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MC4_4_faulty_TestHalfValsetChanges.tla
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MC4_4_faulty_TestHalfValsetChanges.tla
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------------------------- MODULE counterexample -------------------------
EXTENDS MC4_4_faulty
(* Initial state *)
State1 ==
TRUE
(* Transition 0 to State2 *)
State2 ==
/\ Faulty = {}
/\ blockchain = 1
:> [NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]
@@ 2
:> [NextVS |-> {"n2"},
VS |-> {"n1"},
height |-> 2,
lastCommit |-> { "n1", "n3", "n4" },
time |-> 2]
@@ 3
:> [NextVS |-> { "n2", "n3", "n4" },
VS |-> {"n2"},
height |-> 3,
lastCommit |-> {"n1"},
time |-> 3]
@@ 4
:> [NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]
@@ 5
:> [NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 5,
lastCommit |-> { "n2", "n3", "n4" },
time |-> 5]
/\ fetchedLightBlocks = 1
:> [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
/\ history = 0
:> [current |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]],
now |-> 5,
verdict |-> "SUCCESS",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
/\ latestVerified = [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
/\ lightBlockStatus = 1 :> "StateVerified"
/\ nextHeight = 4
/\ now = 5
/\ nprobes = 0
/\ prevCurrent = [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
/\ prevNow = 5
/\ prevVerdict = "SUCCESS"
/\ prevVerified = [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
/\ state = "working"
(* Transition 1 to State3 *)
State3 ==
/\ Faulty = {}
/\ blockchain = 1
:> [NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]
@@ 2
:> [NextVS |-> {"n2"},
VS |-> {"n1"},
height |-> 2,
lastCommit |-> { "n1", "n3", "n4" },
time |-> 2]
@@ 3
:> [NextVS |-> { "n2", "n3", "n4" },
VS |-> {"n2"},
height |-> 3,
lastCommit |-> {"n1"},
time |-> 3]
@@ 4
:> [NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]
@@ 5
:> [NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 5,
lastCommit |-> { "n2", "n3", "n4" },
time |-> 5]
/\ fetchedLightBlocks = 1
:> [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
@@ 4
:> [Commits |-> { "n2", "n3", "n4" },
header |->
[NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]]
/\ history = 0
:> [current |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]],
now |-> 5,
verdict |-> "SUCCESS",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
@@ 1
:> [current |->
[Commits |-> { "n2", "n3", "n4" },
header |->
[NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]],
now |-> 5,
verdict |-> "NOT_ENOUGH_TRUST",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
/\ latestVerified = [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
/\ lightBlockStatus = 1 :> "StateVerified" @@ 4 :> "StateUnverified"
/\ nextHeight = 3
/\ now = 5
/\ nprobes = 1
/\ prevCurrent = [Commits |-> { "n2", "n3", "n4" },
header |->
[NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]]
/\ prevNow = 5
/\ prevVerdict = "NOT_ENOUGH_TRUST"
/\ prevVerified = [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
/\ state = "working"
(* Transition 3 to State4 *)
State4 ==
/\ Faulty = {}
/\ blockchain = 1
:> [NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]
@@ 2
:> [NextVS |-> {"n2"},
VS |-> {"n1"},
height |-> 2,
lastCommit |-> { "n1", "n3", "n4" },
time |-> 2]
@@ 3
:> [NextVS |-> { "n2", "n3", "n4" },
VS |-> {"n2"},
height |-> 3,
lastCommit |-> {"n1"},
time |-> 3]
@@ 4
:> [NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]
@@ 5
:> [NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 5,
lastCommit |-> { "n2", "n3", "n4" },
time |-> 5]
/\ fetchedLightBlocks = 1
:> [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
@@ 3
:> [Commits |-> {"n2"},
header |->
[NextVS |-> { "n2", "n3", "n4" },
VS |-> {"n2"},
height |-> 3,
lastCommit |-> {"n1"},
time |-> 3]]
@@ 4
:> [Commits |-> { "n2", "n3", "n4" },
header |->
[NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]]
/\ history = 0
:> [current |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]],
now |-> 5,
verdict |-> "SUCCESS",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
@@ 1
:> [current |->
[Commits |-> { "n2", "n3", "n4" },
header |->
[NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]],
