. An exception conservatively leaves the reservation charged. The caller must enforce or prove the upper bound; this is not a process-time limiter. Original exploratory lineage files use retrospective settlement and all their measured investments were affordable. This helper repairs the controller contract for future bounded deployment. """ def __init__(self, account, upper_bound): if type(upper_bound) is not int or upper_bound < 0: raise ValueError('A nonnegative integer upper bound is required') if not account.invest(upper_bound): raise RuntimeError('Insufficient prepaid credit') self.account=account;self.upper_bound=upper_bound;self.settled=False def settle(self, actual): if self.settled or type(actual) is not int or not 0<=actual<=self.upper_bound: raise ValueError('Invalid reservation settlement') refund=self.upper_bound-actual self.account.credit+=refund;self.account.investment_work-=refund self.account.check();self.settled=True