diff --git a/compiler/include/zamalang/Dialect/HLFHE/IR/HLFHEOps.td b/compiler/include/zamalang/Dialect/HLFHE/IR/HLFHEOps.td
index 8281ad7a7..a68ee12f3 100644
--- a/compiler/include/zamalang/Dialect/HLFHE/IR/HLFHEOps.td
+++ b/compiler/include/zamalang/Dialect/HLFHE/IR/HLFHEOps.td
@@ -27,6 +27,10 @@ def AddEintIntOp : HLFHE_Op<"add_eint_int"> {
          build($_builder, $_state, a.getType(), a, b);
         }]>
     ];
+
+    let verifier = [{
+        return ::mlir::zamalang::HLFHE::verifyAddEintIntOp(*this);
+    }];
 }
 
 def AddEintOp : HLFHE_Op<"add_eint"> {
@@ -38,6 +42,10 @@ def AddEintOp : HLFHE_Op<"add_eint"> {
          build($_builder, $_state, a.getType(), a, b);
         }]>
     ];
+
+    let verifier = [{
+        return ::mlir::zamalang::HLFHE::verifyAddEintOp(*this);
+    }];
 }
 
 def MulEintIntOp : HLFHE_Op<"mul_eint_int"> {
@@ -49,6 +57,10 @@ def MulEintIntOp : HLFHE_Op<"mul_eint_int"> {
          build($_builder, $_state, a.getType(), a, b);
         }]>
     ];
+
+    let verifier = [{
+        return ::mlir::zamalang::HLFHE::verifyMulEintIntOp(*this);
+    }];
 }
 
 def ApplyLookupTable : HLFHE_Op<"apply_lookup_table"> {
diff --git a/compiler/lib/Dialect/HLFHE/IR/HLFHEOps.cpp b/compiler/lib/Dialect/HLFHE/IR/HLFHEOps.cpp
index d563cc961..4df577034 100644
--- a/compiler/lib/Dialect/HLFHE/IR/HLFHEOps.cpp
+++ b/compiler/lib/Dialect/HLFHE/IR/HLFHEOps.cpp
@@ -8,9 +8,81 @@ namespace mlir {
 namespace zamalang {
 namespace HLFHE {
 
+using mlir::zamalang::HLFHE::AddEintOp;
 using mlir::zamalang::HLFHE::ApplyLookupTable;
 using mlir::zamalang::HLFHE::EncryptedIntegerType;
 
