diff --git a/README.md b/README.md
index 8718a37..f55bf92 100644
--- a/README.md
+++ b/README.md
@@ -25,6 +25,7 @@ The system consists of the following modules, implemented symmetrically in `ddss
 - **Load** (`ddss/load.py`, `ddss/load.ts`): Batch import of facts from standard input
 - **Dump** (`ddss/dump.py`, `ddss/dump.ts`): Export all facts and ideas to output
 - **Search** (`ddss/search.py`, `ddss/search.ts`): Forward-chaining deductive search engine
+- **Chain** (`ddss/chain.py`, `ddss/chain.ts`): Alternative forward-chaining engine using Chain API
 - **Egg** (`ddss/egg.py`, `ddss/egg.ts`): E-graph based equality reasoning engine
 
 ## Installation
@@ -106,6 +107,7 @@ Available components:
 - `input`: Interactive input interface
 - `output`: Real-time display of facts and ideas
 - `search`: Forward-chaining deductive search engine
+- `chain`: Alternative forward-chaining engine using Chain API
 - `egg`: E-graph based equality reasoning engine
 - `load`: Batch import facts from standard input
 - `dump`: Export all facts and ideas to output
diff --git a/ddss/chain.py b/ddss/chain.py
new file mode 100644
index 0000000..dfaaae9
--- /dev/null
+++ b/ddss/chain.py
@@ -0,0 +1,34 @@
+import asyncio
+from sqlalchemy import select
+from sqlalchemy.ext.asyncio import async_sessionmaker, AsyncSession
+from apyds import Chain
+from .orm import insert_or_ignore, Facts, Ideas
+from .utility import str_rule_get_str_idea
+
+
+async def main(session: async_sessionmaker[AsyncSession]) -> None:
+    try:
+        chain = Chain()
+        max_fact = -1
+
+        while True:
+            async with session() as sess:
+                for i in await sess.scalars(select(Facts).where(Facts.id > max_fact)):
+                    max_fact = max(max_fact, i.id)
+                    chain.add(i.data)
+                tasks = []
+
+                def handler(rule):
+                    ds = str(rule)
+                    tasks.append(asyncio.create_task(insert_or_ignore(sess, Facts, ds)))
+                    if idea := str_rule_get_str_idea(ds):
+                        tasks.append(asyncio.create_task(insert_or_ignore(sess, Ideas, idea)))
+                    return False
+
+                chain.execute(handler)
+                await asyncio.gather(*tasks)
+                await sess.commit()
+
+            await asyncio.sleep(0)
+    except asyncio.CancelledError:
+        pass
diff --git a/ddss/chain.ts b/ddss/chain.ts
new file mode 100644
index 0000000..b0c4b51
--- /dev/null
+++ b/ddss/chain.ts
@@ -0,0 +1,38 @@
+import { Op, type Sequelize } from "sequelize";
+import { Chain } from "atsds";
+import type { Rule } from "atsds";
+import { Fact, Idea, insertOrIgnore } from "./orm.ts";
+import { strRuleGetStrIdea } from "./utility.ts";
+
+export async function main(sequelize: Sequelize): Promise<void> {
+    const chain = new Chain();
+    let maxFact = -1;
+
+    while (true) {
+        const newFacts = await Fact.findAll({
+            where: { id: { [Op.gt]: maxFact } },
+        });
+
+        for (const fact of newFacts) {
+            maxFact = Math.max(maxFact, fact.id);
+            chain.add(fact.data);
+        }
+
+        const tasks: Promise<void>[] = [];
+
+        const handler = (rule: Rule) => {
+            const ds = rule.toString();
+            tasks.push(insertOrIgnore(Fact, ds));
+            const idea = strRuleGetStrIdea(ds);
+            if (idea) {
+                tasks.push(insertOrIgnore(Idea, idea));
+            }
+            return false;
+        };
+
+        chain.execute(handler);
+        await Promise.all(tasks);
