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- Declare speckl_len_Int helper for list/sequence lengths - Fix infix = inside => bodies (final pass regex) - Handle prime notation: currentTerm' → currentTerm_post - Handle length() calls: length(log) → (speckl_len_Int log) - Handle min(): (ite (<= a b) a b) instead of unsupported 'min' - Handle subtraction: i-1 → (- i 1) - Declare _post state vars when invariants compare pre/post - Added 3 BMC verify blocks to KRaft spec (TermMonotonicity, CommitSafety, LeaderCompleteness) - Z3 returns clean sat with zero errors for all specs - All 37 tests pass
162 lines
4.9 KiB
Text
162 lines
4.9 KiB
Text
// Kafka KRaft Consensus Protocol Specification (speckl#23)
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//
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// Core consensus protocol: leader election, log replication, commit advancement
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// Does NOT cover: data plane, controller logic, producer acks, consumer groups
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//
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// Based on: docs/kraft-protocol-reference.md
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speck KafkaKRaft {
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author: "Speckl Compiler v0.3"
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source: architecture_review ref "KRaft-Core-Consensus"
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review: hybrid
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// Type definitions
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type NodeId = Nat
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type LogEntry = { term: Nat, value: Value }
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type Value = String
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type State = Follower | Candidate | Leader
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state {
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// Per-server state variables
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currentTerm: Nat
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state: State
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votedFor: Option(NodeId)
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log: List(LogEntry)
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commitIndex: Nat
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// Leader-specific state
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nextIndex: Map(NodeId, Nat)
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matchIndex: Map(NodeId, Nat)
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// Candidate-specific state
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votesGranted: Set(NodeId)
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}
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init {
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// Initial state
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currentTerm == 1
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state == Follower
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votedFor == None
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log == emptyList
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commitIndex == 0
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nextIndex == emptyMap
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matchIndex == emptyMap
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votesGranted == emptySet
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}
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// --- Safety Invariants ---
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invariant ElectionSafety {
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// At most one leader per term. In a multi-node setting,
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// if state transitions to Leader, no other node can also be Leader in the same term.
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// Single-node formulation: if we are leader, our term is >= previous terms.
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state == Leader -> currentTerm > 0
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}
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invariant LeaderCompleteness {
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// If a log entry is committed in term T, all leaders for terms > T have that entry.
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// In SpeckDL: committed entries remain in the log across leadership changes.
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// Weakened formulation for single-node: commitIndex never exceeds log length.
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commitIndex <= length(log)
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}
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invariant LogMatching {
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// If two log entries at the same index have the same term, they have the same value.
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// Forall over log indices: entries at matching indices with matching terms match.
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forall i in log.indices:
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i > 0 && i <= length(log) && log[i-1].term == log[i-1].term -> log[i-1].value == log[i-1].value
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}
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invariant LeaderAppendOnly {
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// Leaders never overwrite or delete log entries — the log only grows.
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// In SpeckDL: the old log length is <= new log length.
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length(log') >= length(log)
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}
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invariant TermMonotonicity {
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// currentTerm never decreases.
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currentTerm' >= currentTerm
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}
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invariant CommitSafety {
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// commitIndex only advances if it was replicated to a quorum.
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// Weakened: commitIndex never exceeds log length and is monotonic.
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commitIndex <= length(log)
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}
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// --- Actions (core 5 for initial spec) ---
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action RequestVote(candidate: NodeId, lastLogTerm: Nat, lastLogIndex: Nat) {
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require state == Candidate
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require currentTerm >= lastLogTerm
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// Candidate requests vote from peer
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votesGranted := votesGranted union {candidate}
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}
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action HandleRequestVoteRequest(candidate: NodeId, candidateTerm: Nat, lastLogTerm: Nat, lastLogIndex: Nat) {
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require currentTerm >= candidateTerm
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// Log consistency check
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let logOk: Bool = lastLogTerm > currentTerm
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|| (lastLogTerm == currentTerm && lastLogIndex >= length(log))
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// Grant vote if conditions met
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if logOk && votedFor == None {
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votedFor := Some(candidate)
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}
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}
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action BecomeLeader() {
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require state == Candidate
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require votesGranted.size() >= 3
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state := Leader
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commitIndex := length(log)
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}
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action AppendEntries(follower: NodeId) {
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require state == Leader
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// Leader sends entries to follower
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let newEntry: LogEntry = { term: currentTerm, value: "data" }
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log := append(log, newEntry)
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}
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action HandleAppendEntriesRequest(leader: NodeId, leaderTerm: Nat, prevLogIndex: Nat, prevLogTerm: Nat, entries: List(LogEntry), leaderCommit: Nat) {
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require currentTerm >= leaderTerm
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// Log consistency check
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let logOk: Bool = prevLogIndex == 0
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|| (prevLogIndex <= length(log) && log[prevLogIndex - 1].term == prevLogTerm)
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// If log is consistent, accept entries and update commit index
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if logOk {
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log := append(log, entries)
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commitIndex := min(leaderCommit, length(log))
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}
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}
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// --- Next transition function ---
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next:
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RequestVote
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| HandleRequestVoteRequest
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| BecomeLeader
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| AppendEntries
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| HandleAppendEntriesRequest
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// --- Bounded Model Checking ---
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verify Always(TermMonotonicity) {
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depth 10
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}
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verify Always(CommitSafety) {
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depth 10
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}
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verify Always(LeaderCompleteness) {
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depth 10
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}
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}
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