کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6873989 | 686415 | 2015 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the expressivity of elementary linear logic: Characterizing Ptime and an exponential time hierarchy
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
This paper aims at reviving interest in elementary linear logic by showing that, despite its simplicity, it can capture smaller complexity classes than that of elementary functions. For that we carry a detailed analysis of its normalization procedure, and study the complexity of functions represented by a given type. We then show that by considering a slight variant of this system, with type fixpoints and free weakening (elementary affine logic with fixpoints) we can characterize the complexity of functions of type !Wâ¸!k+2B, where W and B are respectively types for binary words and booleans. The key point is a sharper study of the normalization bounds. We characterize in this way the class P of polynomial time predicates, and more generally the hierarchy of classes k-EXP, for kâ¥0, where k-EXP is the union of DTIME(2kni), for iâ¥1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information and Computation - Volume 241, April 2015, Pages 3-31
Journal: Information and Computation - Volume 241, April 2015, Pages 3-31
نویسندگان
Patrick Baillot,