Completeness of Global Evaluation Logic

  • Sergey Goncharov
  • Lutz Schröder
  • Till Mossakowski
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4162)


Monads serve the abstract encapsulation of side effects in semantics and functional programming. Various monad-based specification languages have been introduced in order to express requirements on generic side-effecting programs. A basic role is played here by global evaluation logic, concerned with formulae which may be thought of as being universally quantified over the state space; this formalism is the fundament of more advanced logics such as monad-based Hoare logic or dynamic logic. We prove completeness of global evaluation logic for models in cartesian categories with a distinguished Heyting algebra object.


Equational Theory Program Sequence Functional Programming Dynamic Logic Evaluation Logic 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Sergey Goncharov
    • 1
  • Lutz Schröder
    • 1
    • 2
  • Till Mossakowski
    • 1
    • 2
  1. 1.Department of Computer ScienceUniversity of BremenGermany
  2. 2.DFKI Lab BremenGermany

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