# HG changeset patch
# User Christian Urban <christian.urban@kcl.ac.uk>
# Date 1731133415 0
# Node ID ebb4a40d9bae3fa846d2c0f850ab2278b98307fe
# Parent  51e00f223792c7529cabafcf61659dcc838c9756
updated

diff -r 51e00f223792 -r ebb4a40d9bae progs/Matcher2.thy
--- a/progs/Matcher2.thy	Fri Oct 25 18:54:08 2024 +0100
+++ b/progs/Matcher2.thy	Sat Nov 09 06:23:35 2024 +0000
@@ -131,7 +131,6 @@
 by (auto)
 
 
-
 section \<open>Semantics of Regular Expressions\<close>
  
 fun
diff -r 51e00f223792 -r ebb4a40d9bae progs/parser-combinators/comb1.sc
--- a/progs/parser-combinators/comb1.sc	Fri Oct 25 18:54:08 2024 +0100
+++ b/progs/parser-combinators/comb1.sc	Sat Nov 09 06:23:35 2024 +0000
@@ -60,10 +60,19 @@
     if (in != "" && in.head == c) Set((c, in.tail)) else Set()
 }
 
+
+
 val ap = CharParser('a')
 val bp = CharParser('b')
 
+print(ap.parse("aade"))
+
 val abp = SeqParser(ap, bp)
+print(abp.parse("abade"))
+
+val abp = AltParser(ap, bp)
+print(abp.parse("abc"))
+
 MapParser(abp, ab => s"$ab").parse("abc")
 
 // an atomic parser for parsing strings according to a regex
@@ -78,6 +87,8 @@
 
 // atomic parsers for numbers and "verbatim" strings
 val NumParser = RegexParser("[0-9]+".r)
+NumParser.parse("123abc345")
+
 def StrParser(s: String) = RegexParser(Regex.quote(s).r)
 
 NumParser.parse("123a123bc")
@@ -95,6 +106,8 @@
 //
 // p"<_some_string_>"
 
+
+
 extension (sc: StringContext)
   def p(args: Any*) = StrParser(sc.s(args*))
 
@@ -124,7 +137,7 @@
 
 val NumParserInt2 = NumParser.map(_.toInt)
 
-val x = 1 + 3
+
 
 // A parser for palindromes (just returns them as string)
 //  since the parser is recursive it needs to be lazy
@@ -135,7 +148,7 @@
 }
 
 // examples
-Pal.parse_all("abacaba")
+Pal.parse("abaaba")
 Pal.parse("abacaaba")
 
 println("Palindrome: " + Pal.parse_all("abaaaba"))
@@ -157,6 +170,7 @@
 
 // A parser for arithmetic expressions (Terms and Factors)
 
+
 lazy val E: Parser[String, Int] = {
   (T ~ p"+" ~ E).map{ case ((x, _), z) => x + z } ||
   (T ~ p"-" ~ E).map{ case ((x, _), z) => x - z } || T }
@@ -178,8 +192,8 @@
 
 
 // with parser combinators (and many other parsing algorithms)
-// no left-recursion is allowed, otherwise the will loop;
-// newer versions of Scala (3.5) will actually give a warning
+// no left-recursion is allowed, otherwise they will loop;
+// newer versions of Scala (3.5+) will actually give a warning
 // about this
 
