
In this tutorial, we implement an end-to-end Practical Byzantine Fault Tolerance (PBFT) simulator using asyncio. We model a realistic distributed network with asynchronous message passing, configurable delays, and Byzantine nodes that intentionally deviate from the protocol. By explicitly implementing the pre-prepare, prepare, and commit phases, we explore how PBFT achieves consensus under adversarial conditions while respecting the theoretical 3f+1 bound. We also instrument the system to measure consensus latency and success rates as the number of malicious nodes increases, allowing us to empirically observe the limits of Byzantine fault tolerance.
import random
import time
import hashlib
from dataclasses import dataclass, field
from typing import Dict, Set, Tuple, Optional, List
import matplotlib.pyplot as plt
PREPREPARE = “PREPREPARE”
PREPARE = “PREPARE”
COMMIT = “COMMIT”
@dataclass(frozen=True)
class Msg:
typ: str
view: int
seq: int
digest: str
sender: int
@dataclass
class NetConfig:
min_delay_ms: int = 5
max_delay_ms: int = 40
drop_prob: float = 0.0
reorder_prob: float = 0.0
We establish the simulator’s foundation by importing the required libraries and defining the core PBFT message types. We formalize network messages and parameters using dataclasses to ensure structured, consistent communication. We also define constants representing the three PBFT phases used throughout the system.
def __init__(self, cfg: NetConfig):
self.cfg = cfg
self.nodes: Dict[int, “Node”] = {}
def register(self, node: “Node”):
self.nodes[node.nid] = node
async def send(self, dst: int, msg: Msg):
if random.random() < self.cfg.drop_prob:
return
d = random.uniform(self.cfg.min_delay_ms, self.cfg.max_delay_ms) / 1000.0
await asyncio.sleep(d)
if random.random() < self.cfg.reorder_prob:
await asyncio.sleep(random.uniform(0.0, 0.02))
await self.nodes[dst].inbox.put(msg)
async def broadcast(self, src: int, msg: Msg):
tasks = []
for nid in self.nodes.keys():
tasks.append(asyncio.create_task(self.send(nid, msg)))
await asyncio.gather(*tasks)
We implement an asynchronous network layer that simulates real-world message delivery with delays, reordering, and potential drops. We register nodes dynamically and use asyncio tasks to broadcast messages across the simulated network. We model non-deterministic communication behavior that directly impacts consensus latency and robustness.
class NodeConfig:
n: int
f: int
primary_id: int = 0
view: int = 0
timeout_s: float = 2.0
class Node:
def __init__(self, nid: int, net: Network, cfg: NodeConfig, byzantine: bool = False):
self.nid = nid
self.net = net
self.cfg = cfg
self.byzantine = byzantine
self.inbox: asyncio.Queue[Msg] = asyncio.Queue()
self.preprepare_seen: Dict[int, str] = {}
self.prepare_votes: Dict[Tuple[int, str], Set[int]] = {}
self.commit_votes: Dict[Tuple[int, str], Set[int]] = {}
self.committed: Dict[int, str] = {}
self.running = True
@property
def f(self) -> int:
return self.cfg.f
def _q_prepare(self) -> int:
return 2 * self.f + 1
def _q_commit(self) -> int:
return 2 * self.f + 1
@staticmethod
def digest_of(payload: str) -> str:
return hashlib.sha256(payload.encode(“utf-8”)).hexdigest()
We define the configuration and internal state of each PBFT node participating in the protocol. We initialize data structures for tracking pre-prepare, prepare, and commit votes while supporting both honest and Byzantine behavior. We also implement quorum threshold logic and deterministic digest generation for request validation.
if self.nid != self.cfg.primary_id:
raise ValueError(“Only the primary can propose in this simplified simulator.”)