+
+        await new Promise((resolve) => setTimeout(resolve, 0));
+    }
+}
diff --git a/ddss/main.py b/ddss/main.py
index d399f2e..798c1f5 100644
--- a/ddss/main.py
+++ b/ddss/main.py
@@ -11,6 +11,7 @@
 from .output import main as output
 from .load import main as load
 from .dump import main as dump
+from .chain import main as chain
 
 component_map: dict[str, callable[[async_sessionmaker[AsyncSession]], Awaitable[None]]] = {
     "search": search,
@@ -19,6 +20,7 @@
     "output": output,
     "load": load,
     "dump": dump,
+    "chain": chain,
 }
 
 
diff --git a/ddss/main.ts b/ddss/main.ts
index ffb001a..ea2b209 100644
--- a/ddss/main.ts
+++ b/ddss/main.ts
@@ -9,6 +9,7 @@ import { main as egg } from "./egg.ts";
 import { main as input } from "./input.ts";
 import { main as load } from "./load.ts";
 import { main as output } from "./output.ts";
+import { main as chain } from "./chain.ts";
 import { initializeDatabase } from "./orm.ts";
 
 type ComponentMain = (sequelize: Sequelize) => Promise<void>;
@@ -20,6 +21,7 @@ const componentMap: Record<string, ComponentMain> = {
     output,
     load,
     dump,
+    chain,
 };
 
 async function run(addr: string, components: string[]): Promise<void> {
diff --git a/docs/en/modules.md b/docs/en/modules.md
index 584e25c..9476da1 100644
--- a/docs/en/modules.md
+++ b/docs/en/modules.md
@@ -7,4 +7,5 @@ The system consists of the following modules, implemented symmetrically in `ddss
 - **Load** (`ddss/load.py`, `ddss/load.ts`): Batch import of facts from standard input
 - **Dump** (`ddss/dump.py`, `ddss/dump.ts`): Export all facts and ideas to output
 - **Search** (`ddss/search.py`, `ddss/search.ts`): Forward-chaining deductive search engine
+- **Chain** (`ddss/chain.py`, `ddss/chain.ts`): Alternative forward-chaining engine using Chain API
 - **Egg** (`ddss/egg.py`, `ddss/egg.ts`): E-graph based equality reasoning engine
diff --git a/docs/en/usage.md b/docs/en/usage.md
index 555a784..c9b0176 100644
--- a/docs/en/usage.md
+++ b/docs/en/usage.md
@@ -47,6 +47,7 @@ Available components:
 - `input`: Interactive input interface
 - `output`: Real-time display of facts and ideas
 - `search`: Forward-chaining deductive search engine
+- `chain`: Alternative forward-chaining engine using Chain API
 - `egg`: E-graph based equality reasoning engine
 - `load`: Batch import facts from standard input
 - `dump`: Export all facts and ideas to output
diff --git a/docs/zh/modules.md b/docs/zh/modules.md
index 32cfcef..7f497ce 100644
--- a/docs/zh/modules.md
+++ b/docs/zh/modules.md
@@ -7,4 +7,5 @@
 - **Load** (`ddss/load.py`, `ddss/load.ts`)：从标准输入批量导入事实。
 - **Dump** (`ddss/dump.py`, `ddss/dump.ts`)：将所有事实和想法导出到输出。
 - **Search** (`ddss/search.py`, `ddss/search.ts`)：前向链接演绎搜索引擎。
+- **Chain** (`ddss/chain.py`, `ddss/chain.ts`)：使用 Chain API 的替代前向链接引擎。
 - **Egg** (`ddss/egg.py`, `ddss/egg.ts`)：基于 E-graph 的等式推理引擎。
diff --git a/docs/zh/usage.md b/docs/zh/usage.md
index 862f32a..2110324 100644
--- a/docs/zh/usage.md
+++ b/docs/zh/usage.md
@@ -47,6 +47,7 @@ ddss --component input output egg
 - `input`: 交互式输入接口
 - `output`: 实时显示事实和想法
 - `search`: 前向链接演绎搜索引擎
+- `chain`: 使用 Chain API 的替代前向链接引擎
 - `egg`: 基于 E-graph 的等式推理引擎
 - `load`: 批量导入事实
 - `dump`: 导出所有事实和想法
diff --git a/package-lock.json b/package-lock.json
index a805304..71b376b 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -7,9 +7,9 @@
             "name": "@hzhangxyz/ddss",
             "license": "AGPL-3.0-or-later",
             "dependencies": {
-                "atsds": "^0.0.17",
-                "atsds-bnf": "^0.0.17",
