diff --git a/src/storm/logic/FragmentSpecification.cpp b/src/storm/logic/FragmentSpecification.cpp
index 2487dcd86..648dd2bf0 100644
--- a/src/storm/logic/FragmentSpecification.cpp
+++ b/src/storm/logic/FragmentSpecification.cpp
@@ -66,6 +66,7 @@ namespace storm {
             rpatl.setProbabilityOperatorsAllowed(true);
             rpatl.setReachabilityProbabilityFormulasAllowed(true);
             rpatl.setUntilFormulasAllowed(true);
+            rpatl.setGloballyFormulasAllowed(true);
 
             return rpatl;
         }
diff --git a/src/storm/modelchecker/rpatl/SparseSmgRpatlModelChecker.cpp b/src/storm/modelchecker/rpatl/SparseSmgRpatlModelChecker.cpp
index 97dc26054..bc20aadec 100644
--- a/src/storm/modelchecker/rpatl/SparseSmgRpatlModelChecker.cpp
+++ b/src/storm/modelchecker/rpatl/SparseSmgRpatlModelChecker.cpp
@@ -112,6 +112,8 @@ namespace storm {
                 return this->computeReachabilityProbabilities(env, checkTask.substituteFormula(formula.asReachabilityProbabilityFormula()));
             } else if (formula.isUntilFormula()) {
                 return this->computeUntilProbabilities(env, checkTask.substituteFormula(formula.asUntilFormula()));
+            } else if (formula.isGloballyFormula()) {
+                return this->computeGloballyProbabilities(env, checkTask.substituteFormula(formula.asGloballyFormula()));
             }
             STORM_LOG_THROW(false, storm::exceptions::InvalidArgumentException, "The given formula '" << formula << "' is invalid.");
         }
@@ -144,7 +146,21 @@ namespace storm {
             return result;
         }
 
-        template<typename SparseSmgModelType>
+        template<typename ModelType>
+        std::unique_ptr<CheckResult> SparseSmgRpatlModelChecker<ModelType>::computeGloballyProbabilities(Environment const& env, CheckTask<storm::logic::GloballyFormula, ValueType> const& checkTask) {
+            storm::logic::GloballyFormula const& pathFormula = checkTask.getFormula();
+            std::unique_ptr<CheckResult> subResultPointer = this->check(env, pathFormula.getSubformula());
+            ExplicitQualitativeCheckResult const& subResult = subResultPointer->asExplicitQualitativeCheckResult();
+
+            auto ret = storm::modelchecker::helper::SparseSmgRpatlHelper<ValueType>::computeGloballyProbabilities(env, storm::solver::SolveGoal<ValueType>(this->getModel(), checkTask), this->getModel().getTransitionMatrix(), this->getModel().getBackwardTransitions(), subResult.getTruthValuesVector(), checkTask.isQualitativeSet(), statesOfCoalition, checkTask.isProduceSchedulersSet(), checkTask.getHint());
+            std::unique_ptr<CheckResult> result(new ExplicitQuantitativeCheckResult<ValueType>(std::move(ret.values)));
+            if (checkTask.isProduceSchedulersSet() && ret.scheduler) {
+                result->asExplicitQuantitativeCheckResult<ValueType>().setScheduler(std::move(ret.scheduler));
+            }
+            return result;
+        }
+
+            template<typename SparseSmgModelType>
         std::unique_ptr<CheckResult> SparseSmgRpatlModelChecker<SparseSmgModelType>::computeLongRunAverageProbabilities(Environment const& env, CheckTask<storm::logic::StateFormula, ValueType> const& checkTask) {
             STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "NYI");
         }
diff --git a/src/storm/modelchecker/rpatl/SparseSmgRpatlModelChecker.h b/src/storm/modelchecker/rpatl/SparseSmgRpatlModelChecker.h
index dfbd47762..4b1dc2547 100644
--- a/src/storm/modelchecker/rpatl/SparseSmgRpatlModelChecker.h
+++ b/src/storm/modelchecker/rpatl/SparseSmgRpatlModelChecker.h
@@ -37,6 +37,7 @@ namespace storm {
             std::unique_ptr<CheckResult> computeRewards(Environment const& env, storm::logic::RewardMeasureType rewardMeasureType, CheckTask<storm::logic::Formula, ValueType> const& checkTask) override;
 
