diff --git a/rsconcept/frontend/src/context/LibraryContext.tsx b/rsconcept/frontend/src/context/LibraryContext.tsx
index 96dc7c49..9a7e92bd 100644
--- a/rsconcept/frontend/src/context/LibraryContext.tsx
+++ b/rsconcept/frontend/src/context/LibraryContext.tsx
@@ -14,8 +14,8 @@ interface ILibraryContext {
 
   filter: (params: ILibraryFilter) => IRSFormMeta[]
   createSchema: (data: IRSFormCreateData, callback?: DataCallback<IRSFormMeta>) => void
-  cloneSchema: (target: string, data: IRSFormCreateData, callback: DataCallback<IRSFormData>) => void
-  destroySchema: (target: string, callback?: () => void) => void
+  cloneSchema: (target: number, data: IRSFormCreateData, callback: DataCallback<IRSFormData>) => void
+  destroySchema: (target: number, callback?: () => void) => void
 }
 
 const LibraryContext = createContext<ILibraryContext | null>(null)
@@ -62,8 +62,8 @@ export const LibraryState = ({ children }: LibraryStateProps) => {
     getLibrary({
       setLoading: setLoading,
       showError: true,
-      onError: (error) => setError(error),
-      onSuccess: newData => { 
+      onError: error => setError(error),
+      onSuccess: newData => {
         setItems(newData);
         if (callback) callback();
       }
@@ -90,9 +90,9 @@ export const LibraryState = ({ children }: LibraryStateProps) => {
   }, [reload]);
 
   const destroySchema = useCallback(
-  (target: string, callback?: () => void) => {
+  (target: number, callback?: () => void) => {
     setError(undefined)
-    deleteRSForm(target, {
+    deleteRSForm(String(target), {
       showError: true,
       setLoading: setProcessing,
       onError: error => setError(error),
@@ -103,12 +103,12 @@ export const LibraryState = ({ children }: LibraryStateProps) => {
   }, [setError, reload]);
 
   const cloneSchema = useCallback(
-  (target: string, data: IRSFormCreateData, callback: DataCallback<IRSFormData>) => {
+  (target: number, data: IRSFormCreateData, callback: DataCallback<IRSFormData>) => {
     if (!user) {
       return;
     }
     setError(undefined)
-    postCloneRSForm(target, {
+    postCloneRSForm(String(target), {
       data: data,
       showError: true,
       setLoading: setProcessing,
diff --git a/rsconcept/frontend/src/context/RSFormContext.tsx b/rsconcept/frontend/src/context/RSFormContext.tsx
index 07d934b9..109fb8d8 100644
--- a/rsconcept/frontend/src/context/RSFormContext.tsx
+++ b/rsconcept/frontend/src/context/RSFormContext.tsx
@@ -205,7 +205,7 @@ export const RSFormState = ({ schemaID, children }: RSFormStateProps) => {
   const cstUpdate = useCallback(
   (data: ICstUpdateData, callback?: DataCallback<IConstituentaMeta>) => {
     setError(undefined)
-    patchConstituenta(data.id, {
+    patchConstituenta(String(data.id), {
       data: data,
       showError: true,
       setLoading: setProcessing,
diff --git a/rsconcept/frontend/src/hooks/useCheckExpression.ts b/rsconcept/frontend/src/hooks/useCheckExpression.ts
index 66cbb3b1..9fdb713e 100644
--- a/rsconcept/frontend/src/hooks/useCheckExpression.ts
+++ b/rsconcept/frontend/src/hooks/useCheckExpression.ts
@@ -2,7 +2,29 @@ import { useCallback, useState } from 'react'
 
 import { type ErrorInfo } from '../components/BackendError';
 import { DataCallback, postCheckExpression } from '../utils/backendAPI';
-import { IExpressionParse, type IRSForm } from '../utils/models';
+import { RSErrorType } from '../utils/enums';
+import { CstType, IConstituenta, IExpressionParse, IFunctionArg, type IRSForm } from '../utils/models';
+import { getCstExpressionPrefix } from '../utils/staticUI';
+
+function checkTypeConsistency(type: CstType, typification: string, args: IFunctionArg[]): boolean {
+  switch (type) {
+  case CstType.BASE:
+  case CstType.CONSTANT:
+  case CstType.STRUCTURED:
+  case CstType.TERM:
+    return typification !== '' && args.length === 0;
+
+  case CstType.AXIOM:
+  case CstType.THEOREM:
+    return typification === '' && args.length === 0;
+
+  case CstType.FUNCTION:
+    return typification !== '' && args.length !== 0;
+
+  case CstType.PREDICATE:
+    return typification === '' && args.length !== 0;
+  }
+}
 
 function useCheckExpression({ schema }: { schema?: IRSForm }) {
   const [loading, setLoading] = useState(false);
@@ -11,16 +33,38 @@ function useCheckExpression({ schema }: { schema?: IRSForm }) {
 
   const resetParse = useCallback(() => { setParseData(undefined); }, []);
 
