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Modelling and Verification Analysis of the Predator-Prey System via a First Order Logic Approach

  • Zvi Retchkiman KonigsbergEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10385)

Abstract

Consider the interaction of populations, in which there are exactly two species, one of which the predators eat the preys thereby affecting each other. In the study of this interaction Lotka-Volterra models have been used. This paper proposes a formal modelling and verification analysis methodology, which consists in representing the interaction behavior by means of a formula of the first order logic. Then, using the concept of logic implication, and transforming this logical implication relation into a set of clauses, called Skolem standard form, qualitative methods for verification (satisfiability) as well as performance issues, for some queries, are applied.

Keywords

Predator-prey system First order logic Model Verification Unsatisfiability Refutation methods 

References

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    Haberman, R.: Mathematical Models in Mechanical Vibrations, Population Dynamics, and Traffic Flow. Prentice Hall, Upper Saddle River (1977)Google Scholar
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    Chang, C.-L., Lee, R.C.-T.: Symbolic Logic and Mechanical Theorem Proving. Academic Press, Cambridge (1973)Google Scholar
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    Davis, M., Sigal, R., Weyuker, E.: Computability, Complexity, and Languages, Fundamentals of Theoretical Computer Science. Academic Press, Cambridge (1983)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Centro de Investigacion en ComputacionInstituto Politecnico NacionalMexicoMexico

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