## Abstract

We propose a bounded model checking procedure for programs manipulating dynamically allocated pointer structures. Our procedure checks whether a program execution of length n ends in an error (e. g., a NULL dereference) by testing if the weakest precondition of the error condition together with the initial condition of the program (e. g., program variable x points to a circular list) is satisfiable. We express error conditions as formulas in the 2-variable fragment of the Bernays-Schönfinkel class with equality. We show that this fragment is closed under computing weakest preconditions. We express the initial conditions by unary relations which are defined by monadic Datalog programs.

Our main contribution is a small model theorem for the 2-variable fragment of the Bernays-Schönfinkel class extended with least fixed points expressible by certain monadic Datalog programs. The decidability of this extension of first-order logic gives us a bounded model checking procedure for programs manipulating dynamically allocated pointer structures. In contrast to SAT-based bounded model checking, we do not bound the size of the heap a priori, but allow for pointer structures of arbitrary size. Thus, we are doing bounded model checking of infinite state transition systems.

Original language | English |
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Title of host publication | Computer Science Logic |

Subtitle of host publication | 19th International Workshop, CSL 2005, 14th Annual Conference of the EACSL, Oxford, UK, August 22-25, 2005. Proceedings |

Editors | Luke Ong |

Pages | 397-412 |

Number of pages | 16 |

Volume | 3634 |

ISBN (Electronic) | 978-3-540-31897-2 |

DOIs | |

Publication status | Published - Aug 2005 |

Event | 19th International Workshop on Computer Science Logic ,and 14th Annual Conference of the EACSL - Oxford, United Kingdom Duration: 22 Aug 2005 → 25 Aug 2005 |

### Publication series

Name | Lecture Notes in Computer Science |
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Publisher | Springer Berlin Heidelberg |

Volume | 3634 |

ISSN (Print) | 0302-9743 |

### Conference

Conference | 19th International Workshop on Computer Science Logic ,and 14th Annual Conference of the EACSL |
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Abbreviated title | CSL 2005 |

Country/Territory | United Kingdom |

City | Oxford |

Period | 22/08/05 → 25/08/05 |

## Keywords

- decidable fragments
- pointer verification
- model checking