-  function checkExpression(expression: string, onSuccess?: DataCallback<IExpressionParse>) {
+  function checkExpression(expression: string, activeCst?: IConstituenta, onSuccess?: DataCallback<IExpressionParse>) {
     setError(undefined);
-    postCheckExpression(schema!.id, {
+    postCheckExpression(String(schema!.id), {
       data: { expression: expression },
       showError: true,
       setLoading,
       onError: error => { setError(error); },
-      onSuccess: newData => {
-        setParseData(newData);
-        if (onSuccess) onSuccess(newData);
+      onSuccess: parse => {
+        if (activeCst && parse.parseResult) {
+          if (activeCst.cstType == CstType.BASE || activeCst.cstType == CstType.CONSTANT) {
+            if (expression !== getCstExpressionPrefix(activeCst)) {
+              parse.parseResult = false;
+              parse.errors.push({
+                errorType: RSErrorType.globalNonemptyBase,
+                isCritical: true,
+                params: [],
+                position: 0
+              });
+            }
+          }
+          if (!checkTypeConsistency(activeCst.cstType, parse.typification, parse.args)) {
+            parse.parseResult = false;
+            parse.errors.push({
+              errorType: RSErrorType.globalUnexpectedType,
+              isCritical: true,
+              params: [],
+              position: 0
+            });
+          }
+        }
+        setParseData(parse);
+        if (onSuccess) onSuccess(parse);
       }
     });
   }
diff --git a/rsconcept/frontend/src/pages/RSFormPage/DlgDeleteCst.tsx b/rsconcept/frontend/src/pages/RSFormPage/DlgDeleteCst.tsx
index b9da09df..e04144f1 100644
--- a/rsconcept/frontend/src/pages/RSFormPage/DlgDeleteCst.tsx
+++ b/rsconcept/frontend/src/pages/RSFormPage/DlgDeleteCst.tsx
@@ -7,15 +7,15 @@ import { getCstLabel } from '../../utils/staticUI';
 
 interface DlgDeleteCstProps {
   hideWindow: () => void
-  selected: string[]
-  onDelete: (items: string[]) => void
+  selected: number[]
+  onDelete: (items: number[]) => void
 }
 
 function DlgDeleteCst({ hideWindow, selected, onDelete }: DlgDeleteCstProps) {
   const { schema } = useRSForm();
 
   const [ expandOut, setExpandOut ] = useState(false);
-  const expansion: string[] = useMemo(() => schema?.graph.expandOutputs(selected) ?? [], [selected, schema?.graph]);
+  const expansion: number[] = useMemo(() => schema?.graph.expandOutputs(selected) ?? [], [selected, schema?.graph]);
 
   function handleSubmit() {
     hideWindow();
diff --git a/rsconcept/frontend/src/pages/RSFormPage/EditorConstituenta.tsx b/rsconcept/frontend/src/pages/RSFormPage/EditorConstituenta.tsx
index d49d7899..5f4468b7 100644
--- a/rsconcept/frontend/src/pages/RSFormPage/EditorConstituenta.tsx
+++ b/rsconcept/frontend/src/pages/RSFormPage/EditorConstituenta.tsx
@@ -18,11 +18,11 @@ import ViewSideConstituents from './elements/ViewSideConstituents';
 const UNFOLDED_HEIGHT = '59.1rem';
 
 interface EditorConstituentaProps {
-  activeID?: string
-  onOpenEdit: (cstID: string) => void
+  activeID?: number
+  onOpenEdit: (cstID: number) => void
   onShowAST: (expression: string, ast: SyntaxTree) => void
   onCreateCst: (initial: ICstCreateData, skipDialog?: boolean) => void
-  onDeleteCst: (selected: string[], callback?: (items: string[]) => void) => void
+  onDeleteCst: (selected: number[], callback?: (items: number[]) => void) => void
 }
 
 function EditorConstituenta({ activeID, onShowAST, onCreateCst, onOpenEdit, onDeleteCst }: EditorConstituentaProps) {
diff --git a/rsconcept/frontend/src/pages/RSFormPage/EditorItems.tsx b/rsconcept/frontend/src/pages/RSFormPage/EditorItems.tsx
index afa4d4ed..3cd7a411 100644
--- a/rsconcept/frontend/src/pages/RSFormPage/EditorItems.tsx
+++ b/rsconcept/frontend/src/pages/RSFormPage/EditorItems.tsx
@@ -14,15 +14,15 @@ import { CstType, IConstituenta, ICstCreateData, ICstMovetoData } from '../../ut
 import { getCstTypePrefix, getCstTypeShortcut, getCstTypificationLabel, mapStatusInfo } from '../../utils/staticUI';
 
 interface EditorItemsProps {
-  onOpenEdit: (cstID: string) => void
+  onOpenEdit: (cstID: number) => void
   onCreateCst: (initial: ICstCreateData, skipDialog?: boolean) => void
-  onDeleteCst: (selected: string[], callback: (items: string[]) => void) => void
+  onDeleteCst: (selected: number[], callback: (items: number[]) => void) => void
 }
 
 function EditorItems({ onOpenEdit, onCreateCst, onDeleteCst }: EditorItemsProps) {
   const { schema, isEditable, cstMoveTo, resetAliases } = useRSForm();
   const { noNavigation } = useConceptTheme();
-  const [selected, setSelected] = useState<string[]>([]);
+  const [selected, setSelected] = useState<number[]>([]);
   const nothingSelected = useMemo(() => selected.length === 0, [selected]);
 
