Tau Meta Language and the notion of Fixed Point --------- Tau Meta Language is very unique in how it works. Each TML program is described as a loop without an arbitrary stopping condition. This is the case because the states of computation are finite. So a TML program merely defines what happens within a single iteration or "instance". The loop continues until S ∨ F A) Two consequetive iterations return the same result (this means success) i+(1).. i++(1).. S B) Two non-consequetive iterations return the same result (this means fail) i+(1).. i++(x).. i+++(1).. F There can only ever be two possibilities so in essence this is boolean, an either or situation. A represents a Fixed Point which indicates the result is final because the state of the computation has not changed after two consequentive iterations. To put it more precisely, if a loop ever has a length greater than 1 then it is a fail. Partial fixed point requires ORDERED structures such as an ordered set. This allows for P-SPACE complexity to be recovered.
author | dana-edwards |
---|---|
permlink | tau-meta-language-and-the-notion-of-fixed-point |
category | tauchain |
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this is an excellent mini manual that will be useful to those who decided to deal with the concept of a fixed point. On the principle of nothing complicated here, but I took some of the nuances for myself from your post. Thank you
author | frank1in |
---|---|
permlink | re-dana-edwards-tau-meta-language-and-the-notion-of-fixed-point-1514284643764z |
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Thank your for this article.
author | fth |
---|---|
permlink | re-dana-edwards-tau-meta-language-and-the-notion-of-fixed-point-20171228t131144519z |
category | tauchain |
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Thank you very much :)
author | mervesaglam |
---|---|
permlink | re-dana-edwards-tau-meta-language-and-the-notion-of-fixed-point-20171228t134845971z |
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nice post reminding me of my university days. will you please check my post?
author | munawar1235 |
---|---|
permlink | re-dana-edwards-tau-meta-language-and-the-notion-of-fixed-point-20171230t062505724z |
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Informative post Dana. Regards Nainaz.
author | nainaztengra |
---|---|
permlink | re-dana-edwards-tau-meta-language-and-the-notion-of-fixed-point-20171226t082941944z |
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@dana-edwards - Wow. I remember the tightly bound structures of the C and C++ language programs I wrote during my Master's degree. Though object oriented, the if..then kind of structures were so restrictive and required us to list of every eventuality. This is so simple and logical. I must read up more. Thanks for the heads up. Upvoted full through Steemfollower. Regards,  @vm2904
author | vm2904 |
---|---|
permlink | re-dana-edwards-tau-meta-language-and-the-notion-of-fixed-point-20171229t050914735z |
category | tauchain |
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vm2904 | 0 | 8,200,698,658 | 20% |
thanks gan, post very useful and helpful, do not forget vote my post also yes.
author | yanis01 | ||||||
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permlink | re-dana-edwards-20171226t123539956z | ||||||
category | tauchain | ||||||
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