 /*
diff -r 51e00f223792 -r ebb4a40d9bae progs/parser-combinators/comb2-simple.sc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/progs/parser-combinators/comb2-simple.sc	Sat Nov 09 06:23:35 2024 +0000
@@ -0,0 +1,268 @@
+// Parser Combinators:
+// Simple Version for WHILE-language
+//====================================
+//
+//
+// call with
+//
+//    amm comb2-simple.sc
+
+
+trait IsSeq[I] {
+  extension (i: I) def isEmpty: Boolean
+}
+
+given IsSeq[String] = _.isEmpty
+given [I]: IsSeq[Seq[I]] = _.isEmpty
+
+// parser class
+//==============
+
+abstract class Parser[I : IsSeq, T]  {
+  def parse(in: I): Set[(T, I)]
+
+  def parse_all(in: I) : Set[T] =
+    for ((hd, tl) <- parse(in);
+        if tl.isEmpty) yield hd
+}
+
+// parser combinators
+//====================
+
+// alternative parser
+class AltParser[I : IsSeq, T](p: => Parser[I, T],
+                              q: => Parser[I, T]) extends Parser[I, T] {
+  def parse(in: I) = p.parse(in) ++ q.parse(in)
+}
+
+// sequence parser
+class SeqParser[I: IsSeq, T, S](p: => Parser[I, T],
+                                q: => Parser[I, S]) extends Parser[I, (T, S)] {
+  def parse(in: I) =
+    for ((hd1, tl1) <- p.parse(in);
+         (hd2, tl2) <- q.parse(tl1)) yield ((hd1, hd2), tl2)
+}
+
+// map parser
+class MapParser[I : IsSeq, T, S](p: => Parser[I, T],
+                                 f: T => S) extends Parser[I, S] {
+  def parse(in: I) = for ((hd, tl) <- p.parse(in)) yield (f(hd), tl)
+}
+
+// more convenient syntax for parser combinators
+extension [I: IsSeq, T](p: Parser[I, T]) {
+  def ||(q : => Parser[I, T]) = new AltParser[I, T](p, q)
+  def ~[S] (q : => Parser[I, S]) = new SeqParser[I, T, S](p, q)
+  def map[S](f: => T => S) = new MapParser[I, T, S](p, f)
+}
+
+// atomic parser for (particular) strings
+case class StrParser(s: String) extends Parser[String, String] {
+  def parse(sb: String) = {
+    val (prefix, suffix) = sb.splitAt(s.length)
+    if (prefix == s) Set((prefix, suffix)) else Set()
+  }
+}
+
+// atomic parser for identifiers (variable names)
+case object IdParser extends Parser[String, String] {
+  val reg = "[a-z][a-z,0-9]*".r
+  def parse(sb: String) = reg.findPrefixOf(sb) match {
+    case None => Set()
+    case Some(s) => Set(sb.splitAt(s.length))
+  }
+}
+
+// atomic parser for numbers (transformed into Ints)
+case object NumParser extends Parser[String, Int] {
+  val reg = "[0-9]+".r
+  def parse(sb: String) = reg.findPrefixOf(sb) match {
+    case None => Set()
+    case Some(s) => {
+      val (hd, tl) = sb.splitAt(s.length)
+      Set((hd.toInt, tl)) 
+    }
+  }
+}
+
+// the following string interpolation allows us to write 
+// StrParser(_some_string_) more conveniently as 
+//
+// p"<_some_string_>" 
+
+extension (sc: StringContext) 
+  def p(args: Any*) = StrParser(sc.s(args*))
+
+// the abstract syntax trees for the WHILE language
+abstract class Stmt
+abstract class AExp
+abstract class BExp 
+
+type Block = List[Stmt]
+
+case object Skip extends Stmt
+case class If(a: BExp, bl1: Block, bl2: Block) extends Stmt
