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Intuitionistic LTL and a new characterization of safety and liveness

Maier, Patrick

MPI-I-2004-2-002. August 2004, 20 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
Classical linear-time temporal logic (LTL) is capable of
specifying of and reasoning about infinite behaviors only.
While this is appropriate for specifying non-terminating
reactive systems, there are situations (e.g. assume-guarantee
reasoning, run-time verification) when it is desirable to be
able to reason about finite and infinite behaviors.
We propose an interpretation of the operators of LTL on finite
and infinite behaviors, which defines an intuitionistic temporal
logic (ILTL). We compare the expressive power of LTL and ILTL.
We demonstrate that ILTL is suitable for assume-guarantee
reasoning and for expressing properties that relate finite and
infinite behaviors. In particular, ILTL admits an elegant logical
characterization of safety and liveness properties.
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  AUTHOR = {Maier, Patrick},
  TITLE = {Intuitionistic LTL and a new characterization of safety and liveness},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-2004-2-002},
  MONTH = {August},
  YEAR = {2004},
  ISSN = {0946-011X},