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Processes as formal power series: A coinductive approach to denotational semantics


@ARTICLE{BG:TCS2006:PFPSCADS,
  title = {{Processes as formal power series: A coinductive approach to denotational semantics}},
  author = {{Michele} {Boreale} and {Fabio} {Gadducci}},
  journal = {Theoretical Computer Science},
  pages = {440-458},
  abstract = {We characterize must testing equivalence on CSP in terms of the unique homomorphism from the Moore automaton of CSP processes to the final Moore automaton of partial formal power series over a certain semiring. The final automaton is then turned into a CSP- algebra: operators and fixpoints are defined, respectively, via behavioural differential equations and simulation relations. This structure is then shown to be preserved by the final homomorphism. As a result, we obtain a fully abstract compositional model of CSP phrased in purely set-theoretical terms.},
  publisher = {Elsevier},
  volume = {360},
  year = {2006},
  url = {http://rap.dsi.unifi.it/sensoriasite/tcs360.pdf},
  partner = {DSIUF, PISA},
  status = {public},
  task = {T5.1},
}

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