+case class While(b: BExp, bl: Block) extends Stmt
+case class Assign(s: String, a: AExp) extends Stmt
+case class Write(s: String) extends Stmt
+
+case class Var(s: String) extends AExp
+case class Num(i: Int) extends AExp
+case class Aop(o: String, a1: AExp, a2: AExp) extends AExp
+
+case object True extends BExp
+case object False extends BExp
+case class Bop(o: String, a1: AExp, a2: AExp) extends BExp
+case class And(b1: BExp, b2: BExp) extends BExp
+case class Or(b1: BExp, b2: BExp) extends BExp
+
+
+// arithmetic expressions
+lazy val AExp: Parser[String, AExp] = 
+  (Te ~ p"+" ~ AExp).map[AExp]{ case ((x, _), z) => Aop("+", x, z) } ||
+  (Te ~ p"-" ~ AExp).map[AExp]{ case ((x, _), z) => Aop("-", x, z) } || Te
+lazy val Te: Parser[String, AExp] = 
+  (Fa ~ p"*" ~ Te).map[AExp]{ case ((x, _), z) => Aop("*", x, z) } || 
+  (Fa ~ p"/" ~ Te).map[AExp]{ case ((x, _), z) => Aop("/", x, z) } || Fa  
+lazy val Fa: Parser[String, AExp] = 
+   (p"(" ~ AExp ~ p")").map{ case ((_, y), _) => y } || 
+   IdParser.map(Var(_)) || 
+   NumParser.map(Num(_))
+
+// boolean expressions with some simple nesting
+lazy val BExp: Parser[String, BExp] = 
+  (AExp ~ p"==" ~ AExp).map[BExp]{ case ((x, _), z) => Bop("==", x, z) } || 
+  (AExp ~ p"!=" ~ AExp).map[BExp]{ case ((x, _), z) => Bop("!=", x, z) } || 
+  (AExp ~ p"<" ~ AExp).map[BExp]{ case ((x, _), z) => Bop("<", x, z) } || 
+  (AExp ~ p">" ~ AExp).map[BExp]{ case ((x, _), z) => Bop(">", x, z) } ||
+  (p"(" ~ BExp ~ p")" ~ p"&&" ~ BExp).map[BExp]{ case ((((_, y), _), _), v) => And(y, v) } ||
+  (p"(" ~ BExp ~ p")" ~ p"||" ~ BExp).map[BExp]{ case ((((_, y), _), _), v) => Or(y, v) } ||
+  (p"true".map[BExp]{ _ => True }) || 
+  (p"false".map[BExp]{ _ => False }) ||
+  (p"(" ~ BExp ~ p")").map[BExp]{ case ((_, x), _) => x }
+
+// Stmt: a single statement
+// Stmts: multiple statements
+// Block: blocks (enclosed in curly braces)
+lazy val Stmt: Parser[String, Stmt] =
+  ((p"skip".map[Stmt]{_ => Skip }) ||
+  (IdParser ~ p":=" ~ AExp).map[Stmt]{ case ((x, _), z) => Assign(x, z) } ||
+  (p"write(" ~ IdParser ~ p")").map[Stmt]{ case ((_, y), _) => Write(y) } ||
+  (p"if" ~ BExp ~ p"then" ~ Block ~ p"else" ~ Block)
+    .map[Stmt]{ case (((((_, y), _), u), _), w) => If(y, u, w) } ||
+  (p"while" ~ BExp ~ p"do" ~ Block).map[Stmt]{ case (((_, y), _), w) => While(y, w) })  
+lazy val Stmts: Parser[String, Block] =
+  (Stmt ~ p";" ~ Stmts).map[Block]{ case ((x, _), z) => x :: z } ||
+  (Stmt.map[Block]{ s => List(s) })
+lazy val Block: Parser[String, Block] =
+  ((p"{" ~ Stmts ~ p"}").map{ case ((_, y), _) => y } || 
+  (Stmt.map(s => List(s))))
+
+
+// Examples
+println(AExp.parse_all("2*2*2"))
+println(BExp.parse_all("5+3"))
+println(Stmt.parse_all("5==3"))
+println(Stmt.parse_all("x2:=5+3"))
+println(Block.parse_all("{x:=5;y:=8}"))
+println(Block.parse_all("if(false)then{x:=5}else{x:=10}"))
+
+val fib = """n := 10;
+             minus1 := 0;
+             minus2 := 1;
+             temp := 0;
+             while (n > 0) do {
+                 temp := minus2;
+                 minus2 := minus1 + minus2;