+bool verifyEncryptedIntegerInputAndResultConsistency(
+    ::mlir::OpState &op, EncryptedIntegerType &input,
+    EncryptedIntegerType &result) {
+  if (input.getWidth() != result.getWidth()) {
+    op.emitOpError(
+        " should have the width of encrypted inputs and result equals");
+    return false;
+  }
+  return true;
+}
+
+bool verifyEncryptedIntegerAndIntegerInputsConsistency(::mlir::OpState &op,
+                                                       EncryptedIntegerType &a,
+                                                       IntegerType &b) {
+  if (a.getWidth() + 1 != b.getWidth()) {
+    op.emitOpError(" should have the width of plain input equals to width of "
+                   "encrypted input + 1");
+    return false;
+  }
+  return true;
+}
+
+bool verifyEncryptedIntegerInputsConsistency(::mlir::OpState &op,
+                                             EncryptedIntegerType &a,
+                                             EncryptedIntegerType &b) {
+  if (a.getWidth() != b.getWidth()) {
+    op.emitOpError(" should have the width of encrypted inputs equals");
+    return false;
+  }
+  return true;
+}
+
+::mlir::LogicalResult verifyAddEintIntOp(AddEintIntOp &op) {
+  auto a = op.a().getType().cast<EncryptedIntegerType>();
+  auto b = op.b().getType().cast<IntegerType>();
+  auto out = op.getResult().getType().cast<EncryptedIntegerType>();
+  if (!verifyEncryptedIntegerInputAndResultConsistency(op, a, out)) {
+    return ::mlir::failure();
+  }
+  if (!verifyEncryptedIntegerAndIntegerInputsConsistency(op, a, b)) {
+    return ::mlir::failure();
+  }
+  return ::mlir::success();
+}
+
+::mlir::LogicalResult verifyAddEintOp(AddEintOp &op) {
+  auto a = op.a().getType().cast<EncryptedIntegerType>();
+  auto b = op.b().getType().cast<EncryptedIntegerType>();
+  auto out = op.getResult().getType().cast<EncryptedIntegerType>();
+  if (!verifyEncryptedIntegerInputAndResultConsistency(op, a, out)) {
+    return ::mlir::failure();
+  }
+  if (!verifyEncryptedIntegerInputsConsistency(op, a, b)) {
+    return ::mlir::failure();
+  }
+  return ::mlir::success();
+}
+
+::mlir::LogicalResult verifyMulEintIntOp(MulEintIntOp &op) {
+  auto a = op.a().getType().cast<EncryptedIntegerType>();
+  auto b = op.b().getType().cast<IntegerType>();
+  auto out = op.getResult().getType().cast<EncryptedIntegerType>();
+  if (!verifyEncryptedIntegerInputAndResultConsistency(op, a, out)) {
+    return ::mlir::failure();
+  }
+  if (!verifyEncryptedIntegerAndIntegerInputsConsistency(op, a, b)) {
+    return ::mlir::failure();
+  }
+  return ::mlir::success();
+}
+
 ::mlir::LogicalResult verifyApplyLookupTable(ApplyLookupTable &op) {
   auto ct = op.ct().getType().cast<EncryptedIntegerType>();
   auto l_cst = op.l_cst().getType().cast<MemRefType>();
diff --git a/compiler/tests/Dialect/HLFHE/op_add_eint_err_inputs.mlir b/compiler/tests/Dialect/HLFHE/op_add_eint_err_inputs.mlir
new file mode 100644
index 000000000..01bd02a02
--- /dev/null
+++ b/compiler/tests/Dialect/HLFHE/op_add_eint_err_inputs.mlir
@@ -0,0 +1,7 @@
+// RUN: not zamacompiler %s 2>&1| FileCheck %s
+
+// CHECK-LABEL: error: 'HLFHE.add_eint' op  should have the width of encrypted inputs equals
+func @add_eint(%arg0: !HLFHE.eint<2>, %arg1: !HLFHE.eint<3>) -> !HLFHE.eint<2> {
+  %1 = "HLFHE.add_eint"(%arg0, %arg1): (!HLFHE.eint<2>, !HLFHE.eint<3>) -> (!HLFHE.eint<2>)
+  return %1: !HLFHE.eint<2>
+}
\ No newline at end of file
diff --git a/compiler/tests/Dialect/HLFHE/op_add_eint_err_result.mlir b/compiler/tests/Dialect/HLFHE/op_add_eint_err_result.mlir
new file mode 100644
index 000000000..3c9e7b0cb
--- /dev/null
+++ b/compiler/tests/Dialect/HLFHE/op_add_eint_err_result.mlir
@@ -0,0 +1,7 @@
+// RUN: not zamacompiler %s 2>&1| FileCheck %s
+
+// CHECK-LABEL: error: 'HLFHE.add_eint' op  should have the width of encrypted inputs and result equals
+func @add_eint(%arg0: !HLFHE.eint<2>, %arg1: !HLFHE.eint<2>) -> !HLFHE.eint<3> {
+  %1 = "HLFHE.add_eint"(%arg0, %arg1): (!HLFHE.eint<2>, !HLFHE.eint<2>) -> (!HLFHE.eint<3>)
+  return %1: !HLFHE.eint<3>
+}
\ No newline at end of file
diff --git a/compiler/tests/Dialect/HLFHE/op_add_eint_int_err_inputs.mlir b/compiler/tests/Dialect/HLFHE/op_add_eint_int_err_inputs.mlir
new file mode 100644
index 000000000..680c79b57
--- /dev/null
+++ b/compiler/tests/Dialect/HLFHE/op_add_eint_int_err_inputs.mlir
@@ -0,0 +1,8 @@
+// RUN: not zamacompiler %s 2>&1| FileCheck %s
+
+// CHECK-LABEL: error: 'HLFHE.add_eint_int' op  should have the width of plain input equals to width of encrypted input + 1
+func @add_eint_int(%arg0: !HLFHE.eint<2>) -> !HLFHE.eint<2> {
+  %0 = constant 1 : i4
+  %1 = "HLFHE.add_eint_int"(%arg0, %0): (!HLFHE.eint<2>, i4) -> (!HLFHE.eint<2>)
+  return %1: !HLFHE.eint<2>
+}
\ No newline at end of file
diff --git a/compiler/tests/Dialect/HLFHE/op_add_eint_int_err_result.mlir b/compiler/tests/Dialect/HLFHE/op_add_eint_int_err_result.mlir
new file mode 100644
index 000000000..299d2771a
--- /dev/null
+++ b/compiler/tests/Dialect/HLFHE/op_add_eint_int_err_result.mlir
@@ -0,0 +1,8 @@
+// RUN: not zamacompiler %s 2>&1| FileCheck %s
+
+// CHECK-LABEL: error: 'HLFHE.add_eint_int' op  should have the width of encrypted inputs and result equals
+func @add_eint_int(%arg0: !HLFHE.eint<2>) -> !HLFHE.eint<3> {
+  %0 = constant 1 : i2
+  %1 = "HLFHE.add_eint_int"(%arg0, %0): (!HLFHE.eint<2>, i2) -> (!HLFHE.eint<3>)
+  return %1: !HLFHE.eint<3>
+}
\ No newline at end of file
diff --git a/compiler/tests/Dialect/HLFHE/op_mul_eint_int_err_inputs.mlir b/compiler/tests/Dialect/HLFHE/op_mul_eint_int_err_inputs.mlir
new file mode 100644
index 000000000..6ea308618
--- /dev/null
+++ b/compiler/tests/Dialect/HLFHE/op_mul_eint_int_err_inputs.mlir
@@ -0,0 +1,8 @@
+// RUN: not zamacompiler %s 2>&1| FileCheck %s
+
+// CHECK-LABEL: error: 'HLFHE.mul_eint_int' op  should have the width of plain input equals to width of encrypted input + 1
+func @mul_eint_int(%arg0: !HLFHE.eint<2>) -> !HLFHE.eint<2> {
+  %0 = constant 1 : i4
+  %1 = "HLFHE.mul_eint_int"(%arg0, %0): (!HLFHE.eint<2>, i4) -> (!HLFHE.eint<2>)
+  return %1: !HLFHE.eint<2>
+}
\ No newline at end of file
diff --git a/compiler/tests/Dialect/HLFHE/op_mul_eint_int_err_result.mlir b/compiler/tests/Dialect/HLFHE/op_mul_eint_int_err_result.mlir
new file mode 100644
index 000000000..bc7ef7637
--- /dev/null
+++ b/compiler/tests/Dialect/HLFHE/op_mul_eint_int_err_result.mlir
@@ -0,0 +1,8 @@
+// RUN: not zamacompiler %s 2>&1| FileCheck %s
+
+// CHECK-LABEL: error: 'HLFHE.mul_eint_int' op  should have the width of encrypted inputs and result equals
+func @mul_eint_int(%arg0: !HLFHE.eint<2>) -> !HLFHE.eint<3> {
+  %0 = constant 1 : i2
+  %1 = "HLFHE.mul_eint_int"(%arg0, %0): (!HLFHE.eint<2>, i2) -> (!HLFHE.eint<3>)
+  return %1: !HLFHE.eint<3>
+}
\ No newline at end of file
diff --git a/compiler/tests/Dialect/HLFHE/ops.mlir b/compiler/tests/Dialect/HLFHE/ops.mlir
index 990d96950..41508ee58 100644
--- a/compiler/tests/Dialect/HLFHE/ops.mlir
+++ b/compiler/tests/Dialect/HLFHE/ops.mlir
@@ -2,23 +2,23 @@
 
