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Computer Science > Logic in Computer Science

arXiv:0911.4988v1 (cs)
[Submitted on 26 Nov 2009]

Title:Abstract Interpretation for Probabilistic Termination of Biological Systems

Authors:Roberta Gori (Dipartimento di informatica, Pisa.), Francesca Levi (Dipartimento di informatica, Pisa)
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Abstract: In a previous paper the authors applied the Abstract Interpretation approach for approximating the probabilistic semantics of biological systems, modeled specifically using the Chemical Ground Form calculus. The methodology is based on the idea of representing a set of experiments, which differ only for the initial concentrations, by abstracting the multiplicity of reagents present in a solution, using intervals. In this paper, we refine the approach in order to address probabilistic termination properties. More in details, we introduce a refinement of the abstract LTS semantics and we abstract the probabilistic semantics using a variant of Interval Markov Chains. The abstract probabilistic model safely approximates a set of concrete experiments and reports conservative lower and upper bounds for probabilistic termination.
Subjects: Logic in Computer Science (cs.LO); Computational Engineering, Finance, and Science (cs.CE); Formal Languages and Automata Theory (cs.FL); Quantitative Methods (q-bio.QM)
Cite as: arXiv:0911.4988 [cs.LO]
  (or arXiv:0911.4988v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.0911.4988
Journal reference: EPTCS 11, 2009, pp. 137-153
Related DOI: https://doi.org/10.4204/EPTCS.11.9

Submission history

From: EPTCS [view email]
[v1] Thu, 26 Nov 2009 00:36:03 UTC (31 KB)
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