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» Automata, Borel functions and real numbers in Pisot base
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ITA
2007
104views Communications» more  ITA 2007»
13 years 4 months ago
Automata, Borel functions and real numbers in Pisot base
This note is about functions f : Aω → Bω whose graph is recognized by a B¨uchi finite automaton on the product alphabet A × B. These functions are Baire class 2 in the Bair...
Benoit Cagnard, Pierre Simonnet
CORR
2008
Springer
112views Education» more  CORR 2008»
13 years 4 months ago
Minimal weight expansions in Pisot bases
For applications to cryptography, it is important to represent numbers with a small number of non-zero digits (Hamming weight) or with small absolute sum of digits. The problem of ...
Christiane Frougny, Wolfgang Steiner
RTSS
2007
IEEE
13 years 11 months ago
Composing Functional and State-Based Performance Models for Analyzing Heterogeneous Real-Time Systems
— We present a performance analysis technique for distributed real-time systems in a setting where certain components are modeled in a purely functional manner, while the remainin...
Linh T. X. Phan, Samarjit Chakraborty, P. S. Thiag...
ITP
2010
230views Mathematics» more  ITP 2010»
13 years 6 months ago
On the Formalization of the Lebesgue Integration Theory in HOL
Lebesgue integration is a fundamental concept in many mathematical theories, such as real analysis, probability and information theory. Reported higher-order-logic formalizations o...
Tarek Mhamdi, Osman Hasan, Sofiène Tahar
DSRT
2005
IEEE
13 years 10 months ago
Modeling Decentralized Real-Time Control by State Space Partition of Timed Automata
Timed automata provide useful state machine based representations for the validation and verification of realtime control systems. This paper introduces an algorithmic methodolog...
Thanikesavan Sivanthi, Srivas Chennu, Lothar Kreft