now |-> 5,
verdict |-> "NOT_ENOUGH_TRUST",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
@@ 2
:> [current |->
[Commits |-> {"n2"},
header |->
[NextVS |-> { "n2", "n3", "n4" },
VS |-> {"n2"},
height |-> 3,
lastCommit |-> {"n1"},
time |-> 3]],
now |-> 5,
verdict |-> "NOT_ENOUGH_TRUST",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
/\ latestVerified = [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
/\ lightBlockStatus = 1 :> "StateVerified" @@ 3 :> "StateUnverified" @@ 4 :> "StateUnverified"
/\ nextHeight = 2
/\ now = 1400
/\ nprobes = 2
/\ prevCurrent = [Commits |-> {"n2"},
header |->
[NextVS |-> { "n2", "n3", "n4" },
VS |-> {"n2"},
height |-> 3,
lastCommit |-> {"n1"},
time |-> 3]]
/\ prevNow = 5
/\ prevVerdict = "NOT_ENOUGH_TRUST"
/\ prevVerified = [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
/\ state = "working"
(* Transition 3 to State5 *)
State5 ==
/\ Faulty = {}
/\ blockchain = 1
:> [NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]
@@ 2
:> [NextVS |-> {"n2"},
VS |-> {"n1"},
height |-> 2,
lastCommit |-> { "n1", "n3", "n4" },
time |-> 2]
@@ 3
:> [NextVS |-> { "n2", "n3", "n4" },
VS |-> {"n2"},
height |-> 3,
lastCommit |-> {"n1"},
time |-> 3]
@@ 4
:> [NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]
@@ 5
:> [NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 5,
lastCommit |-> { "n2", "n3", "n4" },
time |-> 5]
/\ fetchedLightBlocks = 1
:> [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
@@ 2
:> [Commits |-> {"n1"},
header |->
[NextVS |-> {"n2"},
VS |-> {"n1"},
height |-> 2,
lastCommit |-> { "n1", "n3", "n4" },
time |-> 2]]
@@ 3
:> [Commits |-> {"n2"},
header |->
[NextVS |-> { "n2", "n3", "n4" },
VS |-> {"n2"},
height |-> 3,
lastCommit |-> {"n1"},
time |-> 3]]
@@ 4
:> [Commits |-> { "n2", "n3", "n4" },
header |->
[NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]]
/\ history = 0
:> [current |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]],
now |-> 5,
verdict |-> "SUCCESS",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
@@ 1
:> [current |->
[Commits |-> { "n2", "n3", "n4" },
header |->
[NextVS |-> { "n1", "n2", "n3", "n4" },
VS |-> { "n2", "n3", "n4" },
height |-> 4,
lastCommit |-> {"n2"},
time |-> 4]],
now |-> 5,
verdict |-> "NOT_ENOUGH_TRUST",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
@@ 2
:> [current |->
[Commits |-> {"n2"},
header |->
[NextVS |-> { "n2", "n3", "n4" },
VS |-> {"n2"},
height |-> 3,
lastCommit |-> {"n1"},
time |-> 3]],
now |-> 5,
verdict |-> "NOT_ENOUGH_TRUST",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
@@ 3
:> [current |->
[Commits |-> {"n1"},
header |->
[NextVS |-> {"n2"},
VS |-> {"n1"},
height |-> 2,
lastCommit |-> { "n1", "n3", "n4" },
time |-> 2]],
now |-> 1400,
verdict |-> "SUCCESS",
verified |->
[Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]]
/\ latestVerified = [Commits |-> {"n1"},
header |->
[NextVS |-> {"n2"},
VS |-> {"n1"},
height |-> 2,
lastCommit |-> { "n1", "n3", "n4" },
time |-> 2]]
/\ lightBlockStatus = 1 :> "StateVerified"
@@ 2 :> "StateVerified"
@@ 3 :> "StateUnverified"
@@ 4 :> "StateUnverified"
/\ nextHeight = 3
/\ now = 1400
/\ nprobes = 3
/\ prevCurrent = [Commits |-> {"n1"},
header |->
[NextVS |-> {"n2"},
VS |-> {"n1"},
height |-> 2,
lastCommit |-> { "n1", "n3", "n4" },
time |-> 2]]
/\ prevNow = 1400
/\ prevVerdict = "SUCCESS"
/\ prevVerified = [Commits |-> { "n1", "n2", "n3", "n4" },
header |->
[NextVS |-> {"n1"},
VS |-> { "n1", "n2", "n3", "n4" },
height |-> 1,
lastCommit |-> {},
time |-> 1]]
/\ state = "working"
(* The following formula holds true in the last state and violates the invariant *)
InvariantViolation ==
Cardinality((DOMAIN fetchedLightBlocks)) = 4
/\ BMC!Skolem((\E s1$2 \in DOMAIN history:
BMC!Skolem((\E s2$2 \in DOMAIN history:
s2$2 = s1$2 + 1
/\ BMC!ConstCardinality((Cardinality(history[s1$2]["current"][
"header"
][
"VS"
])
>= 3))
/\ 2
* Cardinality({
t_2r$1 \in history[s1$2]["current"]["header"]["VS"]:
t_2r$1 \in history[s2$2]["current"]["header"]["VS"]
})
< Cardinality(history[s1$2]["current"]["header"]["VS"])))))
================================================================================
\* Created by Apalache on Wed Nov 18 12:40:16 UTC 2020
\* https://github.com/informalsystems/apalache