Third-Order Computation and Bounded Arithmetic
نویسنده
چکیده
We describe a natural generalization of ordinary computation to a third-order setting and give a function calculus with nice properties and recursion-theoretic characterizations of several large complexity classes. We then present a number of third-order theories of bounded arithmetic whose definable functions are the classes of the EXP-time hierarchy in the third-order setting.
منابع مشابه
Theories and Proof Systems for PSPACE and the EXP - Time Hierarchy
Theories and Proof Systems for PSPACE and the EXP-Time Hierarchy Alan Ramsay Skelley Doctor of Philosophy Graduate Department of Computer Science University of Toronto 2006 This dissertation concerns theories of bounded arithmetic and propositional proof systems associated with PSPACE and classes from the exponential-time hierarchy. The second-order viewpoint of Zambella and Cook associates sec...
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عنوان ژورنال:
- J. Log. Comput.
دوره 17 شماره
صفحات -
تاریخ انتشار 2007