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12 years 21 days ago
Computation Error Analysis in Digital Signal Processing Systems With Overscaled Supply Voltage
It has been recently demonstrated that digital signal processing systems may possibly leverage unconventional voltage overscaling (VOS) to reduce energy consumption while maintaini...
Yang Liu, Tong Zhang, Keshab K. Parhi
12 years 22 days ago
Speculatively Redundant Continued Logarithm Representation
Continued logarithms, as originally introduced by Gosper, represent a means for exact rational arithmetic, but their application to exact real arithmetic is limited by the uniquene...
Tomas Brabec
12 years 5 months ago
A Number System with Continuous Valued Digits and Modulo Arithmetic
This paper presents a novel number system based on signed continuous valued digits. Arithmetic operations in this number system are performed using simple analog circuitry, in con...
Aryan Saed, Majid Ahmadi, Graham A. Jullien
59views more  DCG 1998»
12 years 5 months ago
A Probabilistic Analysis of the Power of Arithmetic Filters
The assumption of real-number arithmetic, which is at the basis of conventional geometric algorithms, has been seriously challenged in recent years, since digital computers do not...
Olivier Devillers, Franco P. Preparata
120views more  APAL 1999»
12 years 5 months ago
Bounded Arithmetic, Proof Complexity and Two Papers of Parikh
This article surveys R. Parikh's work on feasibility, bounded arithmetic and the complexity of proofs. We discuss in depth two of Parikh's papers on these subjects and s...
Samuel R. Buss
69views more  AML 2002»
12 years 5 months ago
Transfer principles in nonstandard intuitionistic arithmetic
Using a slight generalization, due to Palmgren, of sheaf semantics, we present a term-model construction that assigns a model to any first-order intuitionistic theory. A modificat...
J. Avigad, Jeremy Helzner
74views more  JSYML 2007»
12 years 5 months ago
A power function with a fixed finite gap everywhere
We give an application of the extender based Radin forcing to cardinal arithmetic. Assuming κ is a large enough cardinal we construct a model satisfying 2κ = κ+n together with 2...
Carmi Merimovich
109views more  JSYML 2008»
12 years 6 months ago
Closed fragments of provability logics of constructive theories
In this paper we give a new proof of the characterization of the closed fragment of the provability logic of Heyting's Arithmetic. We also provide a characterization of the c...
Albert Visser
154views Education» more  CORR 2007»
12 years 6 months ago
Distributed Arithmetic Coding for the Asymmetric Slepian-Wolf problem
Distributed source coding schemes are typically based on the use of channels codes as source codes. In this paper we propose a new paradigm, termed “distributed arithmetic codin...
Marco Grangetto, Enrico Magli, Gabriella Olmo
12 years 7 months ago
Complete Interval Arithmetic and its Implementation
: Let IIR be the set of closed and bounded intervals of real numbers. Arithmetic in IIR can be defined via the power set IPIR of real numbers. If divisors containing zero are exclu...
Ulrich W. Kulisch