### Abstract

This paper is an initial step in the development of a logic for verifying properties of programs in rewriting logic. Rewriting logic is primarily a logic of change, in which deduction corresponds directly to computation, and not a logic to talk about change in a more indirect and global manner, such as the different modal and temporal logics that can be found in the literature. We start by defining a modal action logic (VLRL) in which rewrite rules are captured as actions. The main novelty of this logic is a topological modality associated with state constructors that allows us to reason about the structure of states, stating that the current state can be decomposed into regions satisfying certain properties. Then, on top of the modal logic, we define a temporal logic for reasoning about properties of the computations generated from rewrite theories, and demonstrate its potential by means of two simple examples.

Original language | English |
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Title of host publication | Recent Trends in Algebraic Development Techniques - 14th International Workshop, WADT 1999, Selected Papers |

Editors | Didier Bert, Christine Choppy, Peter Mosses |

Publisher | Springer Verlag |

Pages | 438-458 |

Number of pages | 21 |

Volume | 1827 |

ISBN (Print) | 3540678980, 9783540678984 |

Publication status | Published - 2000 |

Event | 14th International Workshop on Algebraic Development Techniques, WADT 1999 - Chateau de Bonas, France Duration: 15 Sep 1999 → 18 Sep 1999 |

### 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 | 1827 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 14th International Workshop on Algebraic Development Techniques, WADT 1999 |
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Country | France |

City | Chateau de Bonas |

Period | 15/09/99 → 18/09/99 |

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## Cite this

*Recent Trends in Algebraic Development Techniques - 14th International Workshop, WADT 1999, Selected Papers*(Vol. 1827, pp. 438-458). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1827). Springer Verlag.