## Abstract

In system synthesis, we transform a specification into a system that is guaranteed to satisfy the specification. When the system is open, it interacts with an environment via input and output signals and its behavior depends on this interaction. An open system should satisfy its specification in all possible environments. In addition to the input signals that the system can read, an environment can also have internal signals that the system cannot read. In the above setting, of synthesis with incomplete information, we should transform a specification that refers to both readable and unreadable signals into a system whose behavior depends only on the readable signals. In this work we solve the problem of synthesis with incomplete information for specifications in µ-calculus. Since many properties of systems are naturally specified by means of fixed points, the µ-calculus is an expressive and important specification language. Our results and technique generalize and simplify previous work on synthesis. In particular, we prove that the problem of µ-calculus synthesis with incomplete information is EXPTIME-complete. Thus, it is not harder than the satisfiability or the synthesis problems for this logic.

Original language | American English |
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Title of host publication | Mathematical Foundations of Computer Science 2000 - 25th International Symposium, MFCS 2000 , Proceedings |

Editors | Branislav Rovan, Mogens Nielsen |

Publisher | Springer Verlag |

Pages | 497-507 |

Number of pages | 11 |

ISBN (Print) | 3540679014 |

DOIs | |

State | Published - 2000 |

Event | 25th International Symposium on Mathematical Foundations of Computer Science, MFCS 2000 - Bratislava, Slovakia Duration: 28 Aug 2000 → 1 Sep 2000 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 1893 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 25th International Symposium on Mathematical Foundations of Computer Science, MFCS 2000 |
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Country/Territory | Slovakia |

City | Bratislava |

Period | 28/08/00 → 1/09/00 |

### Bibliographical note

Publisher Copyright:© Springer-Verlag Berlin Heidelberg 2000.