+                 minus1 := temp;
+                 n := n - 1
+             };
+             result := minus2""".replaceAll("\\s+", "")
+
+println("fib testcase:")
+println(Stmts.parse_all(fib))
+
+
+// an interpreter for the WHILE language
+type Env = Map[String, Int]
+
+def eval_aexp(a: AExp, env: Env) : Int =
+  a match {
+    case Num(i) => i
+    case Var(s) => env(s)
+    case Aop("+", a1, a2) => eval_aexp(a1, env) + eval_aexp(a2, env)
+    case Aop("-", a1, a2) => eval_aexp(a1, env) - eval_aexp(a2, env)
+    case Aop("*", a1, a2) => eval_aexp(a1, env) * eval_aexp(a2, env)
+    case Aop("/", a1, a2) => eval_aexp(a1, env) / eval_aexp(a2, env)
+  }
+
+def eval_bexp(b: BExp, env: Env) : Boolean =
+  b match {
+    case True => true
+    case False => false
+    case Bop("==", a1, a2) => eval_aexp(a1, env) == eval_aexp(a2, env)
+    case Bop("!=", a1, a2) => !(eval_aexp(a1, env) == eval_aexp(a2, env))
+    case Bop(">", a1, a2) => eval_aexp(a1, env) > eval_aexp(a2, env)
+    case Bop("<", a1, a2) => eval_aexp(a1, env) < eval_aexp(a2, env)
+    case And(b1, b2) => eval_bexp(b1, env) && eval_bexp(b2, env)
+    case Or(b1, b2) => eval_bexp(b1, env) || eval_bexp(b2, env)
+  }
+
+def eval_stmt(s: Stmt, env: Env) : Env =
+  s match {
+    case Skip => env
+    case Assign(x, a) => env + (x -> eval_aexp(a, env))
+    case If(b, bl1, bl2) => if (eval_bexp(b, env)) eval_bl(bl1, env) else eval_bl(bl2, env) 
+    case While(b, bl) => 
+      if (eval_bexp(b, env)) eval_stmt(While(b, bl), eval_bl(bl, env))
+      else env
+    case Write(x) => { println(env(x)) ; env }  
+  }
+def eval_bl(bl: Block, env: Env) : Env =
+  bl match {
+    case Nil => env
+    case s::bl => eval_bl(bl, eval_stmt(s, env))
+  }
+
+def eval(bl: Block) : Env = eval_bl(bl, Map())
+
+// parse + evaluate fib program; then lookup what is
+// stored under the variable "result" 
+println(eval(Stmts.parse_all(fib).head)("result"))
+
+
+// more examples
+
+// calculate and print all factors bigger 
+// than 1 and smaller than n
+println("Factors")
+
+val factors =  
+   """n := 12;
+      f := 2;
+      while (f < n / 2 + 1) do {
+        if ((n / f) * f == n) then  { write(f) } else { skip };
+        f := f + 1
+      }""".replaceAll("\\s+", "")
+
+println(eval(Stmts.parse_all(factors).head))
+
+
+// calculate all prime numbers up to a number 
+println("Primes")
+
+val primes =  
+   """end := 100;
+      n := 2;
+      while (n < end) do {
+        f := 2;
+        tmp := 0;
+        while ((f < n / 2 + 1) && (tmp == 0)) do {
+          if ((n / f) * f == n) then  { tmp := 1 } else { skip };
+          f := f + 1
+        };
+        if (tmp == 0) then { write(n) } else { skip };
+        n  := n + 1
+      }""".replaceAll("\\s+", "")
+
+println(eval(Stmts.parse_all(primes).head))
diff -r 51e00f223792 -r ebb4a40d9bae progs/parser-combinators/comb2.sc
--- a/progs/parser-combinators/comb2.sc	Fri Oct 25 18:54:08 2024 +0100
+++ b/progs/parser-combinators/comb2.sc	Sat Nov 09 06:23:35 2024 +0000
@@ -17,16 +17,24 @@
 case class ~[+A, +B](x: A, y: B)
 
