Posted on Categories:Mathematical logic, 数学代写, 数理逻辑

# 数学代写|数理逻辑入门代写Introduction To Mathematical logic代考|MATH4810 Universal TURING MACHINE

avatest™

## avatest™帮您通过考试

avatest™的各个学科专家已帮了学生顺利通过达上千场考试。我们保证您快速准时完成各时长和类型的考试，包括in class、take home、online、proctor。写手整理各样的资源来或按照您学校的资料教您，创造模拟试题，提供所有的问题例子，以保证您在真实考试中取得的通过率是85%以上。如果您有即将到来的每周、季考、期中或期末考试，我们都能帮助您！

•最快12小时交付

•200+ 英语母语导师

•70分以下全额退款

## 数学代写|数理逻辑入门代写Introduction To Mathematical logic代考|Universal TURING MACHINE

Informally, we might say that one Turing machine $M^{\prime}$ simulates another one $M$ if $M^{\prime}$ is able to perform all the computations which can be performed by $M$ or, more precisely, if any input $w$ for $M$ can be represented as an input $w^{\prime}$ for $M^{\prime}$ and the result $M^{\prime}\left(w^{\prime}\right)$ represents the result $M(w)$.

This may happen in various ways, the most trivial one being the case when $M^{\prime}$ is strictly more powerful than $M$. If $M$ is a multiplication machine (returning $n * m$ for any two natural numbers), while $M^{\prime}$ can do both multiplication and addition, then augmenting the input $w$ for $M$ with the indication of multiplication, we can use $M^{\prime}$ to do the same thing as $M$ would do. Another possibility might be some encoding of the instructions of $M$ in such a way that $M^{\prime}$, using this encoding as a part of its input, can act as if it was $M$. This is what happens in a computer since a computer program is a description of an algorithm, while an algorithm is just a mechanical procedure for performing computations of some specific type – i.e., it is a Turing machine. A program in a high level language is a Turing machine $M$ – compiling it into a machine code amounts to constructing a machine $M^{\prime}$ which can simulate $M$. Execution of $M(w)$ proceeds by representing the high level input $w$ as an input $w^{\prime}$ acceptable for $M^{\prime}$, running $M^{\prime}\left(w^{\prime}\right)$ and converting the result back to the high level representation.

We won’t define formally the notions of representation and simulation, relying instead on their intuitive understanding and the example of a Universal Turing machine, UTM, we will present. Such a machine is a Turing machine which can simulate any other Turing machine. It is a conceptual prototype and paradigm of the programmable computers as we know them.

## 数学代写|数理逻辑入门代写Introduction To Mathematical logic代考|A possible coding of TMs.

(1) Get the set of instructions from the description of a TM $M=$ $\left\langle K, \Sigma, q_1, \tau\right\rangle$.
(2) Each instruction $t \in \tau$ is a four-tuple
$$t:\left\langle q_i, a\right\rangle \mapsto\left\langle q_j, b\right\rangle$$
where $q_i, q_j \in K, a$ is # or $$, and b \in \Sigma \cup{\mathrm{L}, \mathrm{R}}. We assume that states are numbered from 1 up to n>0. Represent t as C_t : i.e., first i S-symbols representing the current state q_i, then the read symbol a, so the action b – either the symbol to be written or \mathrm{R}, \mathrm{L}- and finally j N-symbols for the resulting state q_j. (3) String the representations of all the instructions, with no extra spaces, in increasing order of state numbers. If for a state i there are two instructions, t_i^{#} for input symbol # and t_i^ for input symbol , put t_i^ before t_i^{#}. (4) Put the “end” symbol ‘(‘ to the left:$$
\begin{array}{c|l|l|l|l}
\left(C_{t_1}\right. & C_{t_2} & \cdots & C_{t_2} & \text { current state } \cdots \
\hline
\end{array}
$$## 数理逻辑入门代写 ## 数学代写数理逻辑入门代写Introduction To Mathematical logic代考|Universal TURING MACHINE w 为了 M 可以表示为输入 w^{\prime} 为了 M^{\prime} 和结果 M^{\prime}\left(w^{\prime}\right) 代表结果 M(w). 这可能以多种方式发生，最訬不足道的一种情况是 M^{\prime} 严格来说比 M. 如果 M 是一个乘法机 (返回 n * m 对于佳意两个自然数)， 某些指令的扁码 M 以这样的方式 M^{\prime} ，使用这种编码作为其输入的一部分，就像它是 M. 这就是在计算机中发生的事情， 因为 M^{\prime}\left(w^{\prime}\right) 并将结果转换回高级表示。 任何其他图灵机的图灵机。它是我们所知道的可编程计算机的概念原型和范例。 ## 数学代写数理逻辑入门代写Introduction To Mathematical logic代考|A possible coding of TMs. (1) 从 \mathrm{TM} 的描述中获取指令焦 M=\left\langle K, \Sigma, q_1, \tau\right\rangle. (2) 每条指令 t \in \tau 是一个四元组$$
t:\left\langle q_i, a\right\rangle \mapsto\left\langle q_j, b\right\rangle


(4) 将“结束”符昊’ (‘ 放在左边:

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。