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feat(sib-isolation): add Read Atomic Isolation and fix newline #7

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Dec 19, 2024
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feat(sib-isolation): add Read Atomic Isolation and fix newline #7

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2 changes: 1 addition & 1 deletion isolation-models/ALL_TESTS.tla
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Expand Up @@ -2,4 +2,4 @@

EXTENDS SIB_TESTS

======================================================
======================================================
21 changes: 20 additions & 1 deletion isolation-models/SIB_ISOLATION.tla
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Expand Up @@ -19,6 +19,7 @@ SetToSeqs(S) ≜
SeqToSet(S) ≜ { S[x] : x ∈ S}

Max(S) ≜ CHOOSE x ∈ S: ∀ y ∈ S: x ≥ y
Min(S) ≜ CHOOSE x ∈ S: ∀ y ∈ S: x ≤ y

----------------------------------------------------
\* States
Expand Down Expand Up @@ -132,6 +133,22 @@ PSI_CT(t, txs, states) ≜
IN ∧ ∀ t1 ∈ ps, ok ∈ ops:
ok ∈ DOMAIN txs[t1].write ⇒ t1 + 1 ≤ slo(ok)

(* Read Atomic Isolation Commit Test:
Intuitively, if an operation o1 observes the writes of a transaction Ti ’s,
all subsequent operations that read a key included in Ti ’s write set must
read from a state that includes Ti ’s effects.
*)
RA_CT(t, txs, states) ≜
∧ RC_CT(t, txs, states)
∧ LET read ≜ txs[t].read
sf(k) ≜ Min({ x ∈ 1 ‥ t : read[k] = states[x][k] })
IN ∀k1, k2 ∈ DOMAIN read:
LET sfr1 ≜ sf(k1)
sfr2 ≜ sf(k2)
tw_sfr1 ≜ IF sfr1 = 1 THEN {} ELSE DOMAIN txs[sfr1 - 1].write
IN k2 ∈ tw_sfr1 ⇒ sfr1 ≤ sfr2


----------------------------------------------------
\* Isolation Executions

Expand All @@ -146,6 +163,7 @@ ReadCommittedExecution(e) ≜ IsolationExecution(e, RC_CT)
ReadUncommittedExecution(e) ≜ IsolationExecution(e, RU_CT)
ParallelSnapshotExecution(e) ≜ IsolationExecution(e, PSI_CT)
StrictSerializableExecution(e) ≜ IsolationExecution(e, SSER_CT)
ReadAtomicExecution(e) ≜ IsolationExecution(e, RA_CT)

----------------------------------------------------
\* Isolation Levels
Expand All @@ -160,5 +178,6 @@ ReadCommittedIsolation(init, transactions) ≜ Isolation(init, transactions, Rea
ReadUncommittedIsolation(init, transactions) ≜ Isolation(init, transactions, ReadUncommittedExecution)
ParallelSnapshotIsolation(init, transactions) ≜ Isolation(init, transactions, ParallelSnapshotExecution)
StrictSerializableIsolation(init, transactions) ≜ Isolation(init, transactions, StrictSerializableExecution)
ReadAtomicIsolation(init, transactions) ≜ Isolation(init, transactions, ReadAtomicExecution)

================================================
================================================
11 changes: 10 additions & 1 deletion isolation-models/SIB_TESTS.tla
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Expand Up @@ -25,4 +25,13 @@ failed_sser_txs ≜
ASSUME SI!SerializableIsolation(init, failed_sser_txs)
ASSUME ¬ SI!StrictSerializableIsolation(init, failed_sser_txs)

======================================================
\* Partial Read
pr_txs ≜
{ [ tid ↦ "t1", read ↦ ⟨⟩, write ↦ [k1 ↦ 1, k2 ↦ 1]]
, [ tid ↦ "t2", read ↦ [k1 ↦ 1, k2 ↦ 0], write ↦ ⟨⟩]
}

ASSUME SI!ReadCommittedIsolation(init, pr_txs)
ASSUME ¬ SI!ReadAtomicIsolation(init, pr_txs)

======================================================
2 changes: 1 addition & 1 deletion multi-paxos-eb0/MultiPaxos.tla
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Expand Up @@ -188,4 +188,4 @@ Spec ≜ Init ∧ □[Next]_vars
Inv ≜ ∧ TypeOK
∧ ∀c1, c2 ∈ committed:
c1.seq = c2.seq ⇒ c1.val = c2.val
============================================================================
============================================================================
2 changes: 1 addition & 1 deletion paxos-eb0/PaxosEb0.tla
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Expand Up @@ -108,4 +108,4 @@ Spec ≜ Init ∧ □[Next]_vars

Inv ≜ ∧ TypeOK
∧ ∀ v1 ∈ committed, v2 ∈ committed: v1 = v2
============================================================================
============================================================================
2 changes: 1 addition & 1 deletion percolator/MC_SIB_SNAPSHOT.tla
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Expand Up @@ -43,4 +43,4 @@ SnapshotInv ≜ AllTxsDone ⇒
\* SerializableIsolation will fail, Because exists write skew executions
\* ∧ SI!SerializableIsolation(InitState, MappedTxs)

============================================================================
============================================================================
2 changes: 1 addition & 1 deletion percolator/Percolator.tla
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Expand Up @@ -215,4 +215,4 @@ TypeOK ≜

Inv ≜ TypeOK

============================================================================
============================================================================
2 changes: 1 addition & 1 deletion percolator/SnapshotRead.tla
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Expand Up @@ -40,4 +40,4 @@ SnapshotReadInv ≜
∨ LET r ≜ txs["t2"].read
IN 20 = r["k1"] + r["k2"]

============================================================================
============================================================================
2 changes: 1 addition & 1 deletion percolator/Transfer.tla
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Expand Up @@ -37,4 +37,4 @@ AtomicRead ≜

TransferInv ≜ Inv ∧ AtomicRead

============================================================================
============================================================================
2 changes: 1 addition & 1 deletion sequencer/MCSequencer.tla
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Expand Up @@ -15,4 +15,4 @@ Constraint ≜
∧ nextRid < 7
∧ storage < 7

====
====
2 changes: 1 addition & 1 deletion sequencer/Sequencer.tla
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Expand Up @@ -128,4 +128,4 @@ LinearizableHistory ≜

Inv ≜ LinearizableHistory

============================================================================
============================================================================
2 changes: 1 addition & 1 deletion simplified-fast-paxos/SimplifiedFastPaxos.tla
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Expand Up @@ -123,4 +123,4 @@ Spec ≜ Init ∧ □[Next]_vars

Inv ≜ ∧ TypeOK
∧ ∀ v1 ∈ committed, v2 ∈ committed: v1 = v2
============================================================================
============================================================================
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