SCAN Is Complete for All Sahlqvist Formulae

نویسندگان

  • Valentin Goranko
  • Ullrich Hustadt
  • Renate A. Schmidt
  • Dimiter Vakarelov
چکیده

scan is an algorithm for reducing existential second-order logic formulae to equivalent simpler formulae, often first-order logic formulae. It is provably impossible for such a reduction to first-order logic to be successful for every second-order logic formula which has an equivalent first-order formula. In this paper we show that scan successfully computes the first-order equivalents of all Sahlqvist formulae in the classical (multi-)modal language.

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تاریخ انتشار 2003