Triple Dots in a Formal Language

  • Authors:
  • Leon Łukaszewicz

  • Affiliations:
  • Institute of Computer Science, Polish Academy of Sciences, 01237 Warsaw, Poland. E-mail: luk@ipipan.waw.pl

  • Venue:
  • Journal of Automated Reasoning
  • Year:
  • 1999

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Abstract

Terms containing triple dots are defined in the framework of an ad hoc small formal language of mathematical logic. It contains some constructions that make this task possible. The constructions include variables whose subscripts are arbitrary terms of the language, quantifiers of an infinite number of variables, and shorter forms of triple-dot terms, called star terms. Introduction of the terms and constructions in a practice-oriented language may make it more convenient.