if not self.byzantine:
dig = self.digest_of(payload)
msg = Msg(PREPREPARE, self.cfg.view, seq, dig, self.nid)
await self.net.broadcast(self.nid, msg)
return
for dst in self.net.nodes.keys():
variant = f”{payload}::to={dst}::salt={random.randint(0,10**9)}”
dig = self.digest_of(variant)
msg = Msg(PREPREPARE, self.cfg.view, seq, dig, self.nid)
await self.net.send(dst, msg)
async def handle_preprepare(self, msg: Msg):
seq = msg.seq
dig = msg.digest
if self.byzantine:
if random.random() < 0.5:
return
fake_dig = dig if random.random() < 0.5 else self.digest_of(dig + “::fake”)
out = Msg(PREPARE, msg.view, seq, fake_dig, self.nid)
await self.net.broadcast(self.nid, out)
return
if seq not in self.preprepare_seen:
self.preprepare_seen[seq] = dig
out = Msg(PREPARE, msg.view, seq, dig, self.nid)
await self.net.broadcast(self.nid, out)
async def handle_prepare(self, msg: Msg):
seq, dig = msg.seq, msg.digest
key = (seq, dig)
voters = self.prepare_votes.setdefault(key, set())
voters.add(msg.sender)
if self.byzantine:
return
if self.preprepare_seen.get(seq) != dig:
return
if len(voters) >= self._q_prepare():
out = Msg(COMMIT, msg.view, seq, dig, self.nid)
await self.net.broadcast(self.nid, out)
async def handle_commit(self, msg: Msg):
seq, dig = msg.seq, msg.digest
key = (seq, dig)
voters = self.commit_votes.setdefault(key, set())
voters.add(msg.sender)
if self.byzantine:
return
if self.preprepare_seen.get(seq) != dig:
return
if seq in self.committed:
return
if len(voters) >= self._q_commit():
self.committed[seq] = dig
We implement the core PBFT protocol logic, including proposal handling and the pre-prepare and prepare phases. We explicitly model Byzantine equivocation by allowing malicious nodes to send conflicting digests to different peers. We advance the protocol to the commit phase once the required prepare quorum is reached.
while self.running:
msg = await self.inbox.get()
if msg.typ == PREPREPARE:
await self.handle_preprepare(msg)
elif msg.typ == PREPARE:
await self.handle_prepare(msg)
elif msg.typ == COMMIT:
await self.handle_commit(msg)
def stop(self):
self.running = False
def pbft_params(n: int) -> int:
return (n – 1) // 3
async def run_single_consensus(
n: int,
malicious: int,
net_cfg: NetConfig,
payload: str = “tx: pay Alice->Bob 5”,
seq: int = 1,
timeout_s: float = 2.0,
seed: Optional[int] = None
) -> Dict[str, object]:
if seed is not None:
random.seed(seed)
f_max = pbft_params(n)
f = f_max
net = Network(net_cfg)
cfg = NodeConfig(n=n, f=f, primary_id=0, view=0, timeout_s=timeout_s)
mal_set = set(random.sample(range(n), k=min(malicious, n)))
nodes: List[Node] = []
for i in range(n):
node = Node(i, net, cfg, byzantine=(i in mal_set))
net.register(node)
nodes.append(node)
tasks = [asyncio.create_task(node.run()) for node in nodes]
t0 = time.perf_counter()
await nodes[cfg.primary_id].propose(payload, seq)
honest = [node for node in nodes if not node.byzantine]
target = max(1, len(honest))
committed_honest = 0
latency = None
async def poll_commits():
nonlocal committed_honest, latency
while True:
committed_honest = sum(1 for node in honest if seq in node.committed)
if committed_honest >= target:
latency = time.perf_counter() – t0
return
await asyncio.sleep(0.005)
try:
await asyncio.wait_for(poll_commits(), timeout=timeout_s)
success = True
except asyncio.TimeoutError:
success = False
latency = None
for node in nodes:
node.stop()
for task in tasks:
task.cancel()
await asyncio.gather(*tasks, return_exceptions=True)
digest_set = set(node.committed.get(seq) for node in honest if seq in node.committed)
agreed = (len(digest_set) == 1) if success else False
return {
“n”: n,
“f”: f,
“malicious”: malicious,
“mal_set”: mal_set,
“success”: success,
“latency_s”: latency,
“honest_committed”: committed_honest,
“honest_total”: len(honest),
“agreed_digest”: agreed,
}
We complete the PBFT state machine by processing commit messages and finalizing decisions once commit quorums are satisfied. We run the node event loop to continuously process incoming messages asynchronously. We also include lifecycle controls to safely stop nodes after each experiment run.
