diff --git a/src/v0.8/core/statistics/library/StatisticsLIB.sol b/src/v0.8/core/statistics/library/StatisticsLIB.sol
index 08dbb267..6642066a 100644
--- a/src/v0.8/core/statistics/library/StatisticsLIB.sol
+++ b/src/v0.8/core/statistics/library/StatisticsLIB.sol
@@ -30,7 +30,7 @@ library StatisticsLIB {
     function addTotal(
         StatisticsType.Statistics storage self,
         uint256 size
-    ) external {
+    ) internal {
         self.total += size;
     }
 
@@ -38,7 +38,7 @@ library StatisticsLIB {
     function addSuccess(
         StatisticsType.Statistics storage self,
         uint256 size
-    ) external {
+    ) internal {
         uint256 ongoing = self.total - self.success - self.failed;
         require(size <= ongoing, "invalid size to addSuccess");
         self.success += size;
@@ -48,7 +48,7 @@ library StatisticsLIB {
     function addFailed(
         StatisticsType.Statistics storage self,
         uint256 size
-    ) external {
+    ) internal {
         uint256 ongoing = self.total - self.success - self.failed;
         require(size <= ongoing, "invalid size to addFailed");
         self.failed += size;
@@ -58,7 +58,7 @@ library StatisticsLIB {
     function getOverview(
         StatisticsType.Statistics storage self
     )
-        external
+        internal
         view
         returns (
             uint256 total,
diff --git a/src/v0.8/core/statistics/library/StorageProvidersStatisticsLIB.sol b/src/v0.8/core/statistics/library/StorageProvidersStatisticsLIB.sol
index deeeb2de..ba9f411f 100644
--- a/src/v0.8/core/statistics/library/StorageProvidersStatisticsLIB.sol
+++ b/src/v0.8/core/statistics/library/StorageProvidersStatisticsLIB.sol
@@ -34,7 +34,7 @@ library StorageProvidersStatisticsLIB {
         StatisticsType.StorageProvidersStatistics storage self,
         uint64 storageProvider,
         uint256 size
-    ) external {
+    ) internal {
         require(size != 0, "invalid size to addStoraged");
 
         if (self.storageProviderInfos[storageProvider] == 0) {
@@ -50,7 +50,7 @@ library StorageProvidersStatisticsLIB {
     /// @return storageProviders Array of storage providers.
     function getOverview(
         StatisticsType.StorageProvidersStatistics storage self
-    ) external view returns (uint64[] memory storageProviders) {
+    ) internal view returns (uint64[] memory storageProviders) {
         return (self.storageProviders);
     }
 }
diff --git a/src/v0.8/core/statistics/library/StorageStatisticsLIB.sol b/src/v0.8/core/statistics/library/StorageStatisticsLIB.sol
index 4930c06e..53726c4c 100644
--- a/src/v0.8/core/statistics/library/StorageStatisticsLIB.sol
+++ b/src/v0.8/core/statistics/library/StorageStatisticsLIB.sol
@@ -30,7 +30,7 @@ library StorageStatisticsLIB {
     function addAllocated(
         StatisticsType.StorageStatistics storage self,
         uint256 size
-    ) external {
+    ) internal {
         uint256 unAllocated = self.total - self.allocatedDatacap;
         //solhint-disable-next-line
         require(unAllocated >= size, "invalid size to addAllocated");
@@ -41,7 +41,7 @@ library StorageStatisticsLIB {
     function addCanceled(
         StatisticsType.StorageStatistics storage self,
         uint256 size
-    ) external {
+    ) internal {
         uint256 available = self.allocatedDatacap -
             self.completed -
             self.canceled;
@@ -54,7 +54,7 @@ library StorageStatisticsLIB {
     function addStoraged(
         StatisticsType.StorageStatistics storage self,
         uint256 size
-    ) external {
+    ) internal {
         uint256 available = self.allocatedDatacap -
             self.completed -
             self.canceled;
@@ -72,7 +72,7 @@ library StorageStatisticsLIB {
     /// @return A boolean indicating whether the storage statistics represent a completed state.
     function isStorageCompleted(
         StatisticsType.StorageStatistics storage self
-    ) external view returns (bool) {
+    ) internal view returns (bool) {
         if ((self.completed + self.canceled) == self.total) {
             return true;
         }
@@ -85,7 +85,7 @@ library StorageStatisticsLIB {
     /// @return A boolean indicating whether the storage is considered successful.
     function isStorageSuccessful(
         StatisticsType.StorageStatistics storage self
-    ) external view returns (bool) {
+    ) internal view returns (bool) {
         if (self.completed == self.total) {
             return true;
         }
@@ -102,7 +102,7 @@ library StorageStatisticsLIB {
     function getOverview(
         StatisticsType.StorageStatistics storage self
     )
-        external
+        internal
         view
         returns (
             uint256 total,
diff --git a/src/v0.8/shared/utils/array/ArrayLIB.sol b/src/v0.8/shared/utils/array/ArrayLIB.sol
index 54a2a4fe..1c7405bd 100644
--- a/src/v0.8/shared/utils/array/ArrayLIB.sol
+++ b/src/v0.8/shared/utils/array/ArrayLIB.sol
@@ -184,7 +184,7 @@ library ArrayUint16LIB {
     function mergeSequentialArray(
         uint16[] memory _starts,
         uint16[] memory _ends
-    ) public pure returns (uint16[] memory) {
+    ) internal pure returns (uint16[] memory) {
         // Check if the number of start values matches the number of end values
         require(_starts.length == _ends.length, "start and end not match");
 
@@ -386,7 +386,7 @@ library ArrayUint32LIB {
     function mergeSequentialArray(
         uint32[] memory _starts,
         uint32[] memory _ends
-    ) public pure returns (uint32[] memory) {
+    ) internal pure returns (uint32[] memory) {
         // Check if the number of start values matches the number of end values
         require(_starts.length == _ends.length, "start and end not match");
 
@@ -588,7 +588,7 @@ library ArrayUint64LIB {
     function mergeSequentialArray(
         uint64[] memory _starts,
         uint64[] memory _ends
-    ) public pure returns (uint64[] memory) {
+    ) internal pure returns (uint64[] memory) {
         // Check if the number of start values matches the number of end values
         require(_starts.length == _ends.length, "start and end not match");