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Co-Algebraic Models for Quantitative Spatial Logics


@INPROCEEDINGS{CF:STLCS,
  title = {{Co-Algebraic Models for Quantitative Spatial Logics}},
  author = {{Vincenzo} {Ciancia} and {Gianluigi} {Ferrari}},
  booktitle = {Quantitative Aspects of Programming Languages (QAPL'07)},
  abstract = {We introduce a class of coalgebraic models and a family of modal logics that support the specification of spatial properties of distributed applications. The evaluation of a formula yields a value in a suitable multi-valued algebraic structure, giving a measure of the satisfaction of a requirement, induced by the decomposition of a system into subsystems, meant as available resources. As semantic domain we consider certain algebraic structures, called c-semirings, that allow us to generalize boolean logics to the multi-valued case, while keeping a number of the axioms of boolean algebras. Under suitable conditions on the structure of c-semirings, we show that, even if our logical formalisms are equipped with spatial operators, the interpretation of formulas fully characterizes bisimilarity.},
  year = {2007},
  url = {http://www.di.unipi.it/~ciancia/content/c-semirings_spatial.pdf},
  keywords = {c-semirings, coalgebras, model checking, quality of service},
  partner = {PISA},
  school = {Ph.D. school in Computer Science},
  status = {public},
  task = {T3.2, T3.3},
}

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