n: int = 10,
max_malicious: Optional[int] = None,
trials_per_point: int = 5,
timeout_s: float = 2.0,
net_cfg: Optional[NetConfig] = None,
seed: int = 7
):
if net_cfg is None:
net_cfg = NetConfig(min_delay_ms=5, max_delay_ms=35, drop_prob=0.0, reorder_prob=0.05)
if max_malicious is None:
max_malicious = n
results = []
random.seed(seed)
for m in range(0, max_malicious + 1):
latencies = []
successes = 0
agreements = 0
for t in range(trials_per_point):
out = await run_single_consensus(
n=n,
malicious=m,
net_cfg=net_cfg,
timeout_s=timeout_s,
seed=seed + 1000*m + t
)
results.append(out)
if out[“success”]:
successes += 1
latencies.append(out[“latency_s”])
if out[“agreed_digest”]:
agreements += 1
avg_lat = sum(latencies)/len(latencies) if latencies else None
print(
f”malicious={m:2d} | success={successes}/{trials_per_point} ”
f”| avg_latency={avg_lat if avg_lat is not None else ‘NA’} ”
f”| digest_agreement={agreements}/{successes if successes else 1}”
)
return results
def plot_latency(results: List[Dict[str, object]], trials_per_point: int):
by_m = {}
for r in results:
m = r[“malicious”]
by_m.setdefault(m, []).append(r)
xs, ys = [], []
success_rate = []
for m in sorted(by_m.keys()):
group = by_m[m]
lats = [g[“latency_s”] for g in group if g[“latency_s”] is not None]
succ = sum(1 for g in group if g[“success”])
xs.append(m)
ys.append(sum(lats)/len(lats) if lats else float(“nan”))
success_rate.append(succ / len(group))
plt.figure()
plt.plot(xs, ys, marker=”o”)
plt.xlabel(“Number of malicious (Byzantine) nodes”)
plt.ylabel(“Consensus latency (seconds) — avg over successes”)
plt.title(“PBFT Simulator: Latency vs Malicious Nodes”)
plt.grid(True)
plt.show()
plt.figure()
plt.plot(xs, success_rate, marker=”o”)
plt.xlabel(“Number of malicious (Byzantine) nodes”)
plt.ylabel(“Success rate”)
plt.title(“PBFT Simulator: Success Rate vs Malicious Nodes”)
plt.ylim(-0.05, 1.05)
plt.grid(True)
plt.show()
async def main():
n = 10
trials = 6
f = pbft_params(n)
print(f”n={n} => PBFT theoretical max f = floor((n-1)/3) = {f}”)
print(“Theory: safety/liveness typically assumed when malicious <= f and timing assumptions hold.\n”)
results = await latency_sweep(
n=n,
max_malicious=min(n, f + 6),
trials_per_point=trials,
timeout_s=2.0,
net_cfg=NetConfig(min_delay_ms=5, max_delay_ms=35, drop_prob=0.0, reorder_prob=0.05),
seed=11
)
plot_latency(results, trials)
await main()
We orchestrate large-scale experiments by sweeping across different numbers of malicious nodes and collecting latency statistics. We aggregate results to analyze consensus success rates and visualize system behavior using plots. We run the full experiment pipeline and observe how PBFT degrades as the number of Byzantine faults approaches and exceeds theoretical limits.
In conclusion, we gained hands-on insight into how PBFT behaves beyond textbook guarantees and how adversarial pressure impacts both latency and liveness in practice. We saw how quorum thresholds enforce safety, why consensus breaks down once Byzantine nodes exceed the tolerated bound, and how asynchronous networks amplify these effects. This implementation provides a practical foundation for experimenting with more advanced distributed-systems concepts, such as view changes, leader rotation, or authenticated messaging. It helps us build intuition for the design trade-offs that underpin modern blockchain and distributed trust systems.
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