Advances in Modal Logic, Volume 4

@inproceedings{Kurucz2001AdvancesIM,
  title={Advances in Modal Logic, Volume 4},
  author={Agi Kurucz and Michael Zakharyaschev},
  year={2001}
}
Building on work by Schild, De Giacomo and Lenzerini, we establish a tight connection between description logics and hybrid logics. The main aim of the paper is to provide a modal perspective on some of the distinguishing features of description logic. In particular, by working in a hybrid logic setting we are able to develop a model-theoretic understanding of both assertional and terminological information. We also show how to use the connection between description and hybrid logics to… 

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References

SHOWING 1-10 OF 100 REFERENCES

Boosting the Correspondence between Description Logics and Propositional Dynamic Logics

TLDR
This paper derives decidability and complexity results for some of the most expressive logics appeared in the literature, and from the standpoint of PDLs, derives a general methodology for the representation of several forms of program determinism and for the specification of partial computations.

Natural Deduction for Non-Classical Logics

TLDR
This work decomposes a logic into two interacting parts: a base logic of labelled formulae, and a theory of labels characterizing the properties of the Kripke models, and captures both partial and complete fragments of large families of non-classical logics such as modal, relevance, and intuitionistic logics.

Why are Modal Logics so Robustly Decidable?

TLDR
The question to identify the main reasons for the robust decidabil-ity properties of modal logics is discussed in the light of recent research on guarded fragments of rst-order logic and xed point logic.

Generalizing the Modal and Temporal Logic of Linear Time

TLDR
This paper generalizes two fundamental systems modelling the flow of time: the modal logic S4.3 and propositional linear time temporal logic to consider a whole set of states instead of only a single one at every time, and gets a basic formalism expressing a distinguished dynamic aspect of sets, growing.

Expressiveness of Concept Expressions in First-Order Description Logics

A New Method for Bounding the Complexity of Modal Logics

We present a new proof-theoretic approach to bounding the complexity of the decision problem for propositional modal logics. We formalize logics in a uniform way as sequent systems and then restrict

Labelled deduction for the guarded fragment

TLDR
This tableau calculus LC 2-TAB is a labelled deduction calculus in the spirit of those for modal S5 which is sound and complete with respect to local square modal logic and strong enough to decide an interesting PSPACE complete sub-fragment of the guarded fragment.

Hybrid logics: characterization, interpolation and complexity

TLDR
It is shown that (↓, @) enjoys (strong) interpolation, provide counterexamples for its finite variable fragments, and show that weak interpolation holds for the sublanguage (@).

Formalizing Action and Change in Modal Logic I: the frame problem

TLDR
This paper presents the basic framework of a logic of actions and plans in terms of modal logic combined with a notion of dependence, and gives the semantics and associate an axiomatics and a decision procedure to it.

A Road-Map on Complexity for Hybrid Logics

TLDR
A general expressivity result is proved showing that even the weak form of binding offered by the ↓ operator easily leads to undecidability in hybrid languages in which it is possible to bind nominals.
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