 
+trait IsSeq[I] {
+  extension (i: I) def isEmpty: Boolean
+}
+
+given IsSeq[String] = _.isEmpty
+given [I]: IsSeq[Seq[I]] = _.isEmpty
+
+
 // parser combinators
-abstract class Parser[I, T] { p =>
+abstract class Parser[I : IsSeq, T] { p =>
   def parse(in: I): Set[(T, I)]  
 
-  def parse_all(in: I)(using toSeq: I => Seq[?]) : Set[T] =
+  def parse_all(in: I) : Set[T] =
     for ((hd, tl) <- parse(in); 
-        if toSeq(tl).isEmpty) yield hd
+        if tl.isEmpty) yield hd
 
   // alternative parser
-  def ||(q: => Parser[I, T]) = new Parser[I, T] {
+  def ||(q: => Parser[I, T]) : Parser[I, T] = Parser[I, T] {
     def parse(in: I) = p.parse(in) ++ q.parse(in)
   }
 
diff -r 51e00f223792 -r ebb4a40d9bae slides/slides02.pdf
Binary file slides/slides02.pdf has changed
diff -r 51e00f223792 -r ebb4a40d9bae slides/slides02.tex
--- a/slides/slides02.tex	Fri Oct 25 18:54:08 2024 +0100
+++ b/slides/slides02.tex	Sat Nov 09 06:23:35 2024 +0000
@@ -392,6 +392,56 @@
 \end{frame}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}[c]
+
+\bl{$r ::= \ZERO \,\;|\;\, \ONE \,\;|\;\, c \,\;|\;\, r_1 + r_2 \,\;|\;\, r_1 \cdot r_2 \,\;|\;\, r^{*} \,\;|\;\, r^{\{n\}}$}  
+
+\end{frame}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
+
+  
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}[c]
+
+\begin{center}
+\begin{tabular}{@ {}l@ {\hspace{2mm}}c@ {\hspace{2mm}}l@ {}}
+\bl{$nullable(\ZERO)$}    & \bl{$\dn$} & \bl{\textit{false}}\\
+\bl{$nullable(\ONE)$}       & \bl{$\dn$} & \bl{\textit{true}}\\
+\bl{$nullable (c)$}             & \bl{$\dn$} & \bl{\textit{false}}\\
+\bl{$nullable (r_1 + r_2)$}     & \bl{$\dn$} & \bl{$nullable(r_1) \vee nullable(r_2)$} \\ 
+\bl{$nullable (r_1 \cdot r_2)$} & \bl{$\dn$} & \bl{$nullable(r_1) \wedge nullable(r_2)$} \\
+\bl{$nullable (r^*)$}           & \bl{$\dn$} & \bl{\textit{true}}\\
+\bl{$nullable (r^{\{n\}})$}      & \bl{$\dn$} & \bl{if $n = 0$ then \textit{true} else $nullable(r)$}\\  
+\end{tabular}
+\end{center}
+
+\end{frame}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}[c]
+
+\begin{center}
+\begin{tabular}{@ {}l@ {\hspace{2mm}}c@ {\hspace{2mm}}l@ {\hspace{-10mm}}l@ {}}
+  \bl{$\der\, c\, (\ZERO)$}      & \bl{$\dn$} & \bl{$\ZERO$} & \\
+  \bl{$\der\, c\, (\ONE)$}           & \bl{$\dn$} & \bl{$\ZERO$} & \\
+  \bl{$\der\, c\, (d)$}                     & \bl{$\dn$} & \bl{if $c = d$ then $\ONE$ else $\ZERO$} & \\
+  \bl{$\der\, c\, (r_1 + r_2)$}        & \bl{$\dn$} & \bl{$\der\, c\, r_1 + \der\, c\, r_2$} & \\
+  \bl{$\der\, c\, (r_1 \cdot r_2)$}  & \bl{$\dn$}  & \bl{if $nullable (r_1)$}\\
+  & & \bl{then $(\der\,c\,r_1) \cdot r_2 + \der\, c\, r_2$}\\ 
+  & & \bl{else $(\der\, c\, r_1) \cdot r_2$}\\
+  \bl{$\der\, c\, (r^*)$}  & \bl{$\dn$} & \bl{$(\der\,c\,r) \cdot (r^*)$}\\
+
+  \bl{$\der\, c\, (r^{\{n\}})$}  & \bl{$\dn$} & \bl{if $n = 0$ then $\ZERO$ else $(\der\,c\,r) \cdot r^{\{n-1\}}$}\\
+                                                
+  \end{tabular}
+\end{center}
+
+\end{frame}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
+
+
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[c]
diff -r 51e00f223792 -r ebb4a40d9bae slides/slides03.pdf
Binary file slides/slides03.pdf has changed
diff -r 51e00f223792 -r ebb4a40d9bae slides/slides03.tex
--- a/slides/slides03.tex	Fri Oct 25 18:54:08 2024 +0100
+++ b/slides/slides03.tex	Sat Nov 09 06:23:35 2024 +0000
@@ -104,12 +104,12 @@
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[c]
-\frametitle{\boldmath$(abcdef)^{\{n\}}$ in Rust and Scala}
+%%\frametitle{\boldmath$(abcdef)^{\{n\}}$ in Rust and Scala}
   
 \begin{textblock}{14}(1,3)
 \begin{tikzpicture}
 \begin{axis}[
-    xlabel={copies of $[abcdef]$}, 
+    xlabel={\bl{n} copies of \bl{\texttt{"}abcdef\texttt{"}}}, 
     x label style={at={(0.45,-0.16)}},
     ylabel={time in secs},
     enlargelimits=false, 
@@ -122,7 +122,7 @@
     width=10cm,
     height=6cm,
     legend entries={Rust, Scala V3},
-    legend style={font=\small,at={(1.15,0.48)},anchor=north},
+    legend style={font=\small,at={(1.0,0.48)},anchor=north},
     legend cell align=left]
     \addplot[blue,mark=*, mark options={fill=white}] table {re-rust2.data};
     \only<2>{\addplot[red,mark=*, mark options={fill=white}] table {re-scala2.data};}
@@ -130,9 +130,63 @@
 \end{tikzpicture}
 \end{textblock}
 
