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Non-terminating processes in the situation calculus

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Abstract

By their very design, many robot control programs are non-terminating. This paper describes a situation calculus approach to expressing and proving properties of non-terminating programs expressed in Golog, a high level logic programming language for modeling and implementing dynamical systems. Because in this approach actions and programs are represented in classical (second-order) logic, it is natural to express and prove properties of Golog programs, including non-terminating ones, in the very same logic. This approach to program proofs has the advantage of logical uniformity and the availability of classical proof theory.

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Acknowledgements

Unfortunately Ray Reiter passed away in 2002 and could not participate in the exciting developments of the recent years. However his work deeply inspired them, and we are immensely grateful to him.

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Authors and Affiliations

  1. Università di Roma “La Sapienza”, Rome, Italy

    Giuseppe De Giacomo

  2. Simon Fraser University, Vancouver, BC, Canada

    Eugenia Ternovska

  3. University of Toronto, Toronto, ON, Canada

    Ray Reiter

Authors
  1. Giuseppe De Giacomo
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  2. Eugenia Ternovska
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  3. Ray Reiter
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Correspondence to Giuseppe De Giacomo.

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De Giacomo, G., Ternovska, E. & Reiter, R. Non-terminating processes in the situation calculus. Ann Math Artif Intell 88, 623–640 (2020). https://doi.org/10.1007/s10472-019-09643-9

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