Formal Modeling of Robotic Cell Injection Systems in Higher-order Logic

TL;DR

This paper introduces a higher-order-logic theorem proving approach for modeling and analyzing robotic cell injection systems, offering a more complete and accurate analysis of their continuous dynamics compared to traditional methods.

Contribution

It presents the first application of higher-order-logic theorem proving to robotic cell injection systems, enhancing analysis precision and reducing human error.

Findings

Achieved formal modeling of the system dynamics in higher-order logic

Provided rigorous proofs of system properties using deductive reasoning

Demonstrated improved analysis completeness over simulation and model checking

Abstract

Robotic cell injection is used for automatically delivering substances into a cell and is an integral component of drug development, genetic engineering and many other areas of cell biology. Traditionally, the correctness of functionality of these systems is ascertained using paper-and-pencil proof and computer simulation methods. However, the paper based proofs can be human-error prone and the simulation provides an incomplete analysis due to its sampling based nature and the inability to capture continuous behaviors in computer based models. Model checking has been recently advocated for the analysis of cell injection systems as well. However, it involves the discretization of the differential equations that are used for modeling the dynamics of the system and thus compromises on the completeness of the analysis as well. In this paper, we propose to use higher-order-logic theorem proving for the modeling and analysis of the dynamical behaviour of the robotic cell injection systems. The high expressiveness of the underlying logic allows us to capture the continuous details of the model in their true form. Then, the model can be analyzed using deductive reasoning within the sound core of a proof assistant.