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prob-teaching-notebooks
Commits
18af9653
Commit
18af9653
authored
4 years ago
by
Michael Leuschel
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add Notebook for Turing machine for addition
parent
bb7681bb
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info4/kapitel-5/TuringMaschine.ipynb
+20
-20
20 additions, 20 deletions
info4/kapitel-5/TuringMaschine.ipynb
info4/kapitel-7/TuringMaschineBerechenbarkeit.ipynb
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-0
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info4/kapitel-7/TuringMaschineBerechenbarkeit.ipynb
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and
20 deletions
info4/kapitel-5/TuringMaschine.ipynb
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20
−
20
View file @
18af9653
...
...
@@ -47,34 +47,34 @@
" δ : (States * Alphabet) <-> (States * Alphabet * Direction) &\n",
"\n",
" δ = { /* Neuer Zyklus */\n",
" (z0,a)
|->
(z1,X,R),\n",
" (z0,X)
|->
(z0,X,R),\n",
" (z0,a)
↦
(z1,X,R),\n",
" (z0,X)
↦
(z0,X,R),\n",
" \n",
" /* ein a getilgt (X), nächstes b suchen */\n",
" (z1,a)
|->
(z1,a,R),\n",
" (z1,b)
|->
(z2,X,R),\n",
" (z1,X)
|->
(z1,X,R),\n",
" (z1,a)
↦
(z1,a,R),\n",
" (z1,b)
↦
(z2,X,R),\n",
" (z1,X)
↦
(z1,X,R),\n",
" \n",
" /* ein a,b getilgt (X), nächstes c suchen */\n",
" (z2,b)
|->
(z2,b,R),\n",
" (z2,c)
|->
(z3,X,R),\n",
" (z2,X)
|->
(z2,X,R),\n",
" (z2,b)
↦
(z2,b,R),\n",
" (z2,c)
↦
(z3,X,R),\n",
" (z2,X)
↦
(z2,X,R),\n",
" \n",
" /* ein a,b,c getilgt (X), rechten Rand suchen */\n",
" (z3,c)
|->
(z3,c,R),\n",
" (z3,Blank)
|->
(z4,Blank,L),\n",
" (z3,c)
↦
(z3,c,R),\n",
" (z3,Blank)
↦
(z4,Blank,L),\n",
" \n",
" /* Zurücklaufen und testen ob alle a,b,c getilgt */\n",
" (z4,X)
|->
(z4,X,L),\n",
" (z4,Blank)
|->
(z6,Blank,R), /* Erfolg ! */\n",
" (z4,c)
|->
(z5,c,L), \n",
" (z4,X)
↦
(z4,X,L),\n",
" (z4,Blank)
↦
(z6,Blank,R), /* Erfolg ! */\n",
" (z4,c)
↦
(z5,c,L), \n",
" \n",
" /* Test nicht erfolgreich; zum linken Rand zurücklaufen und neuer Zyklus */\n",
" (z5,X)
|->
(z5,X,L),\n",
" (z5,Blank)
|->
(z0,Blank,R),\n",
" (z5,a)
|->
(z5,a,L),\n",
" (z5,b)
|->
(z5,b,L),\n",
" (z5,c)
|->
(z5,c,L)\n",
" (z5,X)
↦
(z5,X,L),\n",
" (z5,Blank)
↦
(z0,Blank,R),\n",
" (z5,a)
↦
(z5,a,L),\n",
" (z5,b)
↦
(z5,b,L),\n",
" (z5,c)
↦
(z5,c,L)\n",
" } &\n",
" Final = {z6}\n",
"VARIABLES Left,cur,Right\n",
...
...
@@ -86,9 +86,9 @@
" Accept = PRE cur : Final THEN skip END;\n",
" GoTo(z,S,znew,NewSymbol,Dir) =\n",
" PRE z=cur & S=CurSymbol &\n",
" (z, S)
|->
(znew,NewSymbol,Dir) : δ THEN\n",
" (z, S)
↦
(znew,NewSymbol,Dir) : δ THEN\n",
" ANY tail_Right \n",
" WHERE (Right=[]
=>
tail_Right=[]) & (Right/=[]
=>
tail_Right = tail(Right)) THEN\n",
" WHERE (Right=[]
⇒
tail_Right=[]) & (Right/=[]
⇒
tail_Right = tail(Right)) THEN\n",
" cur := znew ||\n",
" IF Dir = N THEN\n",
" Right := NewSymbol -> tail_Right\n",
...
