From a university student to a chief academician

Chapter 36 Turing Equivalence Proves Success
On February 2023, 2, the computing power laboratory!
"If the definition domain of the fuzzy Zadeh operator is expanded, the fuzzy max-min operator can be redefined to satisfy commutative law, associative law and zero-element law."

Ye Fei frowned and looked at the paper full of formulas in front of him in thought: "You can find Turing's equivalence."

Now they have worked on the last step, and they have been working on the last step for a week.

After many failures, Ye Fei thought of using fuzzy operators, neural networks and recursive functions to find Turing equivalence yesterday.

Because Turing equivalence has not been proved yet, but fuzzy maximin operator neuron network has been proved.

The computing power of the fuzzy maximin neuron network is similar to that of a Turing machine.

Therefore, the Turing machine can be replaced by the fuzzy maxima neuron network, and the Turing equivalence can be obtained.

Now the key is how to replace.

"Professor Zhou, come, let's use the Godel-Kleen partial recursive function to prove it."

"it is good!"

At this point in the research, Professor Zhou felt that he could no longer keep up with Ye Fei's train of thought, and he would do whatever Ye Fei said.

At this moment, he is just a robot, carrying out all the orders given by Ye Fei without emotion.

The longer he stayed with Ye Fei, the more he discovered Ye Fei's genius.

And he is just a waste who only knows how to execute orders.

Yes, with Ye Fei, you don't have any thoughts, just treat yourself as a waste.

If you have thoughts, you will eventually find that you are still useless in the end.

That being the case, it is better to treat yourself as a waste from the beginning.

Anyway, the topic will be researched in the end, just wait patiently to enjoy the results.

Professor Zhou will not be like Ye Fei's mentor Lu Yishan, who will reflect on why he is a waste.

But Professor Zhou would not, he completely treats himself as a waste.

Lu Yishan will be sad because he can't play a big role in the project, but Professor Zhou will not.

Since it won't be of much use, follow Ye Fei's order and complete the project with your thighs hugged.

Lu Yishan would not want to cooperate with Ye Fei because he is too talented.

Professor Zhou can't, the more talented the better, the more talented I have to hold my thighs tighter and cooperate more.

He also thought that after Turing's equivalence was proved, the next time the two would cooperate again.

Five p.m!

[Turing equivalent task completed (100%)
Reward: 100 points]

"Huh..." Ye Fei took a long breath, looked at Professor Zhou beside him, and said with a smile, "Professor Zhou, we succeeded."

"Ah..." Professor Zhou asked as if waking up from a dream, "Did it work?"

"En!" Ye Fei nodded: "Successful, look at this step."

As he spoke, Ye Fei pointed to a formula on the paper.

"When the equality judgment function and the Boolean selection function are combined, the fuzzy maxima neuron network can replace the Turing machine, which proves Turing equivalence."

Ye Fei smiled and said, "I will leave the finishing work to you."

The following is the calculation. After being reminded by the system, he knew that his proof was successful.

But checking is a procedure that must be followed after every proof, so he entrusted this task to Professor Zhou.

"No problem!" Professor Zhou laughed.

Most of the Turing equivalent work is done by Ye Fei, so, in order to keep his thighs tight, Professor Zhou will do the rest of the work.

"Do you want to be the corresponding author of the paper?" Ye Fei asked.

After every difficult problem is proved, a paper must be written. Ye Fei did not ask Professor Zhou who would write the paper.

Whoever writes a thesis does not mean to take painstaking effort.

But the person who writes the paper must be the first author of the paper, the first author is the most important in the paper, and Ye Fei will not give up this position.

Although a work can have multiple people at the same time, it must be that the contributions of multiple people in the paper are equal before there can be multiple people.

However, most of the credit for the subject research belongs to Ye Fei, so the first work can only be done by Ye Fei.

Even if Professor Zhou was asked to write it, he couldn't write it.

Because many problems in the project were solved by Ye Fei, and some problems have not been understood by Professor Zhou so far.

"No!" Professor Zhou didn't feel that he played a big role in this project, and he was embarrassed to be the corresponding author.

