"""Finite-state observability checks and tamper-evident event persistence. Inspired by the user's PIPS/RCCD/SPWSE design goals. These are independently specified finite constructions, not assertions that neural summaries preserve all causally relevant information. """ from dataclasses import dataclass, asdict import hashlib import json from pathlib import Path import numpy as np from .replay import canonical_json from .certificates import compaction_value_bound @dataclass(frozen=True) class QuotientCertificate: reward_error: float transition_tv: float exact: bool states: int quotient_states: int horizon: int value_error_bound: float kernel_digest: str scope: str = "enumerated finite MDP; policies constant on quotient fibers" def certify_quotient(reward, transition, mapping, *, horizon: int) -> tuple[QuotientCertificate, np.ndarray, np.ndarray]: """Construct a representative quotient and check every (state,action). reward[S,A], transition[S,A,S], mapping[S] with contiguous labels. No statistical/generalization claim follows when these arrays are merely fitted models instead of trusted exact transition tables. """ r, p, f = np.asarray(reward, dtype=float), np.asarray(transition, dtype=float), np.asarray(mapping) if r.ndim != 2 or p.shape != (*r.shape, r.shape[0]) or f.shape != (len(r),): raise ValueError("invalid finite MDP shapes") if f.dtype.kind not in "iu" or (f < 0).any() or not np.array_equal(np.unique(f), np.arange(f.max()+1)): raise ValueError("mapping must use contiguous nonnegative integer labels") if not np.isfinite(r).all() or not np.isfinite(p).all() or (p < 0).any() or not np.allclose(p.sum(-1), 1, atol=1e-12, rtol=0): raise ValueError("invalid finite MDP values") z = int(f.max()+1) agg = np.stack([p[..., f == j].sum(-1) for j in range(z)], -1) representatives = [int(np.flatnonzero(f == j)[0]) for j in range(z)] rq, pq = r[representatives], agg[representatives] er = float(np.abs(r-rq[f]).max()) ep = float((0.5*np.abs(agg-pq[f]).sum(-1)).max()) span = float(np.max(r)-np.min(r)) bound = compaction_value_bound(horizon, er, ep, span) h = hashlib.sha256() for a in (r, p, f.astype(np.int64)): h.update(canonical_json({"shape": a.shape, "dtype": a.dtype.str})) h.update(np.ascontiguousarray(a).tobytes()) cert = QuotientCertificate(er, ep, er == 0 and ep == 0, len(r), z, horizon, bound, h.hexdigest()) return cert, rq, pq class EventLog: """Append-only in-memory hash chain. No arbitrary tool execution capability.""" def __init__(self): self.events: list[dict] = [] def append(self, kind: str, payload: dict, *, capability_hash: str) -> str: if not kind or not capability_hash or not isinstance(payload, dict): raise ValueError("event kind, dict payload and capability hash required") # JSON roundtrip isolates future caller mutation and excludes NaN/objects. payload = json.loads(canonical_json(payload)) parent = self.events[-1]["digest"] if self.events else "0"*64 body = {"index": len(self.events), "kind": kind, "payload": payload, "capability_hash": capability_hash, "parent": parent} digest = hashlib.sha256(canonical_json(body)).hexdigest() self.events.append(dict(body, digest=digest)) return digest def verify(self) -> None: parent = "0"*64 for i, event in enumerate(self.events): body = {k: v for k, v in event.items() if k != "digest"} if body.get("index") != i or body.get("parent") != parent: raise ValueError("event ordering/parent mismatch") digest = hashlib.sha256(canonical_json(body)).hexdigest() if digest != event.get("digest"): raise ValueError("event digest mismatch") parent = digest def save(self, path: str | Path): self.verify() Path(path).write_text("\n".join(canonical_json(e).decode() for e in self.events)+"\n", encoding="utf-8") @classmethod def load(cls, path: str | Path) -> "EventLog": obj = cls() obj.events = [json.loads(s) for s in Path(path).read_text(encoding="utf-8").splitlines() if s] obj.verify() return obj def potential_returns(rewards, potentials, *, gamma: float = 1.): """Return shaped rewards and return-to-go; requires zero terminal potential. Potentials are prefix-predictable. For gamma=1 and terminal-only rewards, the result is R - Phi_t: an action-independent baseline, not free new reward information. Adversarial/action-dependent potentials can bias it. """ r, phi = np.asarray(rewards, dtype=float), np.asarray(potentials, dtype=float) if r.ndim != 1 or phi.shape != (len(r)+1,) or not np.isfinite(r).all() or not np.isfinite(phi).all(): raise ValueError("finite rewards[T] and potentials[T+1] required") if not 0 <= gamma <= 1 or not np.isfinite(gamma) or phi[-1] != 0: raise ValueError("gamma in [0,1] and exactly zero terminal potential required") shaped = r + gamma*phi[1:] - phi[:-1] rtg = np.empty_like(r) carry = 0. for t in range(len(r)-1, -1, -1): carry = shaped[t] + gamma*carry rtg[t] = carry return shaped, rtg