diff --git a/vcr/pe/presentation_definition.go b/vcr/pe/presentation_definition.go
index 4b1261641c..027f957fbf 100644
--- a/vcr/pe/presentation_definition.go
+++ b/vcr/pe/presentation_definition.go
@@ -86,7 +86,8 @@ func (presentationDefinition PresentationDefinition) matchConstraints(vcs []vc.V
 			if err != nil {
 				return nil, err
 			}
-			if isMatch && matchFormat(presentationDefinition.Format, credential) {
+			// InputDescriptor formats must be a subset of the PresentationDefinition formats, so it must satisfy both.
+			if isMatch && matchFormat(presentationDefinition.Format, credential) && matchFormat(inputDescriptor.Format, credential) {
 				match.VC = &credential
 				break
 			}
@@ -260,21 +261,6 @@ func matchProofType(proofType string, credential vc.VerifiableCredential) bool {
 	return false
 }
 
-func matchDescriptor(descriptor InputDescriptor, credential vc.VerifiableCredential) (*InputDescriptorMappingObject, error) {
-	match, err := matchCredential(descriptor, credential)
-	if err != nil {
-		return nil, err
-	}
-	if !match {
-		return nil, nil
-	}
-
-	return &InputDescriptorMappingObject{
-		Id:     descriptor.Id,
-		Format: credential.Format(),
-	}, nil
-}
-
 func matchCredential(descriptor InputDescriptor, credential vc.VerifiableCredential) (bool, error) {
 	// for each constraint in descriptor.constraints:
 	//   a vc must match the constraint
diff --git a/vcr/pe/presentation_definition_test.go b/vcr/pe/presentation_definition_test.go
index 32ecd602d5..03e10aa3fe 100644
--- a/vcr/pe/presentation_definition_test.go
+++ b/vcr/pe/presentation_definition_test.go
@@ -123,6 +123,36 @@ func TestMatch(t *testing.T) {
 			assert.Len(t, mappingObjects, 1)
 		})
 	})
+	t.Run("Input Descriptor Claim Format matching", func(t *testing.T) {
+		presentationDefinition := PresentationDefinition{}
+		_ = json.Unmarshal([]byte(testPresentationDefinition), &presentationDefinition)
+		// making sure this test doesn't break when testPresentationDefinition changes
+		fullFormat := presentationDefinition.Format
+		require.NotNil(t, fullFormat)
+		require.NotNil(t, (*fullFormat)["jwt_vc"])
+		require.NotNil(t, (*fullFormat)["ldp_vc"])
+		t.Run("Input Descriptor format only", func(t *testing.T) {
+			presentationDefinition.Format = nil
+			presentationDefinition.InputDescriptors[0].Format = fullFormat
+
+			vcs, mappingObjects, err := presentationDefinition.Match([]vc.VerifiableCredential{verifiableCredential})
+
+			require.NoError(t, err)
+			assert.Len(t, vcs, 1)
+			require.Len(t, mappingObjects, 1)
+			assert.Equal(t, "$.verifiableCredential[0]", mappingObjects[0].Path)
+		})
+		t.Run("Matches format of PD but not Input Descriptor", func(t *testing.T) {
+			presentationDefinition.Format = fullFormat
+			presentationDefinition.InputDescriptors[0].Format = &PresentationDefinitionClaimFormatDesignations{"jwt_vc": (*fullFormat)["jwt_vc"]}
+
+			vcs, mappingObjects, err := presentationDefinition.Match([]vc.VerifiableCredential{verifiableCredential})
+
+			require.NoError(t, err)
+			assert.Len(t, vcs, 0)
+			assert.Len(t, mappingObjects, 0)
+		})
+	})
 	t.Run("Submission requirement feature", func(t *testing.T) {
 		t.Run("Pick", func(t *testing.T) {
 			t.Run("Pick 1", func(t *testing.T) {
@@ -317,27 +347,6 @@ func Test_matchFormat(t *testing.T) {
 	})
 }
 
-func Test_matchDescriptor(t *testing.T) {
-	testCredential := vc.VerifiableCredential{}
-	_ = json.Unmarshal([]byte(testCredentialString), &testCredential)
-	t.Run("no match", func(t *testing.T) {
-		field := Field{Path: []string{"$.credentialSubject.foo"}}
-
-		idmo, err := matchDescriptor(InputDescriptor{Constraints: &Constraints{Fields: []Field{field}}}, testCredential)
-
-		require.NoError(t, err)
-		assert.Nil(t, idmo)
-	})
-	t.Run("match", func(t *testing.T) {
-		field := Field{Path: []string{"$.credentialSubject.field"}}
-
-		idmo, err := matchDescriptor(InputDescriptor{Constraints: &Constraints{Fields: []Field{field}}}, testCredential)
-
-		require.NoError(t, err)
-		require.NotNil(t, idmo)
-	})
-}
-
 func Test_matchCredential(t *testing.T) {
 	t.Run("no constraints is a match", func(t *testing.T) {
 		match, err := matchCredential(InputDescriptor{}, vc.VerifiableCredential{})