...
%% Cell type:markdown id: tags:
## Turing Maschine
%% Cell type:code id: tags:
```
prob
::load
MACHINE TuringMachine_2
/* B Modell einer 1-band Turing Maschine */
/* by Michael Leuschel, 2012 */
/* Akzeptiert die Sprache a^n b^n c^n (siehe Folien 14ff von folien-kapitel-5 */
SETS
Alphabet={a,b,c,X,Blank};
States = {z0,z1,z2,z3,z4,z5,z6};
Direction = {L,R,N}
DEFINITIONS
Σ == {a,b,c};
Γ == Σ \/ {X};
CurSymbol == (Right<-Blank)(1);
ANIMATION_FUNCTION_DEFAULT == {(1,0,cur)};
/* ANIMATION_FUNCTION__xx == {(1,1,Left), (1,3,Right)}; */
ANIMATION_FUNCTION1 == {1} *( (%i.(i:-size(Left)..-1|i+size(Left)+1) ; Left) \/ Right)
CONSTANTS Final, δ
PROPERTIES
Final <: States &
δ : (States * Alphabet) <-> (States * Alphabet * Direction) &
δ = { /* Neuer Zyklus */
(z0,a)
|->
(z1,X,R),
(z0,X)
|->
(z0,X,R),
(z0,a)
↦
(z1,X,R),
(z0,X)
↦
(z0,X,R),
/* ein a getilgt (X), nächstes b suchen */
(z1,a)
|->
(z1,a,R),
(z1,b)
|->
(z2,X,R),
(z1,X)
|->
(z1,X,R),
(z1,a)
↦
(z1,a,R),
(z1,b)
↦
(z2,X,R),
(z1,X)
↦
(z1,X,R),
/* ein a,b getilgt (X), nächstes c suchen */
(z2,b)
|->
(z2,b,R),
(z2,c)
|->
(z3,X,R),
(z2,X)
|->
(z2,X,R),
(z2,b)
↦
(z2,b,R),
(z2,c)
↦
(z3,X,R),
(z2,X)
↦
(z2,X,R),
/* ein a,b,c getilgt (X), rechten Rand suchen */
(z3,c)
|->
(z3,c,R),
(z3,Blank)
|->
(z4,Blank,L),
(z3,c)
↦
(z3,c,R),
(z3,Blank)
↦
(z4,Blank,L),
/* Zurücklaufen und testen ob alle a,b,c getilgt */
(z4,X)
|->
(z4,X,L),
(z4,Blank)
|->
(z6,Blank,R), /* Erfolg ! */
(z4,c)
|->
(z5,c,L),
(z4,X)
↦
(z4,X,L),
(z4,Blank)
↦
(z6,Blank,R), /* Erfolg ! */
(z4,c)
↦
(z5,c,L),
/* Test nicht erfolgreich; zum linken Rand zurücklaufen und neuer Zyklus */
(z5,X)
|->
(z5,X,L),
(z5,Blank)
|->
(z0,Blank,R),
(z5,a)
|->
(z5,a,L),
(z5,b)
|->
(z5,b,L),
(z5,c)
|->
(z5,c,L)
(z5,X)
↦
(z5,X,L),
(z5,Blank)
↦
(z0,Blank,R),
(z5,a)
↦
(z5,a,L),
(z5,b)
↦
(z5,b,L),
(z5,c)
↦
(z5,c,L)
} &
Final = {z6}
VARIABLES Left,cur,Right
INVARIANT
cur : States &
Left : seq(Alphabet) & Right : seq(Alphabet)
INITIALISATION Left,cur,Right := [],z0,[a,a,b,b,c,c]
OPERATIONS
Accept = PRE cur : Final THEN skip END;
GoTo(z,S,znew,NewSymbol,Dir) =
PRE z=cur & S=CurSymbol &
(z, S)
|->
(znew,NewSymbol,Dir) : δ THEN
(z, S)
↦
(znew,NewSymbol,Dir) : δ THEN
ANY tail_Right
WHERE (Right=[]
=>
tail_Right=[]) & (Right/=[]
=>
tail_Right = tail(Right)) THEN
WHERE (Right=[]
⇒
tail_Right=[]) & (Right/=[]
⇒
tail_Right = tail(Right)) THEN
cur := znew ||
IF Dir = N THEN
Right := NewSymbol -> tail_Right
ELSIF Dir = R THEN
Left,Right := Left <- NewSymbol, tail_Right
ELSIF Left=[] THEN
Left,Right := [], Blank -> (NewSymbol -> tail_Right)
ELSE
Left,Right := front(Left), last(Left) -> (NewSymbol -> tail_Right)
END
END
END
END
```
%% Output
Loaded machine: TuringMachine_2
%% Cell type:code id: tags:
```
prob
:constants
```
%% Output
Machine constants set up using operation 0: $setup_constants()
%% Cell type:code id: tags:
```
prob
:init
```
%% Output
Machine initialised using operation 1: $initialise_machine()
%% Cell type:code id: tags:
```
prob
δ
```
%% Output