Although the corresponding author is a little inferior to the first author, he holds the copyright of the paper.

Moreover, if he occupies the position of corresponding author, in the eyes of outsiders, he is the one who guides Ye Fei to write the paper.

He was really embarrassed to say that he was guiding Ye Fei, but Ye Fei was guiding him.

Besides, if he really took such a big advantage and annoyed Ye Fei, the two of them would never have a chance to cooperate next time.

The scientific method of hugging the thigh needs to control the scale.

Some advantages can be taken advantage of, and some advantages cannot be taken advantage of.

Ye Fei nodded, without refusing, and said: "Then you should be the second one!"

"Okay!" Professor Zhou nodded: "After checking the calculation, I will send you the complete proof process."

When doing the project, all the supporting materials are a bit messy and need to be sorted out afterwards.

In the process of checking and calculating, the data can just be sorted out.

There is a complete proof process in it.

"Good!" Ye Fei said.

The division of labor has been clarified, Professor Zhou checked the proof process, and Ye Fei wrote the paper.

As Ye Fei walked towards the dormitory, he thought to himself: "The results of the Turing equivalence problem proof, after the thesis is finished, we will start to cooperate with the Supercomputing Center."

"By the way, I wonder if this matter can be set as a task?"

With that said, Ye Fei set tasks in the system.

[Task: Cooperate with the National Supercomputing Dune Center to create a supercomputing algorithm (0%)
Details: Create supercomputing algorithms with mathematical algorithms

Reward: 50 points]

"50 points?" Ye Fei was astonished: "The point value is half of solving the problem of Turing equivalence, and it seems to be another difficult nut to crack."

Ye Fei thought that it should be quite simple to create a mathematical algorithm by himself, and then use the mathematical algorithm to create a supercomputing algorithm.

But judging by the integral value, the difficulty is a bit high.

"Ye Fei!" At this time, Dean Xu came from not far away.

"Dean Xu!" Ye Fei said.

"Get ready and go to accept the award with me next month. You have won the computer award."

Ye Fei's eyes lit up, and he asked, "How many awards did you win?"

"Guess?" Dean Xu smiled.

Ye Fei shook his head, thinking that Dean Xu is in his 50s and still so childish.

you guess?

Do you think I can guess?

Ye Fei said, "What's the number next month?"

"number 15."

"Okay!" Ye Fei nodded: "Call me one day in advance then."

March 3th is still a month away.

"Okay!" Dean Xu nodded and asked, "You left the lab early today!"

Ye Feidao: "The project research is successful, and the rest of the finishing work will be handed over to Professor Zhou, and I will go back and write the thesis."

"The research was successful?" Dean Xu was surprised: "You mean Turing equivalence?"

"En!" Ye Fei nodded.

"You really succeeded?" Dean Xu's eyes widened in surprise.

That is Turing equivalence, a problem that has plagued countless mathematicians and computer scientists for 86 years, and it has been proved in this way?

"It really worked." Ye Fei said.

"Impossible!" Dean Xu still couldn't believe it.

"Just ask Professor Zhou." Ye Fei waved his hand and said, "I'm going back."

He yawned and said, "I haven't slept well during this time, I'm going back to sleep."

In the final stage of proving Turing's equivalence, he and Professor Zhou worked day and night, sleeping only four hours a day, and working the rest of the time except eating and going to the bathroom.

After speaking, Ye Fei continued to walk towards the dormitory.

Dean Xu hurried to the computing power laboratory.

After waiting for the computing power laboratory, I will verify that Professor Zhou really proved Turing equivalence.

He exclaimed: "It turned out to be really successful, Professor Zhou, you can't lie to me."

"What did I lie to you for?" Professor Zhou said impatiently, "Ye Fei's thesis will be finished in a few days, and you will be able to read it then."

"It's really proven." Dean Xu said in surprise.

He gasped, shocked in his heart: "It's rare to see someone who is a top genius in both fields, and Ye Fei is."

"He is not only a top genius in mathematics, but also a top computer genius."

"How can I get him?"

Dean Xu's heart felt like claws scratching his heart, and he coveted Ye Fei even more.

(End of this chapter)