Formalisation of Computability of Operators and Real-Valued Functionals via Domain Theory

  • Authors:
  • Margarita V. Korovina;Oleg V. Kudinov

  • Affiliations:
  • -;-

  • Venue:
  • CCA '00 Selected Papers from the 4th International Workshop on Computability and Complexity in Analysis
  • Year:
  • 2000

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Abstract

Based on an effective theory of continuous domains, notions of computability for operators and real-valued functionals defined on the class of continuous functions are introduced. Definability and semantic characterisation of computable functionals are given. Also we propose a recursion scheme which is a suitable tool for formalisation of complex systems, such as hybrid systems. In this framework the trajectories of continuous parts of hybrid systems can be represented by computable functionals.