Collections, cardinalities, and relations

  • Authors:
  • Kuat Yessenov;Ruzica Piskac;Viktor Kuncak

  • Affiliations:
  • MIT Computer Science and Artificial Intelligence Lab, Cambridge;EPFL School of Computer and Communication Sciences, Lausanne, Switzerland;EPFL School of Computer and Communication Sciences, Lausanne, Switzerland

  • Venue:
  • VMCAI'10 Proceedings of the 11th international conference on Verification, Model Checking, and Abstract Interpretation
  • Year:
  • 2010

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Abstract

Logics that involve collections (sets, multisets), and cardinality constraints are useful for reasoning about unbounded data structures and concurrent processes. To make such logics more useful in verification this paper extends them with the ability to compute direct and inverse relation and function images. We establish decidability and complexity bounds for the extended logics.