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Презентация на тему Kinds of algorithmic systems

Plan of lecture1. Post machine.2. Turing machine.3. Algorithmically solvable and unsolvable problems.4. Markov system.
Lecture №2Kinds of algorithmic systems Plan of lecture1. Post machine.2. Turing machine.3. Algorithmically solvable and unsolvable problems.4. Markov system. Keywords 1.Post machine 1.Post machineThe instructions, which consist of algorithm, belong to one of 6 1.Post machine4. To move an active cell on the one step to 1.Post machine 1.Post machineThe work of Post machine is the execution of directions (instructions) 1.Post machineTheorem. The class of all algorithms, which are equivalent to the 2. Turing machineTuring machine consists of:– The tape , which 2. Turing machine 2. Turing machine 2. Turing machine 2. Turing machineTuring machine is stopped if and only when it is 4. Markov Algorithmic System 4. Markov Algorithmic System 4. Markov Algorithmic System Thank you for your attention!!! HometaskTo work out the material of the lecture.
Слайды презентации

Слайд 2 Plan of lecture
1. Post machine.
2. Turing machine.
3. Algorithmically

Plan of lecture1. Post machine.2. Turing machine.3. Algorithmically solvable and unsolvable problems.4. Markov system.

solvable and unsolvable problems.
4. Markov system.


Слайд 3 Keywords

Keywords

Слайд 4 1.Post machine

1.Post machine

Слайд 5 1.Post machine

The instructions, which consist of algorithm, belong

1.Post machineThe instructions, which consist of algorithm, belong to one of

to one of 6 types.

1. To mark the active

cell (to write down 1 in it) and to pass to the execution of the ith instruction.

2. To erase the mark of the active cell (to write down 0 in it) and to pass to the execution of the jth instruction.

3. To move an active cell to one step to the right and to pass to the execution of the ith instruction.



Слайд 6 1.Post machine
4. To move an active cell on

1.Post machine4. To move an active cell on the one step

the one step to the left and to pass

to the execution of the ith instruction.

5. If an active cell is marked (there is 1 in it), then to pass to the execution of the jth instruction, otherwise you should pass to the execution of the ith instruction.

6. Stop and the end of the algorithm’s work.

Слайд 7 1.Post machine

1.Post machine

Слайд 8 1.Post machine
The work of Post machine is the

1.Post machineThe work of Post machine is the execution of directions

execution of directions (instructions) of algorithm function of Post’s

machine.
Machine is stopped if and only when the last instruction, done by the machine, is the instruction of the 6th type and the result of its work is the word q, which is written on the tape and which is called the final one.


Слайд 9 1.Post machine

Theorem. The class of all algorithms, which

1.Post machineTheorem. The class of all algorithms, which are equivalent to

are equivalent to the Post algorithms, coincides with the

class of all partial recursive functions.

Слайд 10 2. Turing machine
Turing machine consists of:
– The

2. Turing machineTuring machine consists of:– The tape , which

tape , which is divided into cells, one next

to the other. Each cell contains a symbol from some finite alphabet. Every sell is used for the record of only one symbol, which can be looked about by the head.
– The head that can read and write symbols on the tape and move the tape to the left and to the right only to one cell.

Слайд 11 2. Turing machine

2. Turing machine

Слайд 12 2. Turing machine

2. Turing machine

Слайд 13 2. Turing machine

2. Turing machine

Слайд 14 2. Turing machine
Turing machine is stopped if and

2. Turing machineTuring machine is stopped if and only when it

only when it is impossible to use any command

of its program.

The result of Turing machine work after its stop is the word, which is written on the tape.


Слайд 15 4. Markov Algorithmic System

4. Markov Algorithmic System

Слайд 16 4. Markov Algorithmic System

4. Markov Algorithmic System

Слайд 17 4. Markov Algorithmic System

4. Markov Algorithmic System

Слайд 18 Thank you for your attention!!!

Thank you for your attention!!!

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