Prospect of mathematical automatic theorem proof and Prospect of mathematical theorem proof

Prospect of mathematical automatic theorem proof and Prospect of mathematical theorem proof

On the afternoon of June 23, July 2, Beijing elementary school started summer vacation. Sun and sun on the second floor kept shouting, which left me a lot of trouble. However, when I went upstairs, I found sun was playing a connected online game with my classmates, which aroused my memories of the past.

In the 1950s s, when a general computer was launched (in 1954), mathematicians began to use their brains on computers and wanted to "prove machine's automatic theorem ". At first, they (mathematicians) took the famous "mathematical principles" of Russell and started to use the three reasoning rules (module generation, variable substitution and formula replacement, the computer automatically proved 38 of the first 54 theorems in "mathematical principles", which can be described as "winning.

Since 1960, Argonne National Laboratory has invested a lot of manpower research to prove the "Automatic Theorem" technology. Later, Intel and AMD used this "Automation" technology to verify the correctness of CPU products. The whimsy of mathematicians finally come in practical use.

Nowadays, the "Automatic proof" of mathematical theorem on general computers is no longer difficult. There are many free software and commodity software. However, what is the prospect of machine automatic theorem proof?

Our generation is old and useless. I think that my generation of sun and sun has been "bubble" on computers since childhood. When I grow up, I am used to looking for computer "Doctors" to see a doctor (AI Expert System). When I study mathematics, in his head, what theorem does a mathematician prove? Instead, what theorem does a computer program prove. In their opinion, mathematics is a "Learning" developed by computers.

In my opinion, mathematics is not an "egg" under a computer, but a "secretion" of the human brain. In essence, mathematics is what mathematicians do. When people leave, what about mathematics?

Yuan Meng, September

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