Hilbert's tenth problem
Cornerstones of undecidability
Cornerstones of undecidability
Mathematical Theory of L Systems
Mathematical Theory of L Systems
Membrane Computing: An Introduction
Membrane Computing: An Introduction
The Mathematical Theory of Context-Free Languages
The Mathematical Theory of Context-Free Languages
Applications of Membrane Computing (Natural Computing Series)
Applications of Membrane Computing (Natural Computing Series)
Development of membrane controllers for mobile robots
Information Sciences: an International Journal
Using enzymatic numerical P systems for modeling mobile robot controllers
Natural Computing: an international journal
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With inspiration from the economic reality, where numbers are basic entities to work with, we propose a genuinely new kind of P systems, where numerical variables evolve, starting from initial values, by means of production functions and repartition protocols. We prove that non-deterministic systems of this type, using polynomial production functions, characterize the Turing computable sets of natural numbers, while deterministic systems, with polynomial production functions having non-negative coefficients, compute strictly more than semilinear sets of natural numbers. A series of research topics to be addressed in this framework are mentioned.