diff --git a/src/storm-pars-cli/storm-pars.cpp b/src/storm-pars-cli/storm-pars.cpp
index c44989300..ed4e645d3 100644
--- a/src/storm-pars-cli/storm-pars.cpp
+++ b/src/storm-pars-cli/storm-pars.cpp
@@ -531,14 +531,6 @@ namespace storm {
                 std::vector<std::shared_ptr<storm::logic::Formula const>> formulas = storm::api::extractFormulasFromProperties(input.properties);
                 std::shared_ptr<storm::models::sparse::Model<ValueType>> sparseModel = model->as<storm::models::sparse::Model<ValueType>>();
 
-                // Check if MC is acyclic
-                auto decomposition = storm::storage::StronglyConnectedComponentDecomposition<ValueType>(sparseModel->getTransitionMatrix(), false, false);
-                for (auto i = 0; i < decomposition.size(); ++i) {
-                    auto scc = decomposition.getBlock(i);
-                    STORM_LOG_THROW(scc.size() <= 1, storm::exceptions::NotSupportedException, "Cycle found, not supporting cyclic MCs");
-                }
-
-
                 // Transform to Lattices
                 storm::utility::Stopwatch latticeWatch(true);
                 storm::analysis::LatticeExtender<ValueType> *extender = new storm::analysis::LatticeExtender<ValueType>(sparseModel);
diff --git a/src/storm-pars/analysis/AssumptionMaker.cpp b/src/storm-pars/analysis/AssumptionMaker.cpp
index 9cef9ab3c..280183184 100644
--- a/src/storm-pars/analysis/AssumptionMaker.cpp
+++ b/src/storm-pars/analysis/AssumptionMaker.cpp
@@ -65,7 +65,9 @@ namespace storm {
                 auto val2 = std::get<2>(criticalTriple);
                 storm::expressions::Variable var1 = expressionManager->getVariable(std::to_string(val1));
                 storm::expressions::Variable var2 = expressionManager->getVariable(std::to_string(val2));
+                // TODO: check of in lattice de relatie niet al andersom bestaat
 
+                assert(lattice->compare(val1, val2) == storm::analysis::Lattice::UNKNOWN);
                 auto latticeCopy = new Lattice(lattice);
                 std::vector<std::shared_ptr<storm::expressions::BinaryRelationExpression>> assumptionsCopy = std::vector<std::shared_ptr<storm::expressions::BinaryRelationExpression>>(
                         assumptions);
diff --git a/src/storm-pars/analysis/LatticeExtender.cpp b/src/storm-pars/analysis/LatticeExtender.cpp
index b4be618ed..a26713fa7 100644
--- a/src/storm-pars/analysis/LatticeExtender.cpp
+++ b/src/storm-pars/analysis/LatticeExtender.cpp
@@ -17,6 +17,8 @@
 #include "storm/exceptions/NotSupportedException.h"
 
 #include <set>
+#include <storm/storage/StronglyConnectedComponentDecomposition.h>
+#include <storm/storage/StronglyConnectedComponent.h>
 
 #include "storm/storage/BitVector.h"
 #include "storm/utility/macros.h"
@@ -25,8 +27,35 @@ namespace storm {
     namespace analysis {
 
         template<typename ValueType>
-        LatticeExtender<ValueType>::LatticeExtender(std::shared_ptr<storm::models::sparse::Model<ValueType>> model) : model(model) {
-            // intentionally left empty
+        LatticeExtender<ValueType>::LatticeExtender(std::shared_ptr<storm::models::sparse::Model<ValueType>> model) {
+            this->model = model;
+
+            initialMiddleStates = storm::storage::BitVector(model->getNumberOfStates());
+            // Check if MC is acyclic
+            auto decomposition = storm::storage::StronglyConnectedComponentDecomposition<ValueType>(model->getTransitionMatrix(), false, false);
+            for (auto i = 0; i < decomposition.size(); ++i) {
+                auto scc = decomposition.getBlock(i);
+                if (scc.size() > 1) {
+                    auto states = scc.getStates();
+                    bool added = false;
+                    for (auto itr = states.begin(); !added && itr != states.end(); ++itr) {
+                        auto state = *itr;
+                        storm::storage::BitVector subSystem = storm::storage::BitVector(model->getNumberOfStates());
+                        subSystem.set(states.begin(), states.end(), true);
+                        subSystem.set(state, false);
+                        auto subDecomposition = storm::storage::StronglyConnectedComponentDecomposition<ValueType>(model->getTransitionMatrix(), subSystem, false, false);
+                        bool acyclic = true;
+                        for (auto i = 0; acyclic && i < subDecomposition.size(); ++i) {
+                            auto subScc = subDecomposition.getBlock(i);
+                            acyclic = subScc.size() <= 1;
+                        }
+                        if (acyclic) {
+                            initialMiddleStates.set(state);
+                            added = true;
+                        }
+                    }
+                }
+            }
         }
 
         template <typename ValueType>
@@ -71,6 +100,9 @@ namespace storm {
 
             // Create the Lattice
             storm::analysis::Lattice *lattice = new storm::analysis::Lattice(topStates, bottomStates, numberOfStates);
+            for (auto state = initialMiddleStates.getNextSetIndex(0); state != numberOfStates; state = initialMiddleStates.getNextSetIndex(state + 1)) {
+                lattice->add(state);
+            }
             return this->extendLattice(lattice);
         }
 
@@ -110,8 +142,9 @@ namespace storm {
                 }
             }
 
-            auto oldNumberSet = lattice->getAddedStates().getNumberOfSetBits();
-            while (lattice->getAddedStates().getNumberOfSetBits() != numberOfStates) {
+            auto oldNumberSet = numberOfStates;
+            while (oldNumberSet != lattice->getAddedStates().getNumberOfSetBits()) {
+                oldNumberSet = lattice->getAddedStates().getNumberOfSetBits();
                 for (auto stateItr = stateMap.begin(); stateItr != stateMap.end(); ++stateItr) {
                     storm::storage::BitVector seenStates = (lattice->getAddedStates());
                     // Iterate over all states
@@ -169,12 +202,6 @@ namespace storm {
                         lattice->addBetween(stateNumber, lattice->getNode(highest), lattice->getNode(lowest));
                     }
                 }
-                // Nothing changed and not done yet
-                if (oldNumberSet == lattice->getAddedStates().getNumberOfSetBits()) {
-                    // add the first unset state to the lattice between top and bottom
-                    lattice->add(lattice->getAddedStates().getNextUnsetIndex(0));
-                }
-                oldNumberSet = lattice->getAddedStates().getNumberOfSetBits();
             }
             return std::make_tuple(lattice, numberOfStates, numberOfStates);
         }
diff --git a/src/storm-pars/analysis/LatticeExtender.h b/src/storm-pars/analysis/LatticeExtender.h
index 48bb7123a..8737c8f9e 100644
--- a/src/storm-pars/analysis/LatticeExtender.h
+++ b/src/storm-pars/analysis/LatticeExtender.h
@@ -53,6 +53,8 @@ namespace storm {
             std::shared_ptr<storm::models::sparse::Model<ValueType>> model;
 
             std::map<uint_fast64_t, storm::storage::BitVector> stateMap;
+
+            storm::storage::BitVector initialMiddleStates;
         };
     }
 }