+\begin{textblock}{9}(1.8,1.8)
+{Regular expression: \bl{\texttt{(abcdef)$^{\{\textrm{n}\}}$}}}
+\end{textblock}
+
+\begin{textblock}{6}(10.5,11.4)
+{\bl{$n$}}
+\end{textblock}
+
 \end{frame}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}[c]
+%%\frametitle{\boldmath$(abcdef)^{\{n\}}$ in Rust and Scala}
+  
+\begin{textblock}{14}(1,3)
+\begin{tikzpicture}
+\begin{axis}[
+    xlabel={strings of the form \bl{$\underbrace{\texttt{a}...\texttt{a}}_n$}}, 
+    x label style={at={(0.45,-0.16)}},
+    ylabel={time in secs},
+    enlargelimits=false,
+    xtick={0,5,10,...,30},
+    xmax=35,
+    ymax=35,
+    ytick={0,10,...,30},
+    scaled ticks=false,
+    axis lines=left,
+    width=10cm,
+    height=6cm,
+    legend entries={Python,JavaScript,Swift,Dart},
+    legend style={font=\small,at={(1.15,0.78)},anchor=north},
+    legend cell align=left]
+    \addplot[blue,mark=*, mark options={fill=white}] table {re-python2.data};
+    \addplot[red,mark=*, mark options={fill=white}] table {re-js.data};
+    \addplot[magenta,mark=*, mark options={fill=white}] table {re-swift.data};
+    \addplot[brown,mark=*, mark options={fill=white}] table {re-dart.data};
+
+\end{axis}
+\end{tikzpicture}
+\end{textblock}
+
+\begin{textblock}{6}(1.8,1.8)
+{Regular expression: \bl{\texttt{(a*)*$\,$b}}}
+\end{textblock}
+
+\begin{textblock}{6}(10.5,11.4)
+{\bl{$n$}}
+\end{textblock}
+
+\end{frame}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% @@@@@@@@@@@@@@@@@
+\end{document}
+% @@@@@@@@@@@@@@@@@@
+
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[c]
diff -r 51e00f223792 -r ebb4a40d9bae slides/slides06.pdf
Binary file slides/slides06.pdf has changed
diff -r 51e00f223792 -r ebb4a40d9bae slides/slides06.tex
--- a/slides/slides06.tex	Fri Oct 25 18:54:08 2024 +0100
+++ b/slides/slides06.tex	Sat Nov 09 06:23:35 2024 +0000
@@ -22,7 +22,7 @@
 
 
 \begin{document}
-
+ 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[t]
 \frametitle{%
@@ -36,7 +36,7 @@
   \begin{center}
   \begin{tabular}{ll}
     Email:  & christian.urban at kcl.ac.uk\\
-     Office Hour: & Thurdays 15 -- 16\\  
+     Office Hour: & Fridays 12 -- 14\\  
   Location: & N7.07 (North Wing, Bush House)\\
   Slides \& Progs: & KEATS\\
   Pollev: & \texttt{\alert{https://pollev.com/cfltutoratki576}}\\  
@@ -61,6 +61,30 @@
 \end{frame}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 
+\begin{frame}[t,fragile]
+\begin{mybox3}{}
+  In CW2, be careful with the order of defining regular expressions:
+
+\begin{verbatim}
+val COMMENT : Rexp = ... ~ EOL
+val EOL : Rexp = "\r\n" |  "\n"
+\end{verbatim}
+\end{mybox3}
+\end{frame}
+
+
+\begin{frame}[t,fragile]
+\begin{mybox3}{}
+  In CW2, what is the derivative of RECD?
+
+\begin{center}
+\bl{$der\;c\;RECD(l, r) \;\;\dn\;\; ???$}
+\end{center}  
+\end{mybox3}
+\end{frame}
+
+
+
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[c]
@@ -436,13 +460,13 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
 
 
-\begin{frame}[t,fragile]
-\begin{mybox3}{}
-   In CW3, in the collatz program there is the line write "$\backslash$n" Should this print "/n" or perform the new line command /n ? Also should write be print() or println() ?
-\end{mybox3}
-\end{frame}
-
-
+%\begin{frame}[t,fragile]
+%\begin{mybox3}{}
+%   In CW3, in the collatz program there is the line write "$\backslash$n" Should this print "/n" or perform the new line command /n ? Also should write be print() or println() ?
+%\end{mybox3}
+%\end{frame}
+%
+%
 \begin{frame}<1-30>[c]
 \end{frame}