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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD><TITLE>Instituto de Computaci=F3n - Curso de Programaci=F3n =
1 - Pr=E1ctico 1</TITLE>
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<CENTER><FONT size=3D+2>Instituto de Computaci=F3n<BR>Curso de =
Programaci=F3n 1 -=20
Pr=E1ctico 0</FONT></CENTER>
<OL type=3D1><!-- <li>
    <p> Enuncie las definiciones de "tira" y "lenguaje" vista en el
te&oacute;rico.</p>
  </li>
  <li> Indique si los siguientes lenguajes estan definidos por
comprensi&oacute;n o por extensi&oacute;n:
    <ol type=3D"a">
      <li>L<sub>1</sub> =3D {a,b,c}</li>
      <li>L<sub>2</sub> =3D {0,1}</li>
      <li>L<sub>3</sub> =3D {x / (x pertenece L<small>1</small>) o (x
pertenece a L<sub>2</sub>)}</li>
      <li>L<sub>4</sub> =3D {xy / (x pertenece a L<sub>1</sub>) y (y
pertenece a L<sub>2</sub>)} </li>
    </ol>
Nota: L<sub>3</sub> es la uni&oacute;n de L<sub>1</sub> y L<sub>2</sub>,
y L<sub>4</sub> es la concatencaci&oacute;n de L<sub>1</sub> y =
L<sub>2</sub>.
</li>-->
  <LI>
  <P>Describir por extensi=F3n los siguientes lenguajes:</P>
  <UL>
    <LI>
    <P>La =3D los d=EDgitos</P>
    <LI>
    <P>Lb =3D las letras de su nombre de pila</P>
    <LI>
    <P>Lc =3D los nombres de pila de 5 compa=F1eros de clase</P>
    <LI>
    <P>Ld =3D la conjugaciones en presente de la tercera persona de los =
verbos:=20
    saltar, caminar, bailar</P>
    <LI>Le =3D la concatenaci=F3n de Lc con Ld; donde la concatenaci=F3n =
de=20
    L<SUB>1</SUB> con L<SUB>2</SUB> =3D {xy / (x pertenece a =
L<SUB>1</SUB>) y (y=20
    pertenece a L<SUB>2</SUB>)} </LI></UL><BR>
  <LI>
  <P>Dada la siguiente tabla:</P>
  <P>
  <TABLE align=3Dcenter border=3D1>
    <TBODY>
    <TR>
      <TH><BR></TH>
      <TH>f=3D{0|1}1.</TH>
      <TH>f=3D[0|1]{0|1}.</TH>
      <TH>f=3D[0]{10}[1].</TH>
      <TH>f=3D[1]({0}|1).</TH>
      <TH>f=3D[01|10|{0}].</TH>
      <TH>f=3D{0|1}1{0}.</TH></TR>
    <TR>
      <TH>0</TH>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD style=3D"VERTICAL-ALIGN: top"><BR></TD></TR>
    <TR>
      <TH>01</TH>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD style=3D"VERTICAL-ALIGN: top"><BR></TD></TR>
    <TR>
      <TH>1101</TH>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD style=3D"VERTICAL-ALIGN: top"><BR></TD></TR>
    <TR>
      <TH>010<BR></TH>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD style=3D"VERTICAL-ALIGN: top"><BR></TD></TR>
    <TR>
      <TH>&lt;nula&gt;<BR></TH>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD style=3D"VERTICAL-ALIGN: top"><BR></TD></TR>
    <TR>
      <TH>010101<BR></TH>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD><BR></TD>
      <TD style=3D"VERTICAL-ALIGN: =
top"><BR></TD></TR></TBODY></TABLE></P>
  <OL type=3Da>
    <LI>
    <P>Indicar en cada casilla si la tira pertenece al lenguaje definido =
por la=20
    EBNF.</P>
    <LI>
    <P>Escribir para cada lenguaje definido por las EBNF de la tabla, 2 =
tiras de=20
    largo mayor a 5, que contenga al menos un 1, y que pertenezcan al =
lenguaje.=20
    Si no existe explique con sus palabras por qu=E9.</P>
    <LI>
    <P>Escribir los diagramas sint=E1cticos =
correspondientes.</P></LI></OL><BR>
  <LI>
  <P>Escribir los diagramas sint=E1cticos y las EBNF correspondientes a =
los=20
  siguientes lenguajes:</P>
  <OL type=3Da>
    <LI>
    <P>Tiras definidas sobre el vocabulario =3D {0,1} que contienen la =
tira 000=20
    y/o la tira 111.</P>
    <LI>
    <P>Tiras definidas sobre el vocabulario =3D {0,1} que a lo sumo =
tiene dos=20
    1's.</P>
    <LI>
    <P>Tiras definidas sobre el vocabulario =3D {0,1} con numero par de =
0's.</P1>=20
    </P>
    <LI>
    <P>Las CI's incluyendo los dos '.' y el '-'. Por ejemplo: =
1.456.987-3</P>
    <LI>
    <P>Los n=FAmeros de tel=E9fono celulares incluyendo un '-', un ' ', =
o nada como=20
    separador de los primeros 3 d=EDgitos, los cuales solo pueden ser: =
099, 096 o=20
    094. Por ejemplo: 099-123456, 096 654321 o 094123456.</P>
    <LI>
    <P>Las direcciones de correo electr=F3nico con dominio en Uruguay. =
Asuma que=20
    el dominio UY est=E1 dividido en los sub-dominios: edu.uy, org.uy, =
com.uy,=20
    net.uy, gub.uy y mil.uy. Cada organizaci=F3n puede dividir su =
dominio en=20
    tantos sub-dominios como desee y cuantas veces desee. Solo se pueden =
usar=20
    letras y d=EDgitos aparte de los caracteres reservados '@' y =
'.'.<BR>Ejemplos=20
    de direcciones v=E1lidas: jperez@seccS.dptoD.areaA.emprE.com.uy y=20
    tito22@org22.org.uy.<BR>Ejemplos de direcciones <B>no</B> v=E1lidas: =

