diff --git a/course/lecture1-crash-course/lec1.pdf b/course/lecture1-crash-course/lec1.pdf
new file mode 100644
index 0000000..ce6b6c2
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diff --git a/course/lecture2-lex-parse/lec2.mbt b/course/lecture2-lex-parse/lec2.mbt
new file mode 100644
index 0000000..6512c07
--- /dev/null
+++ b/course/lecture2-lex-parse/lec2.mbt
@@ -0,0 +1,314 @@
+struct Context {
+  str : String
+  mut offset : Int
+  array : Array[Token]
+}
+
+fn lex(context : Context) -> Unit {
+  let { offset, str, array } = context
+  if offset >= str.length() {
+    return
+  }
+  match str[offset] {
+    '+' => {
+      array.push(Add)
+      context.offset += 1
+      lex(context)
+    }
+    '-' => {
+      array.push(Sub)
+      context.offset += 1
+      lex(context)
+    }
+    '*' => {
+      array.push(Mul)
+      context.offset += 1
+      lex(context)
+    }
+    '/' => {
+      array.push(Div)
+      context.offset += 1
+      lex(context)
+    }
+    '(' => {
+      array.push(LParen)
+      context.offset += 1
+      lex(context)
+    }
+    ')' => {
+      array.push(RParen)
+      context.offset += 1
+      lex(context)
+    }
+    ' ' | '\n' | '\t' | '\r' => {
+      context.offset += 1
+      lex(context)
+    }
+    ch => if ch >= '0' && ch <= '9' { lex_number(context) } else { panic() }
+  }
+}
+
+fn lex_number(context : Context) -> Unit {
+  let { offset, str, .. } = context
+  let number = "\{str[offset]}"
+  context.offset += 1
+  lex_number_rest(context, number)
+}
+
+fn lex_number_rest(context : Context, number : String) -> Unit {
+  let { offset, str, array } = context
+  if offset >= str.length() {
+    array.push(Number(@strconv.parse_int?(number).unwrap()))
+    return
+  }
+  let ch = str[offset]
+  if ch >= '0' && ch <= '9' {
+    context.offset += 1
+    lex_number_rest(context, number + ch.to_string())
+  } else {
+    array.push(Number(@strconv.parse_int?(number).unwrap()))
+    lex(context)
+  }
+}
+
+test {
+  let array = []
+  lex({ str: "-10123 -+ - 523 103 (5))", offset: 0, array })
+  inspect!(
+    array,
+    content="[Sub, Number(10123), Sub, Add, Sub, Number(523), Number(103), LParen, Number(5), RParen, RParen]",
+  )
+}
+
+enum Token {
+  Number(Int)
+  LParen
+  RParen
+  Add
+  Sub
+  Mul
+  Div
+} derive(Show)
+
+enum Expression {
+  Number(Int)
+  Plus(Expression, Expression)
+  Minus(Expression, Expression)
+  Multiply(Expression, Expression)
+  Divide(Expression, Expression)
+} derive(Show)
+
+type Parser[V] (ArrayView[Token]) -> (V, ArrayView[Token])?
+
+fn parse[V](
+  self : Parser[V],
+  tokens : ArrayView[Token]
+) -> (V, ArrayView[Token])? {
+  (self._)(tokens)
+}
+
+fn ptoken(predicate : (Token) -> Bool) -> Parser[Token] {
+  fn {
+    [hd, .. as tl] => if predicate(hd) { Some((hd, tl)) } else { None }
+    [] => None
+  }
+}
+
+fn map[I, O](self : Parser[I], f : (I) -> O) -> Parser[O] {
+  fn {
+    input =>
+      match self.parse(input) {
+        Some((token, rest)) => Some((f(token), rest))
+        None => None
+      }
+  }
+}
+
+fn and[V1, V2](self : Parser[V1], parser2 : Parser[V2]) -> Parser[(V1, V2)] {
+  fn {
+    input =>
+      self
+      .parse(input)
+      .bind(
+        fn {
+          (value, rest) =>
+            parser2
+            .parse(rest)
+            .map(fn { (value2, rest2) => ((value, value2), rest2) })
+        },
+      )
+  }
+}
+
+fn or[Value](self : Parser[Value], parser2 : Parser[Value]) -> Parser[Value] {
+  fn {
+    input =>
+      match self.parse(input) {
+        None => parser2.parse(input)
+        Some(_) as result => result
+      }
+  }
+}
+
+fn many[Value : Show](self : Parser[Value]) -> Parser[Array[Value]] {
+  fn(input) {
+    let cumul = []
+    let mut rest = input
+    println("Many")
+    println(input)
+    println(self.parse(input))
+    loop self.parse(input) {
+      None => Some((cumul, rest))
+      Some((v, rest_)) => {
+        println("Many")
+        println(rest_)
+        println(self.parse(rest_))
+        cumul.push(v)
+        rest = rest_
+        continue self.parse(rest_)
+      }
+    }
+  }
+}
+
+fn Parser::ref[Value](ref : Ref[Parser[Value]]) -> Parser[Value] {
+  fn(input) { ref.val.parse(input) }
+}
+
+let lparen : Parser[Token] = ptoken(
+  fn {
+    LParen => true
+    _ => false
+  },
+)
+
+let rparen : Parser[Token] = ptoken(
+  fn {
+    RParen => true
+    _ => false
+  },
+)
+
+let number : Parser[Expression] = ptoken(
+  fn {
+    Token::Number(_) => true
+    _ => false
+  },
+).map(fn { Number(value) => Expression::Number(value) })
+
+// 定义互递归函数
+// atomic = Value / "(" expression ")"