   const [toggledClearRows, setToggledClearRows] = useState(false);
diff --git a/rsconcept/frontend/src/pages/RSFormPage/EditorRSExpression.tsx b/rsconcept/frontend/src/pages/RSFormPage/EditorRSExpression.tsx
index 0f2790c4..5ef5cd2c 100644
--- a/rsconcept/frontend/src/pages/RSFormPage/EditorRSExpression.tsx
+++ b/rsconcept/frontend/src/pages/RSFormPage/EditorRSExpression.tsx
@@ -60,7 +60,7 @@ function EditorRSExpression({
     }
     const prefix = getCstExpressionPrefix(activeCst);
     const expression = prefix + value;
-    checkExpression(expression, parse => {
+    checkExpression(expression, activeCst, parse => {
       if (parse.errors.length > 0) {
         onShowError(parse.errors[0]);
       } else {
@@ -81,7 +81,8 @@ function EditorRSExpression({
       return;
     }
     const prefix = getCstExpressionPrefix(activeCst);
-    const errorPosition = error.position - prefix.length;
+    let errorPosition = error.position - prefix.length;
+    if (errorPosition < 0) errorPosition = 0;
     rsInput.current?.view?.dispatch({
       selection: {
         anchor: errorPosition,
diff --git a/rsconcept/frontend/src/pages/RSFormPage/EditorTermGraph.tsx b/rsconcept/frontend/src/pages/RSFormPage/EditorTermGraph.tsx
index 2ecb5690..0d6caeea 100644
--- a/rsconcept/frontend/src/pages/RSFormPage/EditorTermGraph.tsx
+++ b/rsconcept/frontend/src/pages/RSFormPage/EditorTermGraph.tsx
@@ -56,9 +56,9 @@ export interface GraphEditorParams {
 }
 
 interface EditorTermGraphProps {
-  onOpenEdit: (cstID: string) => void
+  onOpenEdit: (cstID: number) => void
   onCreateCst: (initial: ICstCreateData, skipDialog?: boolean) => void
-  onDeleteCst: (selected: string[], callback: (items: string[]) => void) => void
+  onDeleteCst: (selected: number[], callback: (items: number[]) => void) => void
 }
 
 function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGraphProps) {
@@ -83,16 +83,16 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
   const [ allowTheorem, setAllowTheorem ] = useLocalStorage('graph_allow_theorem', true);
   
   const [ filtered, setFiltered ] = useState<Graph>(new Graph());
-  const [ dismissed, setDismissed ] = useState<string[]>([]);
-  const [ selectedDismissed, setSelectedDismissed ] = useState<string[]>([]);
+  const [ dismissed, setDismissed ] = useState<number[]>([]);
+  const [ selectedDismissed, setSelectedDismissed ] = useState<number[]>([]);
   const graphRef = useRef<GraphCanvasRef | null>(null);
   const [showOptions, setShowOptions] = useState(false);
   const [toggleUpdate, setToggleUpdate] = useState(false);
   
-  const [hoverID, setHoverID] = useState<string | undefined>(undefined);
+  const [hoverID, setHoverID] = useState<number | undefined>(undefined);
   const hoverCst = useMemo(
   () => {
-    return schema?.items.find(cst => String(cst.id) === hoverID);
+    return schema?.items.find(cst => cst.id === hoverID);
   }, [schema?.items, hoverID]);
 
   const is3D = useMemo(() => layout.includes('3d'), [layout]);
@@ -137,7 +137,7 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
         }
       });
     }
-    const newDismissed: string[] = [];
+    const newDismissed: number[] = [];
     schema.items.forEach(cst => {
       if (!graph.nodes.has(cst.id)) {
         newDismissed.push(cst.id);
@@ -149,7 +149,7 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
     setHoverID(undefined);
   }, [schema, noHermits, noTransitive, noTemplates, allowedTypes, toggleUpdate]);
 
-  function toggleDismissed(cstID: string) {
+  function toggleDismissed(cstID: number) {
     setSelectedDismissed(prev => {
       const index = prev.findIndex(id => cstID === id);
       if (index !== -1) {
@@ -171,7 +171,7 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
       const cst = schema.items.find(cst => cst.id === node.id);
       if (cst) {
         result.push({
-          id: node.id,
+          id: String(node.id),
           fill: getCstNodeColor(cst, coloringScheme, darkMode),
           label: cst.term.resolved && !noTerms ? `${cst.alias}: ${cst.term.resolved}` : cst.alias
         });
@@ -189,8 +189,8 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
       source.outputs.forEach(target => {
         result.push({
           id: String(edgeID),
-          source: source.id,
-          target: target
+          source: String(source.id),
+          target: String(target)
         });
         edgeID += 1;
       });
@@ -216,9 +216,9 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
     focusOnSelect: false
   });
 
-  const allSelected: string[] = useMemo(
+  const allSelected: number[] = useMemo(
   () => {
-    return [ ... selectedDismissed, ... selections];
+    return [ ... selectedDismissed, ... selections.map(id => Number(id))];
   }, [selectedDismissed, selections]);
   const nothingSelected = useMemo(() => allSelected.length === 0, [allSelected]);
 
@@ -230,7 +230,7 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
 
   const handleHoverIn = useCallback(
   (node: GraphNode) => {
-    setHoverID(node.id);
+    setHoverID(Number(node.id));
     if (onNodePointerOver) onNodePointerOver(node);
   }, [onNodePointerOver]);
 
