Bounded Arithmetic in Free Logic

One of the central open questions in bounded arithmetic is whether Buss' hierarchy of theories of bounded arithmetic collapses or not. In this paper, we reformulate Buss' theories using free logic and conjecture that such theories are easier to handle. To show this, we first prove that Bus...

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Bibliographic Details
Main Author: Yoriyuki Yamagata
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2012-08-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/863/pdf