First-Order Hybrid Logic: Introduction and Survey

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Abstract

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.
OriginalsprogEngelsk
TitelVolume of abstracts : Non-classical Modal and Predicate Logics
RedaktørerPetr Cintula, Shier Ju, Martin Víta
Udgivelses stedPrague
ForlagF solutions
Publikationsdato2011
Sider35-41
ISBN (Trykt)987-80-87465-00-4
StatusUdgivet - 2011
BegivenhedNon-classical Modal and Predicate Logics 2011 - Guangzhou, Canton, Kina
Varighed: 5 dec. 20119 dec. 2011

Konference

KonferenceNon-classical Modal and Predicate Logics 2011
LandKina
ByGuangzhou, Canton
Periode05/12/201109/12/2011

Bibliografisk note

Extended abstracts

Citer dette

Braüner, T. (2011). First-Order Hybrid Logic: Introduction and Survey. I P. Cintula, S. Ju, & M. Víta (red.), Volume of abstracts: Non-classical Modal and Predicate Logics (s. 35-41). F solutions. http://logic.sysu.edu.cn/Article/UploadFiles/201112/2011120509191420.pdf