On computations with integer division

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چکیده

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On Computations with Integer Division

We consider computation trees (CTs) with operations $S \subset {+,-, *, DIV, DIV_c}$, where $DIV$ denotes integer division and $DIV_c$ integer division by constants. We characterize the families of languages $L \subset N$ that can be recognized over ${+,-, DIV_c}$ and ${+,-, *, DIV}$, resp. and show that they are identical. Furthermore, we prove lower bounds for CT's with operations ${+,-, DIV_...

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ژورنال

عنوان ژورنال: RAIRO - Theoretical Informatics and Applications

سال: 1989

ISSN: 0988-3754,1290-385X

DOI: 10.1051/ita/1989230101011