-                "atsds-egg": "^0.0.17",
+                "atsds": "^0.0.18",
+                "atsds-bnf": "^0.0.18",
+                "atsds-egg": "^0.0.18",
                 "commander": "^14.0.3",
                 "mariadb": "^3.5.2",
                 "mysql2": "^3.19.1",
@@ -3439,21 +3439,21 @@
             }
         },
         "node_modules/atsds": {
-            "version": "0.0.17",
-            "resolved": "https://registry.npmjs.org/atsds/-/atsds-0.0.17.tgz",
-            "integrity": "sha512-pq4ByMi4Zv6ycNPEzJ9iaVGYBYfb2cwP5Yoe7dcXbWuQz+xtgUH1XPqnBRbk8BJPg1dWzWkbEfmRszOvFAvuzw==",
+            "version": "0.0.18",
+            "resolved": "https://registry.npmjs.org/atsds/-/atsds-0.0.18.tgz",
+            "integrity": "sha512-scc7JY6nLLYvwM5C765q9LMCi1xWWmis/FBmEx77E2NAowDiD5Mvt4Odoi2kQUiDT6e2lOUd8tTy/hATSytLkg==",
             "license": "AGPL-3.0-or-later"
         },
         "node_modules/atsds-bnf": {
-            "version": "0.0.17",
-            "resolved": "https://registry.npmjs.org/atsds-bnf/-/atsds-bnf-0.0.17.tgz",
-            "integrity": "sha512-Ral4DIOahnTOVIfRSmVI+/Dw8mg1olAkXoT+l4E+CzPlZFliCX+fAVyoU45G32fboc9zjh8drCjCYoWe05wzEw==",
+            "version": "0.0.18",
+            "resolved": "https://registry.npmjs.org/atsds-bnf/-/atsds-bnf-0.0.18.tgz",
+            "integrity": "sha512-OEyrWIcEYTtNGARwlpCa5H59U0+MgWEtdJU9y0jqmYWgQvobn+pafcmaqX75v1FDqzG4cP6MM7KjCqyYuRZAxw==",
             "license": "AGPL-3.0-or-later"
         },
         "node_modules/atsds-egg": {
-            "version": "0.0.17",
-            "resolved": "https://registry.npmjs.org/atsds-egg/-/atsds-egg-0.0.17.tgz",
-            "integrity": "sha512-QWVeTCjaQ3/5+yUOuNvqaeFL3N+oAKeD2I0cnmnnK1kXPaZ87CyCU4r3xBKpAgJScD5n+0p6OSV3YdLfDSoQeQ==",
+            "version": "0.0.18",
+            "resolved": "https://registry.npmjs.org/atsds-egg/-/atsds-egg-0.0.18.tgz",
+            "integrity": "sha512-LN9bUlZ9bqnMvUO60JeHXLefj9HO5inibUIqnHSamaAp6LTAqVXRqqC3/RU85CjGv5GH/UvlsyF075R8NAYBFA==",
             "license": "AGPL-3.0-or-later",
             "dependencies": {
                 "atsds": "*"
diff --git a/package.json b/package.json
index 7c78bde..6dcab32 100644
--- a/package.json
+++ b/package.json
@@ -22,9 +22,9 @@
         "docs": "vitepress build"
     },
     "dependencies": {
-        "atsds": "^0.0.17",
-        "atsds-bnf": "^0.0.17",
-        "atsds-egg": "^0.0.17",
+        "atsds": "^0.0.18",
+        "atsds-bnf": "^0.0.18",
+        "atsds-egg": "^0.0.18",
         "commander": "^14.0.3",
         "mariadb": "^3.5.2",
         "mysql2": "^3.19.1",
diff --git a/pyproject.toml b/pyproject.toml
index 243ee07..61e9dbf 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -7,9 +7,9 @@ readme = "README.md"
 authors = [{ email = "hzhangxyz@outlook.com", name = "Hao Zhang" }]
 requires-python = ">=3.11"
 dependencies = [
-    "apyds~=0.0.14",
-    "apyds-bnf~=0.0.14",
-    "apyds-egg~=0.0.14",
+    "apyds~=0.0.18",
+    "apyds-bnf~=0.0.18",
+    "apyds-egg~=0.0.18",
     "prompt-toolkit~=3.0.52",
     "sqlalchemy[aiosqlite,aiomysql,postgresql-asyncpg]~=2.0.45",
     "tyro~=1.0.3",
diff --git a/tests/test_chain.py b/tests/test_chain.py
new file mode 100644
index 0000000..1e6ebc8
--- /dev/null
+++ b/tests/test_chain.py
@@ -0,0 +1,185 @@
+import asyncio
+import tempfile
+import pathlib
+import pytest
+import pytest_asyncio
+from sqlalchemy import select
+from ddss.orm import initialize_database, Facts
+from ddss.chain import main
+
+
+@pytest_asyncio.fixture
+async def temp_db():
+    """Fixture to create a temporary database."""