@@ -243,7 +243,7 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
   const handleNodeClick = useCallback(
   (node: GraphNode) => {
     if (selections.includes(node.id)) {
-      onOpenEdit(node.id);
+      onOpenEdit(Number(node.id));
       return;
     }
     if (onNodeClick) onNodeClick(node);
@@ -346,7 +346,7 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
   }, [noNavigation]);
 
   const dismissedStyle = useCallback(
-  (cstID: string) => {
+  (cstID: number) => {
     return selectedDismissed.includes(cstID) ? {outlineWidth: '2px', outlineStyle: 'solid'}: {};
   }, [selectedDismissed]);
 
@@ -358,7 +358,7 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
       initial={getOptions()}
       onConfirm={handleChangeOptions}
     />}
-    <div className='flex flex-col border-t border-r max-w-[12.44rem] pr-2 pb-2 text-sm select-none' style={{height: canvasHeight}}>
+    <div className='flex flex-col border-t border-r max-w-[12.5rem] pr-2 pb-2 text-sm select-none' style={{height: canvasHeight}}>
       {hoverCst && 
       <div className='relative'>
         <InfoConstituenta 
@@ -408,10 +408,10 @@ function EditorTermGraph({ onOpenEdit, onCreateCst, onDeleteCst }: EditorTermGra
         
       </div>
       <ConceptSelect
-        className='mt-1 w-fit'
+        className='w-full mt-1'
         options={GraphLayoutSelector}
         searchable={false}
-        placeholder='Выберите тип'
+        placeholder='Способ расположения'
         values={layout ? [{ value: layout, label: mapLayoutLabels.get(layout) }] : []}
         onChange={data => { setLayout(data.length > 0 ? data[0].value : GraphLayoutSelector[0].value); }}
       />
diff --git a/rsconcept/frontend/src/pages/RSFormPage/RSTabs.tsx b/rsconcept/frontend/src/pages/RSFormPage/RSTabs.tsx
index 11f48670..8dbe0057 100644
--- a/rsconcept/frontend/src/pages/RSFormPage/RSTabs.tsx
+++ b/rsconcept/frontend/src/pages/RSFormPage/RSTabs.tsx
@@ -40,7 +40,7 @@ function RSTabs() {
   const { destroySchema } = useLibrary();
 
   const [activeTab, setActiveTab] = useState(RSTabsList.CARD);
-  const [activeID, setActiveID] = useState<string | undefined>(undefined);
+  const [activeID, setActiveID] = useState<number | undefined>(undefined);
   
   const [showUpload, setShowUpload] = useState(false);
   const [showClone, setShowClone] = useState(false);
@@ -49,8 +49,8 @@ function RSTabs() {
   const [expression, setExpression] = useState('');
   const [showAST, setShowAST] = useState(false);
   
-  const [afterDelete, setAfterDelete] = useState<((items: string[]) => void) | undefined>(undefined);
-  const [toBeDeleted, setToBeDeleted] = useState<string[]>([]);
+  const [afterDelete, setAfterDelete] = useState<((items: number[]) => void) | undefined>(undefined);
+  const [toBeDeleted, setToBeDeleted] = useState<number[]>([]);
   const [showDeleteCst, setShowDeleteCst] = useState(false);
   
   const [createInitialData, setCreateInitialData] = useState<ICstCreateData>();
@@ -70,7 +70,7 @@ function RSTabs() {
     const activeTab = Number(new URLSearchParams(search).get('tab')) ?? RSTabsList.CARD;
     const cstQuery = new URLSearchParams(search).get('active');
     setActiveTab(activeTab);
-    setActiveID(cstQuery ?? ((schema && schema?.items.length > 0) ? schema.items[0].id : undefined))
+    setActiveID(Number(cstQuery) ?? ((schema && schema?.items.length > 0) ? schema.items[0].id : undefined))
   }, [search, setActiveTab, setActiveID, schema]);
 
   function onSelectTab(index: number) {
@@ -78,7 +78,7 @@ function RSTabs() {
   }
 
   const navigateTo = useCallback(
-  (tab: RSTabsList, activeID?: string) => {
+  (tab: RSTabsList, activeID?: number) => {
     if (activeID) {
       navigate(`/rsforms/${schema!.id}?tab=${tab}&active=${activeID}`, {
         replace: tab === activeTab && tab !== RSTabsList.CST_EDIT
@@ -123,7 +123,7 @@ function RSTabs() {
   }, [handleCreateCst]);
 
   const handleDeleteCst = useCallback(
-  (deleted: string[]) => {
+  (deleted: number[]) => {
     if (!schema) {
       return;
     }
@@ -148,9 +148,9 @@ function RSTabs() {
   }, [afterDelete, cstDelete, schema, activeID, activeTab, navigateTo]);
 
   const promptDeleteCst = useCallback(
-  (selected: string[], callback?: (items: string[]) => void) => {
+  (selected: number[], callback?: (items: number[]) => void) => {
     setAfterDelete(() => (
-    (items: string[]) => {
+    (items: number[]) => {
       if (callback) callback(items);
     }));
     setToBeDeleted(selected);
@@ -165,7 +165,7 @@ function RSTabs() {
   }, []);
 
   const onOpenCst = useCallback(
-  (cstID: string) => {
+  (cstID: number) => {
     navigateTo(RSTabsList.CST_EDIT, cstID)
   }, [navigateTo]);
 
