Subsystems of true arithmetic and hierarchies of functions
نویسندگان
چکیده
منابع مشابه
a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals
writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...
Subsystems of Second Order Arithmetic Second Edition
Foundations of mathematics is the study of the most basic concepts and logical structure of mathematics, with an eye to the unity of human knowledge. Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case studies, these axioms are examined to prove particular theorems in core...
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چکیده ندارد.
15 صفحه اولCollapsing Exact Arithmetic Hierarchies
We provide a uniform framework for proving the collapse of the hierarchy NC(C) for an exact arithmetic class C of polynomial degree. These hierarchies collapse all the way down to the third level of the AC-hierarchy, AC3(C). Our main collapsing exhibits are the classes C ∈ {C=NC,C=L,C=SAC,C=P}. NC(C=L) and NC(C=P) are already known to collapse [1,18,19]. We reiterate that our contribution is a ...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1993
ISSN: 0168-0072
DOI: 10.1016/0168-0072(93)90031-8