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semantics of aggregates

Theory and Practice of Logic Programming (1)

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On equivalence of infinitary formulas under the stable model semantics
AMELIA HARRISON, VLADIMIR LIFSCHITZ, MIROSLAW TRUSZCZYNSKI
Journal:

Theory and Practice of Logic Programming / Volume 15 / Issue 1 / January 2015

Published online by Cambridge University Press:

16 May 2014, pp. 18-34
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Propositional formulas that are equivalent in intuitionistic logic, or in its extension known as the logic of here-and-there, have the same stable models. We extend this theorem to propositional formulas with infinitely long conjunctions and disjunctions and show how to apply this generalization to proving properties of aggregates in answer set programming.