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2015 Technical Reports

Infinite Paths in the Situation Calculus (Extended Version)

Shakil M. Khan and Yves Lespérance

Technical Report EECS-2015-05

York University

December 1 2015


The situation calculus has proved to be a very popular formalism for modeling and reasoning about dynamic systems. This otherwise elegant and refined language however lacks a natural way of dealing with "infinite future histories". To this end, in this paper we introduce a new sort ranging over infinite paths in the situation calculus and propose an axiomatization for infinite paths. We thus obtain a convenient way of specifying several kinds of notions that involve infinite futures such as temporal properties of non-terminating executions of agents or programs and mental attitudes such as desires and intentions. We prove the correctness of the axiomatization and show that our formalization has some intuitively desirable properties. We then illustrate the usefulness of our formalization by considering applications involving desires and non-terminating programs.

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