### Abstract

What is less obvious is that the route hybrid logic takes to overcome this problem often actually improves the behaviour of the underlying modal formalism. For example, it becomes far simpler to formulate proof-systems for hybrid logic, and completeness results can be proved of a generality that is simply not available in modal logic. That is, hybridization is a systematic way of remedying a number of known deficiencies of modal logic.

First-order hybrid logic is obtained by adding first-order machinery to propositional hybrid logic, or equivalently, by adding hybrid-logical machinery to first-order modal logic.

In this short paper we introduce first-order hybrid logic and we give a survey of work in the area.

Original language | English |
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Title of host publication | Volume of abstracts : Non-classical Modal and Predicate Logics |

Editors | Petr Cintula, Shier Ju, Martin Víta |

Place of Publication | Prague |

Publisher | F solutions |

Publication date | 2011 |

Pages | 35-41 |

ISBN (Print) | 987-80-87465-00-4 |

Publication status | Published - 2011 |

Event | Non-classical Modal and Predicate Logics 2011 - Guangzhou, Canton, China Duration: 5 Dec 2011 → 9 Dec 2011 |

### Conference

Conference | Non-classical Modal and Predicate Logics 2011 |
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Country | China |

City | Guangzhou, Canton |

Period | 05/12/2011 → 09/12/2011 |

### Cite this

*Volume of abstracts: Non-classical Modal and Predicate Logics*(pp. 35-41). Prague: F solutions.

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*Volume of abstracts: Non-classical Modal and Predicate Logics.*F solutions, Prague, pp. 35-41, Guangzhou, Canton, China, 05/12/2011.

**First-Order Hybrid Logic : Introduction and Survey.** / Braüner, Torben.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - First-Order Hybrid Logic

T2 - Introduction and Survey

AU - Braüner, Torben

N1 - Extended abstracts

PY - 2011

Y1 - 2011

N2 - Hybrid logic is an extension of modal logic which allows us to refer explicitly to points of the model in the syntax of formulas. It is easy to justify interest in hybrid logic on applied grounds, with the usefulness of the additional expressive power. For example, when reasoning about time one often wants to build up a series of assertions about what happens at a particular instant, and standard modal formalisms do not allow this. What is less obvious is that the route hybrid logic takes to overcome this problem often actually improves the behaviour of the underlying modal formalism. For example, it becomes far simpler to formulate proof-systems for hybrid logic, and completeness results can be proved of a generality that is simply not available in modal logic. That is, hybridization is a systematic way of remedying a number of known deficiencies of modal logic. First-order hybrid logic is obtained by adding first-order machinery to propositional hybrid logic, or equivalently, by adding hybrid-logical machinery to first-order modal logic. In this short paper we introduce first-order hybrid logic and we give a survey of work in the area.

AB - Hybrid logic is an extension of modal logic which allows us to refer explicitly to points of the model in the syntax of formulas. It is easy to justify interest in hybrid logic on applied grounds, with the usefulness of the additional expressive power. For example, when reasoning about time one often wants to build up a series of assertions about what happens at a particular instant, and standard modal formalisms do not allow this. What is less obvious is that the route hybrid logic takes to overcome this problem often actually improves the behaviour of the underlying modal formalism. For example, it becomes far simpler to formulate proof-systems for hybrid logic, and completeness results can be proved of a generality that is simply not available in modal logic. That is, hybridization is a systematic way of remedying a number of known deficiencies of modal logic. First-order hybrid logic is obtained by adding first-order machinery to propositional hybrid logic, or equivalently, by adding hybrid-logical machinery to first-order modal logic. In this short paper we introduce first-order hybrid logic and we give a survey of work in the area.

M3 - Article in proceedings

SN - 987-80-87465-00-4

SP - 35

EP - 41

BT - Volume of abstracts

A2 - Cintula, Petr

A2 - Ju, Shier

A2 - Víta, Martin

PB - F solutions

CY - Prague

ER -