    estudioso@edu.uy, yoruga@uy, anonimo@.com.uy y anonimo2@..com.uy no =
ser=EDan=20
    v=E1lidas.</P>
    <LI>
    <P>=CDdem al anterior, pero para los dominios que se usan en todo el =

    mundo.<BR>Para simplificar asuma que:<BR>- en todos los pa=EDses se =
divide en=20
    los mismos sub-dominios, <BR>- los c=F3digos de los pa=EDses son =
cualquier par=20
    de letra (no importa que no exista),<BR>- y que por razones =
hist=F3oricas=20
    existen dominios sin c=F3digo de pa=EDs. Asuma que son los mismos, =
es decir:=20
    edu, org, com, net, gub y mil.</P></LI></OL><BR>
  <LI>
  <P>Describir en lenguaje natural los siguientes lenguajes:</P>
  <UL>
    <LI>
    <P>f1 =3D 0{11}0.</P>
    <LI>
    <P>f2 =3D {0|100}.</P>
    <LI>
    <P>f3 =3D {01}|{10}.</P></LI></UL><BR>
  <LI>
  <P>Dado el siguiente diagrama sint=E1ctico:</P>
  <P><IMG alt=3D""=20
  =
src=3D"http://www.fing.edu.uy/inco/cursos/prog1/pm/uploads/Materiales/exp=
resionEntera.jpg"=20
  align=3Dbottom border=3D0 f>
  <P>
  <P><IMG alt=3D""=20
  =
src=3D"http://www.fing.edu.uy/inco/cursos/prog1/pm/uploads/Materiales/exp=
resionEnteraSimple.jpg"=20
  align=3Dbottom border=3D0 f>
  <P>
  <P><IMG alt=3D""=20
  =
src=3D"http://www.fing.edu.uy/inco/cursos/prog1/pm/uploads/Materiales/ter=
minoEntero.jpg"=20
  align=3Dbottom border=3D0 f>
  <P>
  <P><IMG alt=3D""=20
  =
src=3D"http://www.fing.edu.uy/inco/cursos/prog1/pm/uploads/Materiales/fac=
torEntero.jpg"=20
  align=3Dbottom border=3D0 f>
  <P>
  <P><IMG alt=3D""=20
  =
src=3D"http://www.fing.edu.uy/inco/cursos/prog1/pm/uploads/Materiales/ent=
eroSinSigno.jpg"=20
  align=3Dbottom border=3D0 f>
  <P><!--
<ol type=3D"1">
<li>
<pre class=3D"programlisting">=20
Expr1 o--+---[Expr1]--(+)--[Expr1]--+--o
         |                          |
         +---[Expr1]--(*)--[Expr1]--+
         |                          |
         +---------[entero]---------+


