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Article #1681

Re: Are type 0 languages recursive?

#1681
From: LI Chung-Yuen
Date: Tue, 22 Dec 1992 13:34
16 lines
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lombardo@ghost.dsi.unimi.it (franco lombardo) writes:
>Are type 0 languages recursive? If the answer is yes, where can I find
>a prove of it? Otherwise, can you show an example of  a type 0 
>language which is not recursive?
>Are type 0 languages "recursivly numerable"?

Type 0 languages are, by definition, recursively enumerable.
The universal language (Introduction to Automata Theory, Languages and
Computation, Hopcroft & Ullman, p.183) is recursively enumerable but not
recursive.
The set of recursive languages is a proper subset of the set of
recursive renumerable languages.

--
Li Chung Yuen    cyli@cs.cuhk.hk    (852)609-7734
Room 121 Lady Shaw Building The Chinese University of Hong Kong HONG KONG
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From: cyli@cs.cuhk.hk (LI Chung-Yuen)
Subject: Re: Are type 0 languages recursive?
Message-ID: <1992Dec22.133424.5951@cucs5.cs.cuhk.hk>
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Date: Tue, 22 Dec 1992 13:34:24 GMT
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