diff --git a/rsconcept/frontend/src/pages/RSFormPage/elements/ViewSideConstituents.tsx b/rsconcept/frontend/src/pages/RSFormPage/elements/ViewSideConstituents.tsx
index 2951b95e..bba4aad3 100644
--- a/rsconcept/frontend/src/pages/RSFormPage/elements/ViewSideConstituents.tsx
+++ b/rsconcept/frontend/src/pages/RSFormPage/elements/ViewSideConstituents.tsx
@@ -17,12 +17,12 @@ const LOCAL_NAVIGATION_H = '2.6rem';
 interface ViewSideConstituentsProps {
   expression: string
   baseHeight: string
-  activeID?: string
-  onOpenEdit: (cstID: string) => void
+  activeID?: number
+  onOpenEdit: (cstID: number) => void
 }
 
 function isMockCst(cst: IConstituenta) {
-  return cst.id[0] === '-'
+  return cst.id <= 0;
 }
 
 function ViewSideConstituents({ expression, baseHeight, activeID, onOpenEdit }: ViewSideConstituentsProps) {
@@ -49,7 +49,7 @@ function ViewSideConstituents({ expression, baseHeight, activeID, onOpenEdit }:
       const diff = Array.from(aliases).filter(name => !names.includes(name));
       if (diff.length > 0) {
         diff.forEach(
-          (alias, index) => filtered.push(getMockConstituenta(`-${index}`, alias, CstType.BASE, 'Конституента отсутствует')));
+          (alias, index) => filtered.push(getMockConstituenta(-index, alias, CstType.BASE, 'Конституента отсутствует')));
       }
     } else if (!activeID) {
       filtered = schema.items
diff --git a/rsconcept/frontend/src/utils/Graph.test.ts b/rsconcept/frontend/src/utils/Graph.test.ts
index 303a6c36..40371d6c 100644
--- a/rsconcept/frontend/src/utils/Graph.test.ts
+++ b/rsconcept/frontend/src/utils/Graph.test.ts
@@ -8,94 +8,94 @@ describe('Testing Graph constuction', () => {
 
   test('adding edges should create nodes', () => {
     const graph = new Graph();
-    graph.addEdge('13', '37');
-    expect([... graph.nodes.keys()]).toStrictEqual(['13', '37']);
+    graph.addEdge(13, 37);
+    expect([... graph.nodes.keys()]).toStrictEqual([13, 37]);
 
-    graph.addEdge('13', '38');
-    expect([... graph.nodes.keys()]).toStrictEqual(['13', '37', '38']);
+    graph.addEdge(13, 38);
+    expect([... graph.nodes.keys()]).toStrictEqual([13, 37, 38]);
   });
 
   test('creating from array', () => {
-    const graph = new Graph([['1', '2'], ['3'], ['4', '1']]);
-    expect([... graph.nodes.keys()]).toStrictEqual(['1', '2', '3', '4']);
-    expect([... graph.nodes.get('1')!.outputs]).toStrictEqual(['2']);
+    const graph = new Graph([[1, 2], [3], [4, 1]]);
+    expect([... graph.nodes.keys()]).toStrictEqual([1, 2, 3, 4]);
+    expect([... graph.nodes.get(1)!.outputs]).toStrictEqual([2]);
   });
 
   test('cloning', () => {
-    const graph = new Graph([['1', '2'], ['3'], ['4', '1']]);
+    const graph = new Graph([[1, 2], [3], [4, 1]]);
     const clone = graph.clone();
     expect([... graph.nodes.keys()]).toStrictEqual([... clone.nodes.keys()]);
     expect([... graph.nodes.values()]).toStrictEqual([... clone.nodes.values()]);
 
-    clone.removeNode('3');
-    expect(clone.nodes.get('3')).toBeUndefined();
-    expect(graph.nodes.get('3')).not.toBeUndefined();
+    clone.removeNode(3);
+    expect(clone.nodes.get(3)).toBeUndefined();
+    expect(graph.nodes.get(3)).not.toBeUndefined();
   });
 });
 
 describe('Testing Graph editing', () => {
   test('removing edges should not remove nodes', () => {
-    const graph = new Graph([['1', '2'], ['3'], ['4', '1']]);
-    expect(graph.hasEdge('4', '1')).toBeTruthy();
+    const graph = new Graph([[1, 2], [3], [4, 1]]);
+    expect(graph.hasEdge(4, 1)).toBeTruthy();
 
-    graph.removeEdge('5', '0');
-    graph.removeEdge('4', '1');
+    graph.removeEdge(5, 0);
+    graph.removeEdge(4, 1);
     
-    expect([... graph.nodes.keys()]).toStrictEqual(['1', '2', '3', '4']);
-    expect(graph.hasEdge('4', '1')).toBeFalsy();
+    expect([... graph.nodes.keys()]).toStrictEqual([1, 2, 3, 4]);
+    expect(graph.hasEdge(4, 1)).toBeFalsy();
   });
 