             std::unique_ptr<CheckResult> computeUntilProbabilities(Environment const& env, CheckTask<storm::logic::UntilFormula, ValueType> const& checkTask) override;
+            std::unique_ptr<CheckResult> computeGloballyProbabilities(Environment const& env, CheckTask<storm::logic::GloballyFormula, ValueType> const& checkTask) override;
             std::unique_ptr<CheckResult> computeLongRunAverageProbabilities(Environment const& env, CheckTask<storm::logic::StateFormula, ValueType> const& checkTask) override;
             std::unique_ptr<CheckResult> computeLongRunAverageRewards(Environment const& env, storm::logic::RewardMeasureType rewardMeasureType, CheckTask<storm::logic::LongRunAverageRewardFormula, ValueType> const& checkTask) override;
 
diff --git a/src/storm/modelchecker/rpatl/helper/SparseSmgRpatlHelper.cpp b/src/storm/modelchecker/rpatl/helper/SparseSmgRpatlHelper.cpp
index 8d254b01f..ff8d213af 100644
--- a/src/storm/modelchecker/rpatl/helper/SparseSmgRpatlHelper.cpp
+++ b/src/storm/modelchecker/rpatl/helper/SparseSmgRpatlHelper.cpp
@@ -71,6 +71,20 @@ namespace storm {
                 return completeScheduler;
             }
 
+            template<typename ValueType>
+            MDPSparseModelCheckingHelperReturnType<ValueType> SparseSmgRpatlHelper<ValueType>::computeGloballyProbabilities(Environment const& env, storm::solver::SolveGoal<ValueType>&& goal, storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::SparseMatrix<ValueType> const& backwardTransitions, storm::storage::BitVector const& psiStates, bool qualitative, storm::storage::BitVector statesOfCoalition, bool produceScheduler, ModelCheckerHint const& hint) {
+                // the idea is to implement the definition of globally as in the formula:
+                // G psi = not(F(not psi)) = not(true U (not psi))
+                // so the psiStates are flipped, then the true U part is calculated, at the end the result is flipped again
+                storm::storage::BitVector notPsiStates = ~psiStates;
+                statesOfCoalition.complement();
+                auto result = computeUntilProbabilities(env, std::move(goal), transitionMatrix, backwardTransitions, storm::storage::BitVector(transitionMatrix.getRowGroupCount(), true), notPsiStates, qualitative, statesOfCoalition, produceScheduler, hint);
+                for (auto& element : result.values) {
+                    element = storm::utility::one<ValueType>() - element;
+                }
+                return result;
+            }
+
             template class SparseSmgRpatlHelper<double>;
 #ifdef STORM_HAVE_CARL
             template class SparseSmgRpatlHelper<storm::RationalNumber>;
diff --git a/src/storm/modelchecker/rpatl/helper/SparseSmgRpatlHelper.h b/src/storm/modelchecker/rpatl/helper/SparseSmgRpatlHelper.h
index 7152ab3db..68dee01fb 100644
--- a/src/storm/modelchecker/rpatl/helper/SparseSmgRpatlHelper.h
+++ b/src/storm/modelchecker/rpatl/helper/SparseSmgRpatlHelper.h
@@ -37,6 +37,7 @@ namespace storm {
                 // TODO should probably be renamed in the future:
 
                 static MDPSparseModelCheckingHelperReturnType<ValueType> computeUntilProbabilities(Environment const& env, storm::solver::SolveGoal<ValueType>&& goal, storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::SparseMatrix<ValueType> const& backwardTransitions, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates, bool qualitative, storm::storage::BitVector statesOfCoalition, bool produceScheduler, ModelCheckerHint const& hint = ModelCheckerHint());
+                static MDPSparseModelCheckingHelperReturnType<ValueType> computeGloballyProbabilities(Environment const& env, storm::solver::SolveGoal<ValueType>&& goal, storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::SparseMatrix<ValueType> const& backwardTransitions, storm::storage::BitVector const& psiStates, bool qualitative, storm::storage::BitVector statesOfCoalition, bool produceScheduler, ModelCheckerHint const& hint = ModelCheckerHint());
 
             private:
                 static storm::storage::Scheduler<ValueType> expandScheduler(storm::storage::Scheduler<ValueType> scheduler, storm::storage::BitVector psiStates, storm::storage::BitVector notPhiStates);