Vol 3 Chapter 2097: Type Theory [Third]

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The foundation of typology is intuitionistic logic.
Hai Tingzheng has absorbed the "logic" of Lizong, rewrote the arithmetic axioms, and completed the logic of Lianzong.
The goal of typology is to "break through Gödel's incompleteness theorem" and the idea is to "cut off self-referentiality."
The operator put forward the idea of ​​bypassing "Gödel's incompleteness theorem", including "cut off self-referential".
Feng Luoyi walked along this line of thought in order to prove the safety of "Infinite Axiom".
It can be said that everything is ready.
Then, Junjun contributed ... achievements including the results of typology.
That is the chaotic topology network algorithm of the veterinary organ cluster.
Sui Jun did not separately propose a "type theory", because he was indeed not interested in the basic arithmetic that everyone fought over.
However, he is indeed a genius. With his own thinking, he has completed such a rigorous system.
It's like writing a complete operating system for you in coq language, it can run smoothly, and even the interface is still beautiful, incredible, amazing.
Wang Qi even suspected that the calculation of Jun is not a sacrifice of "Turing completeness", but ... that even Junjun does not care about "Turing completeness".
The veterinary organ cluster is quite safe. Judging from the theory of type theory, it is an absolute "strong specification and strong type", and will not enter any "unexpected" results. Once there is a little error, either a grammatical error will be prompted, or it will directly stop and show you.
Macroscopically, it is compatible with the achievements of Feng Luoyi.
Even if there is a problem in the operation of the macro, it is only because of the loss of wisdom constraints that the macro-level cluster temporarily loses its cohesion, rather than making the animal organization itself out of control.
Wang Qi thinks about it. This kind of thing that destroys the stars without paying attention does indeed require such rigid things to restrain.
If he was asked to use the typeless and typeless Vientiane hexagram directly to write the bottom layer ...
Haha ... hahahaha ...
It can be said that all the conditions for the birth of typology are intact.
It is just that at present, the monks of China's Lianzong still don't pay enough attention to the calculator.
They also stared at the piece of basic arithmetic, wanting to fight against Lizong and Geting in this respect.
I occasionally dabbled in the theory of calculators, just to "refute each other".
But what made Wang Qi almost trivial is ...
Such a history of the earth comes from the achievements of basic mathematics. In this world, it is actually pushed back from the application ...
"Haha ... hahahaha ..." Wang Qi had to say: "I feel that my impediment is indeed quite serious ..."
Although today's monks have always been proud of "opening the black box", in this universe, there is no way to completely evade the magic brought by the "black box".
In other words, no one can live without a black box.
Let ’s take the most straightforward example. If you have to understand the "central rule" in order to have a baby, then humans don't have to reproduce-but relatively, the virus will not spread.
There is "application" first and then "theory", which is a common thing in any world.
Zhao Qingtan stunned: "Sister and sister's achievement is quite remarkable ..."
"Yeah, it's quite remarkable." Wang Qi shook his head: "Shenzhou is afraid that it will change again."
"What do you mean?"
Wang Qidao: "It is easier to construct a new high-level calculator language, because some people directly clarify the essence of" language ", so everyone knows how to construct a language that can be used by fools.
The challenge of strong norms on IQ is that you must dance in shackles. Because Turing completeness is lost, there is really no degree of freedom.
The challenge of unsafe and typeless IQ is that you never know what bugs you will output.
Then there is the idea of ​​peeing shrimp and beef together to make peeing beef balls.
Languages ​​that have both "type theory" and "Turing completeness" also exist.
It is indeed displeasing on both sides.
This language mostly pleases "below".
Because of the type, it will not output completely unpredictable results.
Due to Turing completeness, it has a certain degree of freedom.
Code farmers despise the popular language at the bottom of the chain, and it was born.
This kind of stuff, Wang Qifeng Luo Yi will not take the initiative to develop, even if Jun is not thinking about it.
However, this is no different than pointing out a clear path.
As long as you go in this direction, the language used by those programmers will always be born.
"And, this is in the basic mathematics part ... Is it meaningful?" Wang Qi said.
Zhao Qingtan smiled.
Lizong Lianzong, the names of Geting Shaoli and others are indeed loud.
But a monk like him firmly believes that the "structure" of the school is the power of the next era.
The next day, Chen Youjia woke up and was stunned after listening to Wang Qi introduce these things.
"Am I so powerful?"
The girl blinked stunned.
Wang Qi nodded: "Superb."
Chen Youjia narrowed her eyes and smiled.
