Abstract
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. © 2014 IFIP International Federation for Information Processing.
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CITATION STYLE
Trancón Y Widemann, B., & Hauhs, M. (2014). Algebraic-coalgebraic recursion theory of history-dependent dynamical system models. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8446 LNCS, pp. 225–244). Springer Verlag. https://doi.org/10.1007/978-3-662-44124-4_13
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