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From: Martin 'Musatov' Mersenne on 10 May 2010 15:12 ==P Versus NP Solution Claimed== We say that a language L is c.e. (or semi-decidable) iff L = L(M) for some Turing machine M. We say that L is decidable iff L = L(M) for some Turing machine M which satisfies the condition that M halts on all input strings w. There is an equivalent definition of c.e. which brings out its analogy with NP, namely L is c.e. iff there is a computable checking relation R(x,y) such that L = {x | *yR(x,y)}. Using the [now]: act[i][on] *M* to define [now]: e is a string describing a Turing machine M, we define the Halting [solut[i][on]] HP as follows: HP = {*M* | M is a Turing machine which halts on input *M*} 3.
From: porky_pig_jr on 10 May 2010 17:09
On May 10, 3:12 pm, "Martin 'Musatov' Mersenne" <marty.musa...(a)gmail.com> wrote: > ==P Versus NP Solution Claimed== > > We say that a language L is c.e. (or semi-decidable) iff L = L(M) for > some Turing machine M. We say that L is decidable iff L = L(M) for > some Turing machine M which satisfies the condition that M halts on > all input strings w. There is an equivalent definition of c.e. which > brings out its analogy with NP, namely L is c.e. iff there is a > computable checking relation R(x,y) such that L = {x | *yR(x,y)}. > Using the [now]: act[i][on] *M* to define [now]: e is a string > describing a Turing machine M, we define the Halting [solut[i][on]] HP > as follows: HP = {*M* | M is a Turing machine which halts on input > *M*} 3. To Pee or To Not Pee: this is the question. |