Unidad 3: Fase 4 - Debatir y desarrollar los ejercicios planteados sobre Máquinas de Turing
GRUPO 301405_42 TUTOR HELENA CLARA ISABEL ALEMAN
UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA UNAD ESCUELA DE CIENCIAS BÁSICAS, TECNOLOGÍA E INGENIERÍA NOVIMBRE 2017
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INTRODUCCIÓN Los autómatas vienen a ser mecanismos formales que realizan de rivaciones en gramáticas formales. El presente trabajo se realiza con el fin d e realizar los ejercicios planteados en la fase 4 aplicando los fundamentos expuestos en el entorno de aprendizaje con la finalidad de profundizar en los temas propuestos en la unidad y así evidenciar la enseñanza que nos deja el módulo.
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DESARROLLO ACTIVIDAD COLABORATIVA FASE 4 Ejercicio 1: Diseñe una MT que se comporte como reconocedor que su lenguaje sea {a,b} que acepte cadenas que empiecen y terminen en el mismo símbolo.
1. Identifique los componentes de la Máquina de Turing (descríbala). Conjunto Finito de Estados: q0, q1, q2, q3, q4, q5 Alfabeto de Entrada: a, b Alfabeto de la cinta: a, b, Estado Inicial: q0 Estado Final:q1
, R, L, L, S (Incluye el símbolo Blanco) Blanco)
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Vamos a ingresar la siguiente cadena valida
aba
Comenzando en el estado inicial q0
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Con la primera transición que es “a” llegamos a q2
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Con “b” Llegamos a q4
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Con “a” nuevamente llegamos a q2
Con el carácter “Blanco” llegamos a q1 que es el estado final de aceptación
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Comenzamos en q0
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Con “a” Llegamos a q5
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5. Lo que acaba de diseñar es una MUT o una MT. Justifique su respuesta. El diseño corresponde a una maquina Universal de Turing MUT ya que está diseñada para para procesar cualquier información.
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Ejercicio 2: Teniendo en cuenta la siguiente tabla de transición de una máquina de Mealy, realice: f
Entrada
Estado q0 q1 q2 q3
0
1
q1 q3 q1 q2
q0 q0 q2 q1
G
Entrada
Estado q0 q1 q2 q3
0 1 1 0 0
1 0 1 1 0
1. Identifique los componentes de la Máquina (descríbala). S=conjunto finito de estado {q0,q1,q2,q3} S0=estado inicial {q0} ∑=alfabeto de entrada {q0, q1, q2, q3} Λ=alfabeto de salida {0,1} T=conjunto de transición tra 0 0 q0 q1 1 q1 q3 1
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q1 q2 q3
q3 q1 q2
posibles estados q0 q11 q00 q31 q10 q01 q21 q20 maquina moore
1 q0 0 q2 0 q1
1 1 0
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q20
q10
0
q21
q10
0
q31
q20
0
q20
q21
1
q21
q21
1
q31
q10
0
5. Explique cinco características de la Máquina de Mealy y encuentre cinco
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Salida depende tanto de la situación y de entrada actual.
De salida sólo depende de la situación actual.
En general, tiene menos estados que la máquina de Moore.
Por lo general, tiene más estados que la máquina de Mealy.
La salida cambia en los flancos de reloj.
cambio de entrada puede causar un cambio en el cambio de salida tan pronto como se hace la lógica.
Máquina de Mealy reaccionan más rápido a las entradas.
En las máquinas de Moore, se necesita n ecesita más lógica para descodificar las salidas ya que cuenta con más retrasos de circuito.
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codificados 2, 5 y 8 con distancia de haming.
1.
Determine cuál fue el dato de entrada. (Complete la tabla)
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BIBLIOGRAFÍA
Carrasco, R., Calera, R., Forcada, M. (2016 ). Teoría De Lenguajes, Gramáticas Y Autómatas Para Informáticos. Recuperado de: http://bibliotecavirtual.unad.edu.co:2051/login.aspx?direct=true&db=nlebk&AN=318032 &lang=es&site=eds-live&ebv=EB&ppid=pp_Cover