+    with tempfile.TemporaryDirectory() as tmpdir:
+        db_path = pathlib.Path(tmpdir) / "test.db"
+        addr = f"sqlite+aiosqlite:///{db_path.as_posix()}"
+        engine, session = await initialize_database(addr)
+        yield addr, engine, session
+        await engine.dispose()
+
+
+@pytest.mark.asyncio
+async def test_chain_simple_modus_ponens(temp_db):
+    """Test simple modus ponens: 'a => b' with '=> a' produces '=> b'."""
+    addr, engine, session = temp_db
+
+    # Add initial facts: a => b and => a
+    async with session() as sess:
+        sess.add(Facts(data="a\n----\nb\n"))
+        sess.add(Facts(data="----\na\n"))
+        await sess.commit()
+
+    # Run the main function with a timeout
+    task = asyncio.create_task(main(session))
+    await asyncio.sleep(0.3)  # Give it time to process
+    task.cancel()
+    try:
+        await task
+    except asyncio.CancelledError:
+        pass
+
+    # Check that the new fact '=> b' was created
+    async with session() as sess:
+        all_facts = await sess.scalars(select(Facts))
+        facts_data = [f.data for f in all_facts]
+
+    assert "----\nb\n" in facts_data
+
+
+@pytest.mark.asyncio
+async def test_chain_multi_premise(temp_db):
+    """Test multi-premise rule: 'a, b => c'"""
+    addr, engine, session = temp_db
+
+    # Add initial facts: a, b => c and => a and => b
+    async with session() as sess:
+        sess.add(Facts(data="a\nb\n----\nc\n"))
+        sess.add(Facts(data="----\na\n"))
+        sess.add(Facts(data="----\nb\n"))
+        await sess.commit()
+
+    # Run the main function with a timeout
+    task = asyncio.create_task(main(session))
+    await asyncio.sleep(0.3)  # Give it time to process
+    task.cancel()
+    try:
+        await task
+    except asyncio.CancelledError:
+        pass
+
+    async with session() as sess:
+        all_facts = await sess.scalars(select(Facts))
+        facts_data = [f.data for f in all_facts]
+
+    assert "----\nc\n" in facts_data
+
+
+@pytest.mark.asyncio
+async def test_chain_no_inference_without_matching_facts(temp_db):
+    """Test that no inference occurs when facts don't match."""
+    addr, engine, session = temp_db
+
+    # Add facts that don't match: a => b and => c
+    async with session() as sess:
+        sess.add(Facts(data="a\n----\nb\n"))
+        sess.add(Facts(data="----\nc\n"))
+        await sess.commit()
+
+    # Run the main function with a timeout
+    task = asyncio.create_task(main(session))
+    await asyncio.sleep(0.3)  # Give it time to process
+    task.cancel()
+    try:
+        await task
+    except asyncio.CancelledError:
+        pass
+
+    # Check that only the original facts exist (no new inference)
+    async with session() as sess:
+        all_facts = await sess.scalars(select(Facts))
+        facts_data = [f.data for f in all_facts]
+
+    # Should only have the original 2 facts
+    assert len(facts_data) == 2
+    assert "a\n----\nb\n" in facts_data
+    assert "----\nc\n" in facts_data
+
+
+@pytest.mark.asyncio
+async def test_chain_multiple_inferences(temp_db):
+    """Test multiple inference steps in sequence."""