   test('folding node redirectes edges', () => {
-    const graph = new Graph([['1', '3'], ['2', '3'], ['3', '4'], ['3', '5'], ['3', '3']]);
-    graph.foldNode('3');
-    expect(graph.hasNode('3')).toBeFalsy();
-    expect(graph.hasEdge('1', '4')).toBeTruthy();
-    expect(graph.hasEdge('1', '5')).toBeTruthy();
-    expect(graph.hasEdge('2', '4')).toBeTruthy();
-    expect(graph.hasEdge('2', '5')).toBeTruthy();
+    const graph = new Graph([[1, 3], [2, 3], [3, 4], [3, 5], [3, 3]]);
+    graph.foldNode(3);
+    expect(graph.hasNode(3)).toBeFalsy();
+    expect(graph.hasEdge(1, 4)).toBeTruthy();
+    expect(graph.hasEdge(1, 5)).toBeTruthy();
+    expect(graph.hasEdge(2, 4)).toBeTruthy();
+    expect(graph.hasEdge(2, 5)).toBeTruthy();
   });
 
   test('removing isolated nodes', () => {
-    const graph = new Graph([['9', '1'], ['9', '2'], ['2', '1'], ['4', '3'], ['5', '9'], ['7'], ['8']]);
+    const graph = new Graph([[9, 1], [9, 2], [2, 1], [4, 3], [5, 9], [7], [8]]);
     graph.removeIsolated()
-    expect([... graph.nodes.keys()]).toStrictEqual(['9', '1', '2', '4', '3', '5']);
+    expect([... graph.nodes.keys()]).toStrictEqual([9, 1, 2, 4, 3, 5]);
   });
 
   test('transitive reduction', () => {
-    const graph = new Graph([['1', '3'], ['1', '2'], ['2', '3']]);
+    const graph = new Graph([[1, 3], [1, 2], [2, 3]]);
     graph.transitiveReduction();
-    expect(graph.hasEdge('1', '2')).toBeTruthy();
-    expect(graph.hasEdge('2', '3')).toBeTruthy();
-    expect(graph.hasEdge('1', '3')).toBeFalsy();
+    expect(graph.hasEdge(1, 2)).toBeTruthy();
+    expect(graph.hasEdge(2, 3)).toBeTruthy();
+    expect(graph.hasEdge(1, 3)).toBeFalsy();
   });
 });
 
 describe('Testing Graph sort', () => {
   test('topological order', () => {
-    const graph = new Graph([['9', '1'], ['9', '2'], ['2', '1'], ['4', '3'], ['5', '9']]);
-    expect(graph.tolopogicalOrder()).toStrictEqual(['5', '4', '3', '9', '2', '1']);
+    const graph = new Graph([[9, 1], [9, 2], [2, 1], [4, 3], [5, 9]]);
+    expect(graph.tolopogicalOrder()).toStrictEqual([5, 4, 3, 9, 2, 1]);
   });
 });
 
 describe('Testing Graph queries', () => {
   test('expand outputs', () => {
-    const graph = new Graph([['1', '2'], ['2', '3'], ['2', '5'], ['5', '6'], ['6', '1'], ['7']]);
+    const graph = new Graph([[1, 2], [2, 3], [2, 5], [5, 6], [6, 1], [7]]);
     expect(graph.expandOutputs([])).toStrictEqual([]);
-    expect(graph.expandOutputs(['3'])).toStrictEqual([]);
-    expect(graph.expandOutputs(['7'])).toStrictEqual([]);
-    expect(graph.expandOutputs(['2', '5'])).toStrictEqual(['3', '6', '1']);
+    expect(graph.expandOutputs([3])).toStrictEqual([]);
+    expect(graph.expandOutputs([7])).toStrictEqual([]);
+    expect(graph.expandOutputs([2, 5])).toStrictEqual([3, 6, 1]);
   });
 
   test('expand into unique array', () => {
-    const graph = new Graph([['1', '2'], ['1', '3'], ['2', '5'], ['3', '5']]);
-    expect(graph.expandOutputs(['1'])).toStrictEqual(['2', '3' , '5']);
+    const graph = new Graph([[1, 2], [1, 3], [2, 5], [3, 5]]);
+    expect(graph.expandOutputs([1])).toStrictEqual([2, 3 , 5]);
   });
 
   test('expand inputs', () => {
-    const graph = new Graph([['1', '2'], ['2', '3'], ['2', '5'], ['5', '6'], ['6', '1'], ['7']]);
+    const graph = new Graph([[1, 2], [2, 3], [2, 5], [5, 6], [6, 1], [7]]);
     expect(graph.expandInputs([])).toStrictEqual([]);
-    expect(graph.expandInputs(['7'])).toStrictEqual([]);
-    expect(graph.expandInputs(['6'])).toStrictEqual(['5', '2', '1']);
+    expect(graph.expandInputs([7])).toStrictEqual([]);
+    expect(graph.expandInputs([6])).toStrictEqual([5, 2, 1]);
   });
 
 });
\ No newline at end of file
diff --git a/rsconcept/frontend/src/utils/Graph.ts b/rsconcept/frontend/src/utils/Graph.ts
index 49c13e80..32f66d94 100644
--- a/rsconcept/frontend/src/utils/Graph.ts
+++ b/rsconcept/frontend/src/utils/Graph.ts
@@ -1,10 +1,10 @@
 // ======== ID based fast Graph implementation =============
 export class GraphNode {
-  id: string;
-  outputs: string[];
-  inputs: string[];
+  id: number;
+  outputs: number[];
+  inputs: number[];
 
-  constructor(id: string) {
+  constructor(id: number) {
     this.id = id;
     this.outputs = [];
     this.inputs = [];
@@ -17,29 +17,29 @@ export class GraphNode {
     return result;
   }
 
-  addOutput(node: string): void {
+  addOutput(node: number): void {
     this.outputs.push(node);
   }
 