Immediately, she had some doubts: "This ... is a basic mathematics? I originally wanted to develop applications ..."
"This is very useful for analyzing the achievements of Shujun." Wang Qi said: "In addition, you are inferred from the" application "of Shujun, and it is also a path of" from theory to application. "
Type theory is also closely related to functional programming.
Although on the earth, Lisp, a functional programming that can be actually used, was developed before the type theory, but this does not prevent the type theory from taking the whole programming, especially the art of functional programming, to a higher level.
One of the barriers to the application of the Bulbaki school theory has been eliminated.
Wang Qi took a deep breath and said seriously: "But, sister, this is not finished yet. In your hands, this typology is just just formed."
Chen Youjia froze: "What do you call it? Type theory?"
Wang Qi nodded: "Define the language type ... are you dissatisfied?"
Chen Youjia smiled: "I feel like you will be overshadowed by your category theory [K theory]."
Wang Qi was taken aback. This is no trouble in the context of previous life.
"Then call" type theory "."
"Sounds like your" class theory ", it's wrong ..."
Wang Qi raised Chen Youjia's chin and asked, "A pair of children, what's wrong?"
"Don't make trouble, these two theories are very different in the field of mathematics ..."
"It's just a similar name!"
Amidst laughter, this theory destined to shake up history is a final name.
Chen Youjia sighed abruptly: "This time, it was really a coincidence ... If there were no debates between the real people of Ting and Mr. Feng, I would never have touched that trace of" Juanjun "; It ’s not always possible to see through the door ... "
"Be more confident." Wang Qi patted Chen Youjia's head: "You are strong enough."
After the excitement, Chen Youjia suddenly felt a little worried: "In other words, the school of mathematics is mainly for the foundation of mathematics. This time when my thesis was published, that is ... I joined the current debate as Lian Zong? ... not great? "
A school must always have the philosophy of a school consistent.
Wang Qi thought for a moment: "I don't think there is anything wrong with it. When I publish it carefully, it can be regarded as a non-member member of the Geting School."
"Ah? I always think you made an unlucky metaphor ..."
Wang Qi waved his hand: "Where did I go ... In short, it is a point of my rise within the Ten Thousand Famen, and it is also the origin of the basic faction? It can be said that Lian Zong's last debate, It was ended by me. And now, that is their final debate, it is also because of me. "
Now Lizonglianzong is trying to challenge the incomplete haircut. Wang Qi is right to say so.
"It is precisely because of this that I have the capital to form a foundation."
"This chaos, due to the faction, then, it is not wrong to end by the faction members."
Chen Youjia's tone was stagnant: "End ..."
Wang Qi nodded: "End. I should say ... Go, end this old generation."
Chen Youjia couldn't help laughing: "It seems as if the court's complaints will end."
Wang Qi didn't smile. This is almost the case.
The mathematical laws of this world and the aura universe are basically the same. In the foreseeable direction, intuitionism and formalism will inevitably decline.
Even if there is a difference, at most it means that Shujun is still alive, so intuitionism will not be reduced to working for computer science, but anti-guests, and intuitionism dominate the field of computer science?
This is just the most "bad" possibility.
After all, Mr. Feng and Real Turing did not kneel, did they?
Wang Qi said: "Brother Su is also paying attention to this aspect, but you can talk to him."
Chen Youjia nodded: "Right, can you contact Shunjun?"
Wang Qi was shocked: "What are you doing?"
"Ask, and thank you."
"Don't kill yourself?" Wang Qi exclaimed: "Don't you just exhausted your heart? And thank him for doing it? Isn't it a natural thing to write a book for other scholars? What inspired other scholars ..."
"You said it, why fear Fangjun?" Chen Youjia said calmly: "It's not just Mr. Feng, Mr. Feng, the real person of Hai Ting, we all have to thank. Of course, I also ask by the way."
Wang Qi grinned: "Don't you think ... this is a little too aggressive?"
"You don't help, I will find my father." Chen Youjia stared at Wang Qi.
Although there are restrictions on communication between hometowns and hometowns in other countries, Chen Jingyun is also a carefree monk, and his relatives can communicate with him without restriction.
But Chen Youjia would have a hard time trying to find a good man.
Wang Qi raised his hand: "Don't, don't, forwarding from China still consumes Xianmeng's precious bandwidth, it's not worth it, it's not worth it. I'll send you a letter to the head office?"
He is treated as an elder, and his secret level is high enough, and he just knows that Shujun is now at the bottom, and he can really send a letter to Shujun.
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