The Shape Calculus is a bio-inspired timed and spatial calculus for describing 3D geometrical shapes moving in a space. Its purpose is twofold: i) modelling and formally verifying (not only) biological systems, and ii) simulating the models for validation and hypothesis testing. The original geometric primitives of the calculus are highly abstract: the associated simulator needs to attach a lot of code to the model specification in order to perform an effective simulation. In this work we propose a calculus refinement in which a detailed 3D characterization of the geometric primitives is injected into the syntax of the calculus. In this way, models written with the new syntax can be directly simulated.

A Geometrical Refinement of Shape Calculus Enabling Direct Simulation

BUTI, Federico;CORRADINI, Flavio;MERELLI, Emanuela;TESEI, Luca
2012-01-01

Abstract

The Shape Calculus is a bio-inspired timed and spatial calculus for describing 3D geometrical shapes moving in a space. Its purpose is twofold: i) modelling and formally verifying (not only) biological systems, and ii) simulating the models for validation and hypothesis testing. The original geometric primitives of the calculus are highly abstract: the associated simulator needs to attach a lot of code to the model specification in order to perform an effective simulation. In this work we propose a calculus refinement in which a detailed 3D characterization of the geometric primitives is injected into the syntax of the calculus. In this way, models written with the new syntax can be directly simulated.
2012
9789898565204
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/250159
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