Abstract
In this extended abstract, we recast first the implementation of tree operations in P systems with λP systems and simulation of pure λ-calculus as proposed in [6]. Further, we indicate a similar way to implement Gödel’s T-systems. This provides a family of P systems with each system implementing a family of total recursive functions. The union of the implemented functions coincides with the set of provably total recursive functions in Peano arithmetic.
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Colson, L., Jonoska, N., Margenstern, M. (2005). λP Systems and Typed λ-Calculus. In: Mauri, G., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2004. Lecture Notes in Computer Science, vol 3365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31837-8_1
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DOI: https://doi.org/10.1007/978-3-540-31837-8_1
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