 // CHECK-LABEL: func @add_eint_int(%arg0: !HLFHE.eint<2>) -> !HLFHE.eint<2>
 func @add_eint_int(%arg0: !HLFHE.eint<2>) -> !HLFHE.eint<2> {
-  // CHECK-NEXT: %[[V1:.*]] = constant 1 : i32
-  // CHECK-NEXT: %[[V2:.*]] = "HLFHE.add_eint_int"(%arg0, %[[V1]]) : (!HLFHE.eint<2>, i32) -> !HLFHE.eint<2>
+  // CHECK-NEXT: %[[V1:.*]] = constant 1 : i3
+  // CHECK-NEXT: %[[V2:.*]] = "HLFHE.add_eint_int"(%arg0, %[[V1]]) : (!HLFHE.eint<2>, i3) -> !HLFHE.eint<2>
   // CHECK-NEXT: return %[[V2]] : !HLFHE.eint<2>
 
-  %0 = constant 1 : i32
-  %1 = "HLFHE.add_eint_int"(%arg0, %0): (!HLFHE.eint<2>, i32) -> (!HLFHE.eint<2>)
+  %0 = constant 1 : i3
+  %1 = "HLFHE.add_eint_int"(%arg0, %0): (!HLFHE.eint<2>, i3) -> (!HLFHE.eint<2>)
   return %1: !HLFHE.eint<2>
 }
 
 // CHECK-LABEL: func @mul_eint_int(%arg0: !HLFHE.eint<2>) -> !HLFHE.eint<2>
 func @mul_eint_int(%arg0: !HLFHE.eint<2>) -> !HLFHE.eint<2> {
-  // CHECK-NEXT: %[[V1:.*]] = constant 1 : i32
-  // CHECK-NEXT: %[[V2:.*]] = "HLFHE.mul_eint_int"(%arg0, %[[V1]]) : (!HLFHE.eint<2>, i32) -> !HLFHE.eint<2>
+  // CHECK-NEXT: %[[V1:.*]] = constant 1 : i3
+  // CHECK-NEXT: %[[V2:.*]] = "HLFHE.mul_eint_int"(%arg0, %[[V1]]) : (!HLFHE.eint<2>, i3) -> !HLFHE.eint<2>
   // CHECK-NEXT: return %[[V2]] : !HLFHE.eint<2>
 
-  %0 = constant 1 : i32
-  %1 = "HLFHE.mul_eint_int"(%arg0, %0): (!HLFHE.eint<2>, i32) -> (!HLFHE.eint<2>)
+  %0 = constant 1 : i3
+  %1 = "HLFHE.mul_eint_int"(%arg0, %0): (!HLFHE.eint<2>, i3) -> (!HLFHE.eint<2>)
   return %1: !HLFHE.eint<2>
 }