November 2014
Intermediate to advanced
516 pages
16h 34m
English
Content preview from Commonsense Reasoning, 2nd Edition
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Appendix B
Equivalence of EC and DEC
Abstract We prove that EC, an axiomatization of the continuous event calculus, and DEC, an axiomatization of the discrete event calculus are logically equivalent if the timepoint sort is restricted to the integers. Our proof is structured as follows: We must show that EC implies DEC and that DEC implies EC. It is easy to show that EC implies DEC. This follows by universal instantiation, substituting t1 + 1 for t2. Showing that DEC implies EC is more difficult. We prove a number of lemmas stating that individual EC axioms follow from DEC.
Keywords Event calculus, Discrete event calculus, Equivalence of EC and DEC, Equivalence proof
In this appendix, we prove that EC and DEC are logically equivalent if the ...
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