-  addInput(node: string): void {
+  addInput(node: number): void {
     this.inputs.push(node);
   }
 
-  removeInput(target: string): string | null {
+  removeInput(target: number): number | null {
     const index = this.inputs.findIndex(node => node === target);
     return index > -1 ? this.inputs.splice(index, 1)[0] : null;
   }
 
-  removeOutput(target: string): string | null {
+  removeOutput(target: number): number | null {
     const index = this.outputs.findIndex(node => node === target);
     return index > -1 ? this.outputs.splice(index, 1)[0] : null;
   }
 }
 
 export class Graph {
-  nodes: Map<string, GraphNode> = new Map();
+  nodes: Map<number, GraphNode> = new Map();
 
-  constructor(arr?: string[][]) {
+  constructor(arr?: number[][]) {
     if (!arr) {
       return;
     }
@@ -58,7 +58,7 @@ export class Graph {
     return result;
   }
 
-  addNode(target: string): GraphNode {
+  addNode(target: number): GraphNode {
     let node = this.nodes.get(target);
     if (!node) {
       node = new GraphNode(target);
@@ -67,11 +67,11 @@ export class Graph {
     return node;
   }
 
-  hasNode(target: string): boolean {
+  hasNode(target: number): boolean {
     return !!this.nodes.get(target);
   }
 
-  removeNode(target: string): GraphNode | null {
+  removeNode(target: number): GraphNode | null {
     const nodeToRemove = this.nodes.get(target);
     if (!nodeToRemove) {
       return null;
@@ -84,7 +84,7 @@ export class Graph {
     return nodeToRemove;
   }
 
-  foldNode(target: string): GraphNode | null {
+  foldNode(target: number): GraphNode | null {
     const nodeToRemove = this.nodes.get(target);
     if (!nodeToRemove) {
       return null;
@@ -107,14 +107,14 @@ export class Graph {
     return result;
   }
 
-  addEdge(source: string, destination: string): void {
+  addEdge(source: number, destination: number): void {
     const sourceNode = this.addNode(source);
     const destinationNode = this.addNode(destination);
     sourceNode.addOutput(destinationNode.id);
     destinationNode.addInput(sourceNode.id);
   }
 
-  removeEdge(source: string, destination: string): void {
+  removeEdge(source: number, destination: number): void {
     const sourceNode = this.nodes.get(source);
     const destinationNode = this.nodes.get(destination);
     if (sourceNode && destinationNode) {
@@ -123,7 +123,7 @@ export class Graph {
     }
   }
 
-  hasEdge(source: string, destination: string): boolean {
+  hasEdge(source: number, destination: number): boolean {
     const sourceNode = this.nodes.get(source);
     if (!sourceNode) {
       return false;
@@ -131,9 +131,9 @@ export class Graph {
     return !!sourceNode.outputs.find(id => id === destination);
   }
 
-  expandOutputs(origin: string[]): string[] {
-    const result: string[] = [];
-    const marked = new Map<string, boolean>();
+  expandOutputs(origin: number[]): number[] {
+    const result: number[] = [];
+    const marked = new Map<number, boolean>();
     origin.forEach(id => marked.set(id, true));
     origin.forEach(id => {
       const node = this.nodes.get(id);
@@ -161,9 +161,9 @@ export class Graph {
     return result;
   }
   
-  expandInputs(origin: string[]): string[] {
-    const result: string[] = [];
-    const marked = new Map<string, boolean>();
+  expandInputs(origin: number[]): number[] {
+    const result: number[] = [];
+    const marked = new Map<number, boolean>();
     origin.forEach(id => marked.set(id, true));
     origin.forEach(id => {
       const node = this.nodes.get(id);
@@ -191,10 +191,10 @@ export class Graph {
     return result;
   }  
 
-  tolopogicalOrder(): string[] {
-    const result: string[] = [];
-    const marked = new Map<string, boolean>();
-    const toVisit: string[] = [];
+  tolopogicalOrder(): number[] {
+    const result: number[] = [];
+    const marked = new Map<number, boolean>();
+    const toVisit: number[] = [];
     this.nodes.forEach(node => {
       if (marked.get(node.id)) {
         return;
@@ -225,12 +225,12 @@ export class Graph {
 
   transitiveReduction() {
     const order = this.tolopogicalOrder();
-    const marked = new Map<string, boolean>();
+    const marked = new Map<number, boolean>();
     order.forEach(nodeID => {
       if (marked.get(nodeID)) {
         return;
       }
-      const stack: {id: string, parents: string[]}[] = [];
+      const stack: {id: number, parents: number[]}[] = [];
       stack.push({id: nodeID, parents: []});
       while (stack.length > 0) {
         const item = stack.splice(0, 1)[0];
diff --git a/rsconcept/frontend/src/utils/backendAPI.ts b/rsconcept/frontend/src/utils/backendAPI.ts
index 084f9eb8..c74807b1 100644
--- a/rsconcept/frontend/src/utils/backendAPI.ts
+++ b/rsconcept/frontend/src/utils/backendAPI.ts
@@ -196,7 +196,7 @@ export function postNewConstituenta(schema: string, request: FrontExchange<ICstC
 