$\{(\mathit{z0}\mapsto \mathit{a}\mapsto(\mathit{z1}\mapsto \mathit{X}\mapsto \mathit{R})),(\mathit{z0}\mapsto \mathit{X}\mapsto(\mathit{z0}\mapsto \mathit{X}\mapsto \mathit{R})),(\mathit{z1}\mapsto \mathit{a}\mapsto(\mathit{z1}\mapsto \mathit{a}\mapsto \mathit{R})),(\mathit{z1}\mapsto \mathit{b}\mapsto(\mathit{z2}\mapsto \mathit{X}\mapsto \mathit{R})),(\mathit{z1}\mapsto \mathit{X}\mapsto(\mathit{z1}\mapsto \mathit{X}\mapsto \mathit{R})),(\mathit{z2}\mapsto \mathit{b}\mapsto(\mathit{z2}\mapsto \mathit{b}\mapsto \mathit{R})),(\mathit{z2}\mapsto \mathit{c}\mapsto(\mathit{z3}\mapsto \mathit{X}\mapsto \mathit{R})),(\mathit{z2}\mapsto \mathit{X}\mapsto(\mathit{z2}\mapsto \mathit{X}\mapsto \mathit{R})),(\mathit{z3}\mapsto \mathit{c}\mapsto(\mathit{z3}\mapsto \mathit{c}\mapsto \mathit{R})),(\mathit{z3}\mapsto \mathit{Blank}\mapsto(\mathit{z4}\mapsto \mathit{Blank}\mapsto \mathit{L})),(\mathit{z4}\mapsto \mathit{c}\mapsto(\mathit{z5}\mapsto \mathit{c}\mapsto \mathit{L})),(\mathit{z4}\mapsto \mathit{X}\mapsto(\mathit{z4}\mapsto \mathit{X}\mapsto \mathit{L})),(\mathit{z4}\mapsto \mathit{Blank}\mapsto(\mathit{z6}\mapsto \mathit{Blank}\mapsto \mathit{R})),(\mathit{z5}\mapsto \mathit{a}\mapsto(\mathit{z5}\mapsto \mathit{a}\mapsto \mathit{L})),(\mathit{z5}\mapsto \mathit{b}\mapsto(\mathit{z5}\mapsto \mathit{b}\mapsto \mathit{L})),(\mathit{z5}\mapsto \mathit{c}\mapsto(\mathit{z5}\mapsto \mathit{c}\mapsto \mathit{L})),(\mathit{z5}\mapsto \mathit{X}\mapsto(\mathit{z5}\mapsto \mathit{X}\mapsto \mathit{L})),(\mathit{z5}\mapsto \mathit{Blank}\mapsto(\mathit{z0}\mapsto \mathit{Blank}\mapsto \mathit{R}))\}$
{(z0↦a↦(z1↦X↦R)),(z0↦X↦(z0↦X↦R)),(z1↦a↦(z1↦a↦R)),(z1↦b↦(z2↦X↦R)),(z1↦X↦(z1↦X↦R)),(z2↦b↦(z2↦b↦R)),(z2↦c↦(z3↦X↦R)),(z2↦X↦(z2↦X↦R)),(z3↦c↦(z3↦c↦R)),(z3↦Blank↦(z4↦Blank↦L)),(z4↦c↦(z5↦c↦L)),(z4↦X↦(z4↦X↦L)),(z4↦Blank↦(z6↦Blank↦R)),(z5↦a↦(z5↦a↦L)),(z5↦b↦(z5↦b↦L)),(z5↦c↦(z5↦c↦L)),(z5↦X↦(z5↦X↦L)),(z5↦Blank↦(z0↦Blank↦R))}
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">z0</td>
<td style="padding:10px">a</td>
<td style="padding:10px">a</td>
<td style="padding:10px">b</td>
<td style="padding:10px">b</td>
<td style="padding:10px">c</td>
<td style="padding:10px">c</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:browse
```
%% Output
Machine: TuringMachine_2
Sets: Alphabet, States, Direction
Constants: Final, δ
Variables: Left, cur, Right
Operations:
GoTo(z0,a,z1,X,R)
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z0,a,z1,X,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">z1</td>
<td style="padding:10px">a</td>
<td style="padding:10px">b</td>
<td style="padding:10px">b</td>
<td style="padding:10px">c</td>
<td style="padding:10px">c</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z1,a,z1,a,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">z1</td>
<td style="padding:10px">b</td>
<td style="padding:10px">b</td>
<td style="padding:10px">c</td>
<td style="padding:10px">c</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z1,b,z2,X,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z2</td>
<td style="padding:10px">b</td>
<td style="padding:10px">c</td>
<td style="padding:10px">c</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z2,b,z2,b,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">z2</td>
<td style="padding:10px">c</td>
<td style="padding:10px">c</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z2,c,z3,X,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z3</td>