+    addr, engine, session = temp_db
+
+    # Add facts for chained inference: a => b, b => c, => a
+    async with session() as sess:
+        sess.add(Facts(data="a\n----\nb\n"))
+        sess.add(Facts(data="b\n----\nc\n"))
+        sess.add(Facts(data="----\na\n"))
+        await sess.commit()
+
+    # Run the main function with a timeout
+    task = asyncio.create_task(main(session))
+    await asyncio.sleep(0.5)  # Give it time for multiple rounds
+    task.cancel()
+    try:
+        await task
+    except asyncio.CancelledError:
+        pass
+
+    # Check that both => b and => c were inferred
+    async with session() as sess:
+        all_facts = await sess.scalars(select(Facts))
+        facts_data = [f.data for f in all_facts]
+
+    assert "----\nb\n" in facts_data
+    assert "----\nc\n" in facts_data
+
+
+@pytest.mark.asyncio
+async def test_chain_cancellation(temp_db):
+    """Test that the chain main function can be cancelled without hanging."""
+    addr, engine, session = temp_db
+
+    # Run the main function and cancel it
+    task = asyncio.create_task(main(session))
+    await asyncio.sleep(0.1)  # Let it start
+    task.cancel()
+
+    # Should complete without hanging
+    try:
+        await task
+    except asyncio.CancelledError:
+        pass  # Expected - cancellation worked
+
+
+@pytest.mark.asyncio
+async def test_chain_duplicate_facts_not_added(temp_db):
+    """Test that duplicate facts are not added to the database."""
+    addr, engine, session = temp_db
+
+    # Add facts that will produce a duplicate: a => b twice with => a
+    async with session() as sess:
+        sess.add(Facts(data="a\n----\nc\n"))
+        sess.add(Facts(data="b\n----\nc\n"))
+        sess.add(Facts(data="----\na\n"))
+        sess.add(Facts(data="----\nb\n"))
+        await sess.commit()
+
+    # Run the main function
+    task = asyncio.create_task(main(session))
+    await asyncio.sleep(0.3)
+    task.cancel()
+    try:
+        await task
+    except asyncio.CancelledError:
+        pass
+
+    # Count the facts - should have 5: original 4 + 1 inferred => c
+    async with session() as sess:
+        all_facts = await sess.scalars(select(Facts))
+        facts_list = list(all_facts)
+
+    assert len(facts_list) == 5
+    facts_data = [f.data for f in facts_list]
+    assert facts_data.count("----\nc\n") == 1  # Should only appear once
diff --git a/tests/test_chain.ts b/tests/test_chain.ts
new file mode 100644
index 0000000..28f33ec
--- /dev/null
+++ b/tests/test_chain.ts
@@ -0,0 +1,121 @@
+import { jest, describe, it, expect, beforeEach, afterEach } from "@jest/globals";
+import { main } from "../ddss/chain.ts";
+import { Fact, Idea } from "../ddss/orm.ts";
+import { createTempDb } from "./utils.ts";
+
+describe("chain", () => {
+    let sequelize: any;
+    let cleanup: any;
+    let addr: string;
+
+    beforeEach(async () => {
+        const db = await createTempDb();
+        sequelize = db.sequelize;
+        cleanup = db.cleanup;
+        addr = db.addr;
+    });
+
+    afterEach(async () => {
+        await cleanup();
+        jest.restoreAllMocks();
+    });
+
+    const runMain = async (sequelize: any, maxIterations: number = 3) => {
+        let calls = 0;
+        // We need to spy on Fact.findAll because it's the driver of the loop
+        // We can't easily access the original method if we overwrite it with spy unless we save it.
