On the continuity set of an Omega rational function
نویسندگان
چکیده
منابع مشابه
On the continuity set of an Omega rational function
In this paper, we study the continuity of rational functions realized by Büchi finite state transducers. It has been shown by Prieur that it can be decided whether such a function is continuous. We prove here that surprisingly, it cannot be decided whether such a function f has at least one point of continuity and that its continuity set C(f) cannot be computed. In the case of a synchronous rat...
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In this paper, we study the continuity of rational functions realized by Büchi finite state transducers. It has been shown by Prieur that it can be decided whether such a function is continuous. We prove here that surprisingly, it cannot be decided whether such a function f has at least one point of continuity and that its continuity set C(f) cannot be computed. In the case of a synchronous rat...
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ژورنال
عنوان ژورنال: RAIRO - Theoretical Informatics and Applications
سال: 2008
ISSN: 0988-3754,1290-385X
DOI: 10.1051/ita:2007050