 export function patchDeleteConstituenta(schema: string, request: FrontExchange<IConstituentaList, IRSFormData>) {
   AxiosPatch({
-    title: `Delete Constituents for RSForm id=${schema}: ${request.data.items.map(item => item.id).join(' ')}`,
+    title: `Delete Constituents for RSForm id=${schema}: ${request.data.items.map(item => String(item.id)).join(' ')}`,
     endpoint: `/api/rsforms/${schema}/cst-multidelete/`,
     request: request
   });
diff --git a/rsconcept/frontend/src/utils/enums.ts b/rsconcept/frontend/src/utils/enums.ts
index 24c37c84..003059f5 100644
--- a/rsconcept/frontend/src/utils/enums.ts
+++ b/rsconcept/frontend/src/utils/enums.ts
@@ -152,6 +152,11 @@ export enum RSErrorType {
 	typesNotCompatible = 0x8825, // Типы не совместимы в данном контексте
 	orderingNotSupported = 0x8826, // Для данного типа не поддерживается порядок элементов
 
+  // !!!! Добавлены по сравнению с ConceptCore !!!!!
+  globalNonemptyBase = 0x8827, // Непустое выражение базисного/константного множества
+  globalUnexpectedType = 0x8828, // Типизация выражения не соответствует типу конституенты
+  // !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+
 	globalNoValue = 0x8840, // Используется неинтерпретируемый глобальный идентификатор
 	invalidPropertyUsage = 0x8841, // Использование свойства в качестве значения
 	globalMissingAST = 0x8842, // Не удалось получить дерево разбора для глобального идентификатора
diff --git a/rsconcept/frontend/src/utils/models.ts b/rsconcept/frontend/src/utils/models.ts
index 703715d6..85c354de 100644
--- a/rsconcept/frontend/src/utils/models.ts
+++ b/rsconcept/frontend/src/utils/models.ts
@@ -109,7 +109,7 @@ export enum CstClass {
 }
 
 export interface IConstituenta {
-  id: string
+  id: number
   alias: string
   cstType: CstType
   convention: string
@@ -138,8 +138,8 @@ export interface IConstituenta {
 }
 
 export interface IConstituentaMeta {
-  id: string
-  schema: string
+  id: number
+  schema: number
   order: number
   alias: string
   convention: string
@@ -158,7 +158,7 @@ export interface IConstituentaList {
 
 export interface ICstCreateData 
 extends Pick<IConstituentaMeta, 'alias' | 'cst_type' | 'definition_raw' | 'term_raw' | 'convention' | 'definition_formal' > {
-  insert_after: string | null
+  insert_after: number | null
 }
 
 export interface ICstMovetoData extends IConstituentaList {
@@ -196,7 +196,7 @@ export interface IRSFormStats {
 }
 
 export interface IRSForm {
-  id: string
+  id: number
   title: string
   alias: string
   comment: string
@@ -368,9 +368,7 @@ export function LoadRSFormData(schema: IRSFormData): IRSForm {
     count_theorem: result.items.reduce(
       (sum, cst) => sum + (cst.cstType === CstType.THEOREM ? 1 : 0), 0)
   }
-  result.id = String(result.id)
   result.items.forEach(cst => {
-    cst.id = String(cst.id)
     cst.status = inferStatus(cst.parse.status, cst.parse.valueClass);
     cst.isTemplate = inferTemplate(cst.definition.formal);
     cst.cstClass = inferClass(cst.cstType, cst.isTemplate);
@@ -416,11 +414,11 @@ export function matchRSFormMeta(query: string, target: IRSFormMeta) {
   }
 }
 
-export function applyGraphFilter(schema: IRSForm, start: string, mode: DependencyMode): IConstituenta[] {
+export function applyGraphFilter(schema: IRSForm, start: number, mode: DependencyMode): IConstituenta[] {
   if (mode === DependencyMode.ALL) {
     return schema.items;
   }
-  let ids: string[] | undefined = undefined
+  let ids: number[] | undefined = undefined
   switch (mode) {
   case DependencyMode.OUTPUTS: { ids = schema.graph.nodes.get(start)?.outputs; break; }
   case DependencyMode.INPUTS: { ids = schema.graph.nodes.get(start)?.inputs; break; }
diff --git a/rsconcept/frontend/src/utils/staticUI.ts b/rsconcept/frontend/src/utils/staticUI.ts
index 62f042ed..7c62f495 100644
--- a/rsconcept/frontend/src/utils/staticUI.ts
+++ b/rsconcept/frontend/src/utils/staticUI.ts
@@ -407,7 +407,7 @@ export function createAliasFor(type: CstType, schema: IRSForm): string {
   return `${prefix}${index}`;
 }
 
-export function getMockConstituenta(id: string, alias: string, type: CstType, comment: string): IConstituenta {
+export function getMockConstituenta(id: number, alias: string, type: CstType, comment: string): IConstituenta {
   return {
     id: id,
     alias: alias,
@@ -568,6 +568,10 @@ export function getRSErrorMessage(error: IRSErrorDescription): string {
     return `Не удалось получить дерево разбора для глобального идентификатора: ${error.params[0]}`;
   case RSErrorType.globalFuncNoInterpretation: 
     return `Функция не интерпретируется для данных аргументов`;  
+  case RSErrorType.globalNonemptyBase: 
+    return `Непустое выражение базисного/константного множества`;
+  case RSErrorType.globalUnexpectedType: 
+    return `Типизация выражения не соответствует типу конституенты`;
   }
   return 'UNKNOWN ERROR';
 }