### Abstract

In informal mathematical usage we often reason using languages with binding. We usually find ourselves placing capture-avoidance constraints on where variables can and cannot occur free. We describe a logical derivation system which allows a direct formalisation of such assertions, along with a direct formalisation of their constraints. We base our logic on equality, probably the simplest available judgement form. In spite of this, we can axiomatise systems of logic and computation such as first-order logic or the lambda-calculus in a very direct and natural way. We investigate the theory of derivations, prove a suitable semantics sound and complete, and discuss existing and future research. © Springer-Verlag Berlin Heidelberg 2007.

Original language | English |
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Title of host publication | Logic, Language, Information and Computation - 14th International Workshop, WoLLIC 2007, Proceedings |

Pages | 162-176 |

Number of pages | 15 |

Volume | 4576 LNCS |

Publication status | Published - 2007 |

Event | 14th International Workshop on Logic, Language, Information and Computation - Rio de Janeiro, Brazil Duration: 2 Jul 2007 → 5 Jul 2007 |

### 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 | 4576 LNCS |

ISSN (Print) | 0302-9743 |

### Conference

Conference | 14th International Workshop on Logic, Language, Information and Computation |
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Abbreviated title | WoLLIC |

Country | Brazil |

City | Rio de Janeiro |

Period | 2/07/07 → 5/07/07 |

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## Cite this

*Logic, Language, Information and Computation - 14th International Workshop, WoLLIC 2007, Proceedings*(Vol. 4576 LNCS, pp. 162-176). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4576 LNCS).