Semi-partitioned horn clauses: a tractable logic of types

  • Authors:
  • Allan Ramsay

  • Affiliations:
  • School of Computer Science, University of Manchester, Manchester, UK

  • Venue:
  • AIMSA'10 Proceedings of the 14th international conference on Artificial intelligence: methodology, systems, and applications
  • Year:
  • 2010

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Abstract

Reasoning about types is a common task, and there are a number of logics that have been developed for this purpose [1,2]. The problem is that type logics with efficient proof procedures are not very expressive, and logics with more expressive power are not tractable. The current paper presents a logic which is considerably more expressive than using a simple taxonomy, but for which the proof procedure is nonetheless linear.