diff --git a/Specs/Quint/decideForPastRound.qnt b/Specs/Quint/decideForPastRound.qnt
new file mode 100644
index 000000000..b4d46de91
--- /dev/null
+++ b/Specs/Quint/decideForPastRound.qnt
@@ -0,0 +1,62 @@
+// -*- mode: Bluespec; -*-
+
+module decideForPastRound {
+
+import TendermintDSL.* from "./TendermintDSL"
+export TendermintDSL.*
+
+const testedVal : Address_t
+const otherSet : Set[Address_t]
+val others = otherSet.fold(List(), (s, x) => s.append(x)) 
+
+/*
+- there is a correct validator "testedVal" that we want to observe
+- there need to be faulty processes
+- there are other processes that together with the faulty ones are 2f+1
+- the others include the proposer.
+- the faulty processes help the others to decide in round 0
+- testedVal goes to round 1 upon timeoutPrecommit
+
+*/
+
+run runToDecision = {
+    val nextProposer = Proposer (validatorSet, 0, 1)
+    init
+    .then(valStep(testedVal))
+// proposer sends proposal and other processes receive -> send prevote value
+    .then(all {
+        // others should be at most 2/3.
+        // if this assertion fails the set need to be set differently
+        assert(3 * size(otherSet) <= 2 * size(validators)),  
+        assert(3 * size(otherSet.union(Faulty)) > 2 * size(validators)),  
+        everyoneReceivesProposal(others, validatorList, validatorSet, 0, 0, "blue")
+    })
+
+// Others receive the prevots of others and the faulty ones -> send precommit value
+    .then(ListDeliverAllVotes ("Prevote", others.concat(faultyList), others, validatorSet, 0, 0, "blue"))
+    .then(others.concat(faultyList).length().reps(_ => ListTakeAStep(others)))
+    .then(ListTakeAStep(others))
+
+// Precommit from faulty processes are delivered -> value to others, nil to testedVal
+    .then(ListDeliverAllVotes ("Precommit", faultyList, others, validatorSet, 0, 0, "blue"))
+    .then(ProcessDeliverAllVotes ("Precommit", testedVal, faultyList, validatorSet, 0, 0, "nil"))
+
+// Precommit from others are deliverd to all correct processes
+    .then(ListDeliverAllVotes ("Precommit", others, correctList, validatorSet, 0, 0, "blue"))
+// correct ones (others and testedVal) take steps to process all incoming precommits
+    .then(others.concat(faultyList).length().reps(_ => ListTakeAStep(others.concat(List(testedVal)))))
+
+// at this point others have decided and testedVal is ready to go into next round.
+
+    .then(valStep(testedVal))
+
+// TODO: at this point we are stuck. Let's discuss
+
+//    .then(ProcessDeliverAllVotes ("Precommit", testedVal, faultyList, validatorSet, 0, 0, "blue"))
+ //   .then(valStep(testedVal))
+ //   .then(deliverSomeProposal(testedVal))
+ //   .then(valStep(testedVal))
+// not sure what should happen now.
+}
+
+}
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diff --git a/Specs/Quint/decideForPastRoundTest.qnt b/Specs/Quint/decideForPastRoundTest.qnt
new file mode 100644
index 000000000..a7d54e53a
--- /dev/null
+++ b/Specs/Quint/decideForPastRoundTest.qnt
@@ -0,0 +1,20 @@
+// -*- mode: Bluespec; -*-
+
+module decideForPastRoundTest {
+
+import decideForPastRound(
+    validators = Set("v1", "v2", "v3", "v4"),
+    validatorSet = Set("v1", "v2", "v3", "v4").mapBy(x => 1),
+    Faulty = Set("v1"),
+    Values = Set("red", "blue"),
+    Rounds = Set(0, 1, 2, 3),
+    Heights = Set(0), // , 1, 2, 3)
+    otherSet = Set("v2", "v3"),
+    testedVal = ("v4")
+) as N4F1 from "./decideForPastRound"
+
+run decidePastTest = {
+    N4F1::runToDecision
+}
+
+}
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