| Publication type: |
Article in Proceedings |
| Author: |
Lutz Schröder, Dirk Pattinson |
| Editor: |
Andreas Dengel, Karsten Berns, Thomas Breuel, Frank Bomarius, Thomas Roth-Berghofer |
| Title: |
Shallow models for non-iterative modal logics |
| Book / Collection title: |
Advances in Artificial Intelligence (KI 2008) |
| Volume: |
5243 |
| Page(s): |
324 – 331 |
| Series: |
Lecture Notes in Artificial Intelligence |
| Year published: |
2008 |
| Publisher: |
Springer |
| Abstract: |
Modal logics see a wide variety of applications in artificial
intelligence, e.g. in reasoning about knowledge, belief,
uncertainty, agency, defaults, and relevance. From the perspective of applications, the attractivity of modal logics stems from a combination of expressive power and comparatively low computational complexity. Compared to the classical treatment of modal logics with relational semantics, the use of modal logics in AI has two characteristic traits: Firstly, a large and growing variety of logics is used, adapted to the concrete situation at hand, and secondly, these logics are often non-normal. Here, we present a shallow model construction that witnesses PSPACE bounds for a broad class of mostly non-normal modal logics. Our approach is uniform and generic: we present general criteria that uniformly apply to and are easily checked in large numbers of examples. Thus, we not only re-prove known complexity bounds for a wide variety of structurally different logics and obtain previously unknown PSPACE-bounds, e.g. for Elgesem's logic of agency, but also lay the foundations upon which the complexity of newly emerging logics can be determined.
|
| Internet: |
http://dx.doi.org/10.1007/978-3-540-85845-4_40 |
| PDF Version: |
http://www.informatik.uni-bremen.de/~lschrode/papers/nonitPSP.pdf |
| Keywords: |
Modal logic coalgebra agent shallow model PSPACE decision procedures |
| Note / Comment: |
Full version available as e-print arXiv:0802.0116 |
| Status: |
Reviewed |
| Last updated: |
07. 10. 2008 |
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