entero  o---+--[d=EDgito]--+---o
            |            |=20
            +-----<------+=20
</pre>--><!--
</li>
<br>
<li>
  <pre class=3D"programlisting">
Expr2 o--+----[Suma]----+--o
         |              |
         +----[Prod]----+
         |              |
         +---[entero]---+


Suma o--+--[entero]--(+)--[entero]--+--o
        |                           |
        +--[entero]--(+)---[Prod]---+
        |                           |
        +--[entero]--(+)---[Suma]---+


Prod o--+--[entero]--(*)--[entero]--+--o
        |                           |
        +--[entero]--(*)---[Prod]---+


entero  o---+--[d=EDgito]--+---o
            |            |=20
            +-----<------+=20
</pre>--><!--</li>
</ol>
donde a [digito] le corresponde el diagrama visto en el te=F3rico.
-->
  <OL type=3Da>
    <LI>
    <P>Indicar si las siguientes tiras pertenecen al lenguaje de las=20
    "expresiones enteras" definidas por los diagramas<BR>
    <UL>
      <LI>2=20
      <LI>-3=20
      <LI>2+2=3D3=20
      <LI>2*(2+3)&gt;=3D3=20
      <LI>14*9*=20
      <LI>()=20
      <LI>((23))=20
      <LI>--2=20
      <LI>1+2*3-4&lt;&gt;1000=20
      <LI>2=3D=3D3=20
      <LI>4**5=20
      <LI>(34+20)*2&gt;=3D3=20
      <LI>(34+20)*2&lt;=3D3=20
      <LI>(2=3D2)=3D(3=3D3) </LI></UL>
    <LI>
    <P>Escribir las EBNF correspondientes a los =
diagramas.</P></LI></OL><BR>
  <LI>
  <P>Dada la siguiente EBNF que representa un subconjunto del lenguje =
HTML:</P><PRE>pagina =3D '&lt;HTML&gt;' [cabezal] cuerpo '&lt;/HTML&gt;'

cabezal =3D '&lt;HEAD&gt;' titulo '&lt;/HEAD&gt;'

titulo =3D '&lt;TITLE&gt;' textoSimple '&lt;/TITLE&gt;'

cuerpo =3D '&lt;BODY&gt;' textoConMarcas '&lt;/BODY&gt;'

textoConMarcas =3D { textoSimple | textoEnNegrita | listaOrdenada }

textoEnNegrita =3D '&lt;B&gt;' textoSimple '&lt;/B&gt;'

listaOrdenada =3D '&lt;OL&gt;' item {item} '&lt;/OL&gt;'

item =3D '&lt;LI&gt;' textoConMarcas '&lt;/LI&gt;'