+
+        const originalFindAll = Fact.findAll;
+        const spy = jest.spyOn(Fact, "findAll");
+
+        spy.mockImplementation(async (options: any) => {
+            calls++;
+            const result = await originalFindAll.call(Fact, options);
+
+            if (calls > maxIterations) {
+                throw new Error("ForceStop");
+            }
+            return result;
+        });
+
+        try {
+            await main(sequelize);
+        } catch (e: any) {
+            if (e.message === "ForceStop") return;
+            console.error("Unexpected error in runMain:", e);
+            throw e;
+        } finally {
+            spy.mockRestore();
+        }
+    };
+
+    it("test_chain_simple_modus_ponens", async () => {
+        // Add initial facts: a => b and => a
+        await Fact.bulkCreate([{ data: "a\n----\nb\n" }, { data: "----\na\n" }]);
+
+        await runMain(sequelize);
+
+        const facts = await Fact.findAll();
+        const factsData = facts.map((f) => f.data);
+        expect(factsData).toContain("----\nb\n");
+    });
+
+    it("test_chain_multi_premise", async () => {
+        // Add initial facts: a, b => c and => a and => b
+        await Fact.bulkCreate([{ data: "a\nb\n----\nc\n" }, { data: "----\na\n" }, { data: "----\nb\n" }]);
+
+        await runMain(sequelize);
+
+        const facts = await Fact.findAll();
+        const factsData = facts.map((f) => f.data);
+        expect(factsData).toContain("----\nc\n");
+    });
+
+    it("test_chain_no_inference_without_matching_facts", async () => {
+        // Add facts that don't match: a => b and => c
+        await Fact.bulkCreate([{ data: "a\n----\nb\n" }, { data: "----\nc\n" }]);
+
+        await runMain(sequelize);
+
+        const facts = await Fact.findAll();
+        const factsData = facts.map((f) => f.data);
+
+        expect(factsData).toHaveLength(2);
+        expect(factsData).toContain("a\n----\nb\n");
+        expect(factsData).toContain("----\nc\n");
+    });
+
+    it("test_chain_multiple_inferences", async () => {
+        // Add facts for chained inference: a => b, b => c, => a
+        await Fact.bulkCreate([{ data: "a\n----\nb\n" }, { data: "b\n----\nc\n" }, { data: "----\na\n" }]);
+
+        await runMain(sequelize, 5);
+
+        const facts = await Fact.findAll();
+        const factsData = facts.map((f) => f.data);
+
+        expect(factsData).toContain("----\nb\n");
+        expect(factsData).toContain("----\nc\n");
+    });
+
+    it("test_chain_duplicate_facts_not_added", async () => {
+        // Add facts that will produce a duplicate: a => c and b => c, with => a and => b
+        // Both derive => c, but only one should be added.
+
+        await Fact.bulkCreate([
+            { data: "a\n----\nc\n" },
+            { data: "b\n----\nc\n" },
+            { data: "----\na\n" },
+            { data: "----\nb\n" },
+        ]);
+
+        await runMain(sequelize, 5);
+
+        const facts = await Fact.findAll();
+        const factsData = facts.map((f) => f.data);
+
+        expect(facts.length).toBe(5); // 4 original + 1 inferred
+        const cCount = factsData.filter((d) => d === "----\nc\n").length;
+        expect(cCount).toBe(1);
+    });
+});
diff --git a/uv.lock b/uv.lock
index d7f3060..437a486 100644
--- a/uv.lock
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 wheels = [
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 [[package]]
@@ -255,9 +255,9 @@ dev = [
 
 [package.metadata]
 requires-dist = [
-    { name = "apyds", specifier = "~=0.0.14" },
-    { name = "apyds-bnf", specifier = "~=0.0.14" },
-    { name = "apyds-egg", specifier = "~=0.0.14" },
+    { name = "apyds", specifier = "~=0.0.18" },
+    { name = "apyds-bnf", specifier = "~=0.0.18" },
+    { name = "apyds-egg", specifier = "~=0.0.18" },
     { name = "prompt-toolkit", specifier = "~=3.0.52" },
     { name = "pytest", marker = "extra == 'dev'", specifier = "~=9.0.2" },
     { name = "pytest-asyncio", marker = "extra == 'dev'", specifier = "~=1.3.0" },