2 Leo Harrington And

نویسنده

  • ROBERT I. SOARE
چکیده

1. Introduction A set A of nonnegative integers is computably enumerable (c.e.), also called recursively enumerable (r.e.), if there is a computable method to list its elements.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The d . r . e . degrees are not dense S . BARRY COOPER LEO HARRINGTON ALISTAIR H . LACHLAN STEFFEN LEMPP

By constructing a maximal inco1nplete d.r.e. degree, the nondensity of the partial order of the d.r.e. degrees is established. An easy modification yields the nondensity of the n-r.e. degrees (n 2 2) and of the w-r.e, degrees,

متن کامل

Harrington’s results on arithmetical singletons

We exposit two previously unpublished results due to Leo Harrington. The first result says that there exist arithmetical singletons which are arithmetically incomparable. The second result says that there exists a ranked point which is not an arithmetical singleton.

متن کامل

There is No Fat Orbit

We give a proof of a theorem of Harrington that there is no orbit of the lattice of recursively enumerable sets containing elements of each nonzero recursively enumerable degree. We also establish some degree theoretical extensions.

متن کامل

Harrington's conservation theorem redone

Leo Harrington showed that the second-order theory of arithmetic WKL0 is Π 1 -conservative over the theory RCA0. Harrington’s proof is modeltheoretic, making use of a forcing argument. A purely proof-theoretic proof, avoiding forcing, has been eluding the efforts of researchers. In this short paper, we present a proof of Harrington’s result using a cut-elimination argument.

متن کامل

Isomorphisms of splits of computably enumerable sets

We show that if A and  are automorphic via 8 then the structures SR(A) and SR( Â) are 13-isomorphic via an isomorphism 9 induced by 8. Then we use this result to classify completely the orbits of hhsimple sets.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996