<td style="padding:10px">c</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z3,c,z3,c,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">z3</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z3,Blank,z4,Blank,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z4</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z4,c,z5,c,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">z5</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z5,X,z5,X,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z5</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z5,b,z5,b,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">z5</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z5,X,z5,X,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">X</td>
<td style="padding:10px">z5</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z5,a,z5,a,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">z5</td>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z5,X,z5,X,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">z5</td>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z5,Blank,z0,Blank,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">z0</td>
<td style="padding:10px">X</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z0,X,z0,X,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z0</td>
<td style="padding:10px">a</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z0,a,z1,X,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z1</td>
<td style="padding:10px">X</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z1,X,z1,X,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z1</td>
<td style="padding:10px">b</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z1,b,z2,X,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z2</td>
<td style="padding:10px">X</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z2,X,z2,X,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z2</td>
<td style="padding:10px">c</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z2,c,z3,X,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z3</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z3,Blank,z4,Blank,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z4</td>
<td style="padding:10px">X</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z4,X,z4,X,L)
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z4,X,z4,X,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z4</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z4,X,z4,X,L)
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z4,X,z4,X,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">z4</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z4,X,z4,X,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">z4</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z4,X,z4,X,L)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">z4</td>
<td style="padding:10px">Blank</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:exec GoTo
```
%% Output
Executed operation: GoTo(z4,Blank,z6,Blank,R)
%% Cell type:code id: tags:
```
prob
:show
```
%% Output
<table style="font-family:monospace"><tbody>
<tr>
<td style="padding:10px">Blank</td>
<td style="padding:10px">z6</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">X</td>
<td style="padding:10px">Blank</td>
</tr>
</tbody></table>
<Animation function visualisation>
%% Cell type:code id: tags:
```
prob
:browse
```
%% Output
Machine: TuringMachine_2
Sets: Alphabet, States, Direction
Constants: Final, δ
Variables: Left, cur, Right
Operations:
Accept()
%% Cell type:code id: tags:
```
prob
:exec Accept
```
%% Output
Executed operation: Accept()
%% Cell type:code id: tags:
```
prob
```
...
...
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