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Algebraic–coalgebraic recursion theory of history-dependent dynamical system models

Title data

Trancón y Widemann, Baltasar ; Hauhs, Michael:
Algebraic–coalgebraic recursion theory of history-dependent dynamical system models.
In: Theoretical Computer Science. Vol. 604 (2015) . - pp. 63-80.
ISSN 0304-3975
DOI: https://doi.org/10.1016/j.tcs.2015.06.058

Abstract in another language

We investigate the common recursive structure of history-dependent dynamic models in science and engineering. We give formal semantics in terms of a hybrid algebraic–coalgebraic scheme, namely course-of-value iteration. This theoretical approach yields categories of observationally equivalent model representations with precise semantic relationships. Along the initial–final axis of these categories, history dependence can appear both literally and transformed into instantaneous state. The framework can be connected to philosophical and epistemological discourse on one side, and to algorithmic considerations for computational modeling on the other.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: BAYCEER129550
Institutions of the University: Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences > Chair Ecological Modelling
Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences > Chair Ecological Modelling > Chair Ecological Modelling - Univ.-Prof. Dr. Michael Hauhs
Research Institutions
Research Institutions > Research Centres
Research Institutions > Research Centres > Bayreuth Center of Ecology and Environmental Research- BayCEER
Faculties
Faculties > Faculty of Biology, Chemistry and Earth Sciences
Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences
Result of work at the UBT: Yes
DDC Subjects: 500 Science
Date Deposited: 04 Aug 2016 09:50
Last Modified: 04 Aug 2016 09:50
URI: https://eref.uni-bayreuth.de/id/eprint/33823