+fn atomic(tokens : ArrayView[Token]) -> (Expression, ArrayView[Token])? {
+  lparen
+  .and(
+    expression, // 引用函数
+  )
+  .and(rparen)
+  .map(fn { ((_, expr), _) => expr })
+  .or(number)
+  .parse(tokens)
+}
+
+fn combine(tokens : ArrayView[Token]) -> (Expression, ArrayView[Token])? {
+  Parser(atomic)
+  .and(
+    ptoken(
+      fn {
+        Mul | Div => true
+        _ => false
+      },
+    )
+    .and(atomic)
+    .many(),
+  )
+  .map(
+    fn {
+      (e, list) => {
+        println("fold: \{e} \{list}")
+        list.fold(
+          init=e,
+          fn {
+            e, (Mul, expr) => Multiply(e, expr)
+            e, (_, expr) => Divide(e, expr)
+          },
+        )
+      }
+    },
+  )
+  .parse(tokens)
+}
+
+fn expression(tokens : ArrayView[Token]) -> (Expression, ArrayView[Token])? {
+  Parser(combine)
+  .and(
+    ptoken(
+      fn {
+        Add | Sub => true
+        _ => false
+      },
+    )
+    .and(combine)
+    .many(),
+  )
+  .map(
+    fn {
+      (e, list) => {
+        let result = list.fold(
+          init=e,
+          fn {
+            e, (Add, expr) => Plus(e, expr)
+            e, (_, expr) => Minus(e, expr)
+          },
+        )
+        println("fold: \{e} \{list} -> \{result}")
+        result
+      }
+    },
+  )
+  .parse(tokens)
+}
+
+let parser : Parser[Expression] = Parser(expression)
+
+test {
+  let input = "1 + 2 - 3"
+  let tokens = []
+  lex({ str: input, offset: 0, array: tokens })
+  inspect!(tokens, content="[Number(1), Add, Number(2), Sub, Number(3)]")
+  let (expr, _) = parser.parse(tokens[:]).unwrap()
+  inspect!(expr, content="Minus(Plus(Number(1), Number(2)), Number(3))")
+  let input = "1 + 2 * 3 - 6"
+  let tokens = []
+  lex({ str: input, offset: 0, array: tokens })
+  inspect!(
+    tokens,
+    content="[Number(1), Add, Number(2), Mul, Number(3), Sub, Number(6)]",
+  )
+  let (expr, _) = parser.parse(tokens[:]).unwrap()
+  inspect!(
+    expr,
+    content="Minus(Plus(Number(1), Multiply(Number(2), Number(3))), Number(6))",
+  )
+}
+
+// fn pparser() -> Parser[Expression] {
+//   // 首先定义空引用
+//   let expression_ref : Ref[Parser[Expression]] = { val : fn{ _ => None } }
+
+//   // atomic : Number | LParen expr RParen;
+//   let atomic =  // 利用引用定义
+//     (lparen.and(ref(expression_ref)).and(rparen).map(fn { ((_, expr), _) => expr}))
+//       .or(number)
+
+//   // combine : atomic ( (Mul | Div) atomic)*;
+//   let combine = atomic.and(multiply.or(divide).and(atomic).many()).map(fn {
+//     ...
+//   })
+
+//   // expression : combine ( (Add | Sub) combine)*;
+//   expression_ref.val = combine.and(plus.or(minus).and(combine).many()).map(fn {
+//     ...
+//   })
+
+//   expression_ref.val
+// }
diff --git a/course/lecture2-lex-parse/lec2.pdf b/course/lecture2-lex-parse/lec2.pdf
new file mode 100644
index 0000000..e4a0853
Binary files /dev/null and b/course/lecture2-lex-parse/lec2.pdf differ
diff --git a/readme.md b/readme.md
index 91725e1..cc1fe32 100644
--- a/readme.md
+++ b/readme.md
@@ -11,9 +11,9 @@
 
 | Date   | Topic                                              | Slides | Video | Example code | Recommended reading |
 | ------ | -------------------------------------------------- | ------ | ----- | ------------ | ------------------- |
-| Part 0 | Introduction to language design and implementation | [lec0](./course/lecture0-intro/lec0.pdf)       |[课时一（上）](https://www.bilibili.com/video/BV1HNp3eUEcA/?spm_id_from=333.999.0.0)、[课时一（下）](https://www.bilibili.com/video/BV1RipgeBEQd/?spm_id_from=333.999.0.0)       |              |
-| Part 1 | MoonBit crash course                               |        |       |              |                     |
-| Part 2 | Parsing                                            |        |       |              |                     |
+| Part 0 | Introduction to language design and implementation | [lec0](./course/lecture0-intro/lec0.pdf)       |[课时一（上）](https://www.bilibili.com/video/BV1HNp3eUEcA/)、[课时一（下）](https://www.bilibili.com/video/BV1RipgeBEQd/)       |              |
+| Part 1 | MoonBit crash course                               | [lec1](./course/lecture1-crash-course/lec1.pdf) | [课时二](https://www.bilibili.com/video/BV1WtHQewEGj/) |              |                     |
+| Part 2 | Parsing                                            | [lec2](./course/lecture2-lex-parse/) |       |  [lec2.mbt](./course/lecture2-lex-parse/lec2.mbt) |                     |
 | Part 3 | Semantics analysis and type inferences             |        |       |              |                     |
 | Part 4 | Bidrectional type checking                         |
 | Part 5 | IR designs (ANF, CPS, KNF)                              |