## Abstract

In previous work, we have introduced a contract-based realizability checking algorithm for assume-guarantee contracts involving infinite theories, such as linear integer/real arithmetic and uninterpreted functions over infinite domains. This algorithm can determine whether or not it is possible to construct a realization (i.e. an implementation) of an assume-guarantee contract. The algorithm is similar to k-induction model checking, but involves the use of quantifiers to determine implementability. While our work on realizability is inherently useful for virtual integration in determining whether it is possible for suppliers to build software that meets a contract, it also provides the foundations to solving the more challenging problem of component synthesis. In this paper, we provide an initial synthesis algorithm for assume-guarantee contracts involving infinite theories. To do so, we take advantage of our realizability checking procedure and a skolemization solver for ∀∃-formulas, called AE-VAL. We show that it is possible to immediately adapt our existing algorithm towards synthesis by using this solver, using a demonstration example. We then discuss challenges towards creating a more robust synthesis algorithm.

Original language | English (US) |
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Title of host publication | Proceedings - 4th FME Workshop on Formal Methods in Software Engineering, FormaliSE 2016 |

Publisher | Association for Computing Machinery, Inc |

Pages | 36-41 |

Number of pages | 6 |

ISBN (Electronic) | 9781450341592 |

DOIs | |

State | Published - May 14 2016 |

Event | 4th FME Workshop on Formal Methods in Software Engineering, FormaliSE 2016 - Austin, United States Duration: May 15 2016 → … |

### Publication series

Name | Proceedings - 4th FME Workshop on Formal Methods in Software Engineering, FormaliSE 2016 |
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### Conference

Conference | 4th FME Workshop on Formal Methods in Software Engineering, FormaliSE 2016 |
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Country/Territory | United States |

City | Austin |

Period | 5/15/16 → … |

### Bibliographical note

Funding Information:This work was funded by DARPA and AFRL under contract 4504789784 (Secure Mathematically-Assured Composition of Control Models), and by NASA under contract NNA13AA21C (Compositional Verification of Flight Critical Systems), and by NSF under grant CNS-1035715 (Assuring the safety, security, and reliability of medical device cyber physical systems).

Publisher Copyright:

© 2016 ACM.