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Sharply Bounded Alternation and Quasilinear Time

✍ Scribed by S. A. Bloch; J. F. Buss; J. Goldsmith


Publisher
Springer
Year
1998
Tongue
English
Weight
227 KB
Volume
31
Category
Article
ISSN
1433-0490

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πŸ“œ SIMILAR VOLUMES


The strength of sharply bounded inductio
✍ Emil JeΕ™Γ‘bek πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 186 KB

## Abstract We prove that the sharply bounded arithmetic T^0^~2~ in a language containing the function symbol ⌊__x__ /2^__y__^ βŒ‹ (often denoted by MSP) is equivalent to PV~1~. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

A Remark on Independence Results for Sha
✍ Jan Johannsen πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 193 KB

The purpose of this note is to show that the independence results for sharply bounded arithmetic of Takeuti [4] and Tada and Tatsuta [3] can be obtained and, in case of the latter, improved by the model-theoretic method developed by the author in [2].

A Model-Theoretic Property of Sharply Bo
✍ Jan Johannsen πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 581 KB

We define a property of substructures of models of arithmetic, that of being length-initial, and show that sharply bounded formulae are absolute between a model and its length-initial submodels. We use this to prove independence results for some weak fragments of bounded arithmetic by constructing a

Local stabilization for linear discrete-
✍ Sophie Tarbouriech; Germain Garcia πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 139 KB πŸ‘ 2 views

The problem of the local stabilization of linear discrete-time systems subject to bounded controls and suffering from uncertainty of the norm-bounded time-varying type is addressed. From the solution of a certain discrete Riccati equation, a control gain and a set of safe initial conditions are obta