textoSimple =3D {'A'|'B'| .. |'Z'|
               'a'|'b'| .. |'z'|
               '0'|'1'| .. |'9'|
	       ' '|','|'.'}
</PRE>
  <OL type=3Da>
    <LI>
    <P>Indicar si las siguientes tiras pertenecen al lenguaje definido =
por las=20
    EBNF anteriores.</P>
    <OL type=3D1>
      <LI>
      <P>&lt;HTML&gt;Hola mundo&lt;/HTML&gt; </P>
      <LI>
      <P>&lt;HTML&gt;&lt;HEAD&gt;Hola mundo&lt;/BODY&gt;&lt;/HTML&gt; =
</P>
      <LI>
      <P>&lt;HTML&gt;&lt;BODY&gt;Hola=20
      mundo&lt;/BODY&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;/HTML&gt; </P>
      <LI>
      <P>&lt;HTML&gt;<BR>&lt;BODY&gt;Hola=20
      =
mundo&lt;/BODY&gt;<BR>&lt;HEAD&gt;&lt;TITLE&gt;Titulo&lt;/TITLE&gt;&lt;/H=
EAD&gt;<BR>&lt;/HTML&gt;=20
      </P>
      <LI>
      <P>&lt;HTML&gt;&lt;BODY&gt;<BR>Hola=20
      &lt;B&gt;mundo&lt;/B&gt;<BR>&lt;/BODY&gt;&lt;/HTML&gt; </P>
      <LI>
      =
<P>&lt;HTML&gt;<BR>&lt;HEAD&gt;&lt;TITLE&gt;&lt;B&gt;Titulon&lt;/B&gt;&lt=
;/TITLE&gt;&lt;/HEAD&gt;<BR>&lt;BODY&gt;&lt;B&gt;Hola=20
      mundo&lt;/B&gt;&lt;/BODY&gt;<BR>&lt;/HTML&gt; </P>
      <LI>
      <P>&lt;HTML&gt;&lt;BODY&gt;<BR>&lt;OL&gt;<BR>&lt;B&gt;Elemento=20
      1&lt;/B&gt;<BR>&lt;B&gt;Elemento=20
      2&lt;/B&gt;<BR>&lt;/OL&gt;<BR>&lt;/BODY&gt;&lt;/HTML&gt; </P>
      <LI>
      =
<P>&lt;HTML&gt;&lt;BODY&gt;<BR>&lt;OL&gt;<BR>&lt;/OL&gt;<BR>&lt;/BODY&gt;=
&lt;/HTML&gt;=20
      </P>
      <LI>
      =
<P>&lt;HTML&gt;&lt;BODY&gt;<BR>&lt;OL&gt;<BR>&lt;LI&gt;&lt;/LI&gt;<BR>&lt=
;/OL&gt;<BR>&lt;/BODY&gt;&lt;/HTML&gt;<BR></P>
      <LI>
      <P>&lt;HTML&gt;&lt;BODY&gt;<BR>Ho&lt;B&gt;la&lt;/B&gt;=20
      mun&lt;B&gt;do&lt;/B&gt;<BR>&lt;OL&gt;<BR>&lt;LI&gt;Elemento=20
      =
&lt;B&gt;1&lt;/B&gt;&lt;/LI&gt;<BR>&lt;LI&gt;&lt;B&gt;Elemento&lt;/B&gt; =

      2&lt;/LI&gt;<BR>&lt;/OL&gt;<BR>&lt;/BODY&gt;&lt;/HTML&gt; =
</P></LI></OL>
    <LI>
    <P>Construir los diagramas sint=E1cticos =
correspondientes.</P></LI></OL>
  <P>Nota: para probar como se ven las tiras de la primer parte, guarde =
cada una=20
  en un archivo distinto con la extensi=F3n ".html" y abra las con un =
navegador.=20
  Tenga presente que la sintaxis usada por los navegadores no =
corresponde con la=20
  presentada en este ejercicio. Eventualmente tiras que son o no =
v=E1lidas para=20
  este lenguaje, pueden ser o no v=E1lidas para su =
navegador.</P></LI></OL><BR>
<HR SIZE=3D5>

<CENTER><SUP><SUP><FONT face=3D"Courier new"><FONT size=3D-1>In.Co. - =
Curso de=20
Programaci=F3n 1</FONT></FONT></SUP></SUP></CENTER></BODY></HTML>

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