On Twist-Closed Trios: A New Morphic Characterization of r.e. Sets

نویسنده

  • Matthias Jantzen
چکیده

We show that in conjunction with the usual trio operations the combination of twist and product can simulate any combination of intersection, reversal and 1 2 . It is proved that any recursively enumerable language L can be homomorphically represented by twisting a linear context-free language. Indeed, the recursively enumerable sets form the least twist-closed full trio generated by dMIR:= {wcwrev | w ∈ {a, b}∗}.

برای دانلود رایگان 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

Closed Left-R.E. Sets

A set is called r-closed left-r.e. iff every set r-reducible to it is also a left-r.e. set. It is shown that some but not all left-r.e. cohesive sets are many-one closed left-r.e. sets. Ascending reductions are many-one reductions via an ascending function; left-r.e. cohesive sets are also ascending closed left-r.e. sets. Furthermore, it is shown that there is a weakly 1-generic many-one closed...

متن کامل

On Regular Generalized $delta$-closed Sets in Topological Spaces

In this paper a new class of sets called  regular generalized  $delta$-closed set (briefly rg$delta$-closed set)is introduced and its properties are studied. Several examples are provided to illustrate the behaviour of these new class of sets.

متن کامل

Isomorphism theorem for BSS recursively enumerable sets over real closed fields

The main result of this paper lies in the framework of BSS computabil-ity : it shows roughly that any recursively enumerable set S in R N , N 6 1, where R is a real closed eld, is isomorphic to R dim S by a bijec-tion ' which is decidable over S. Moreover the map S 7 ! ' is computable. Some related matters are also considered like characterization of the real closed elds with a r.e. set of innn...

متن کامل

Recursmly Tnivartant P-recurston Theory

'We int¡oduce recursively invariant p-recursion theory as a new approach towards recursion theory on an arbitrary limit ordinal É. We follow Friedman and Sacks and call a subset of BB-recursively enumerable if it is.Xr-definable over Lu. Since Friedman-Sacks'notion of a p-finite set is not invariant under p-recursive permutations of p we turn to a different notion. Under all possible invariant ...

متن کامل

Some new properties of fuzzy strongly ${{g}^{*}}$-closed sets and $delta {{g}^{*}}$-closed sets in fuzzy topological spaces

‎In this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. Moreover, we study some more properties of this type of closed spaces.

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997