Instantiation-Based Automated Reasoning: From Theory to Practice

  • Authors:
  • Konstantin Korovin

  • Affiliations:
  • University of Manchester, UK

  • Venue:
  • CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
  • Year:
  • 2009

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Abstract

Instantiation-based automated reasoning aims at combining the efficiency of propositional SAT and SMT technologies with the expressiveness of first-order logic. Propositional SAT and SMT solvers are probably the most successful reasoners applied to real-world problems, due to extremely efficient propositional methods and optimized implementations. However, the expressiveness of first-order logic is essential in many applications ranging from formal verification of software and hardware to knowledge representation and querying. Therefore, there is a growing demand to integrate efficient propositional and more generally ground reasoning modulo theories into first-order reasoning.