Title
On the complexity of hybrid logics with binders
Abstract
Hybrid logic refers to a group of logics lying between modal and first-order logic in which one can refer to individual states of the Kripke structure. In particular, the hybrid logic HL(@, ↓ ) is an appealing extension of modal logic that allows one to refer to a state by means of the given names and to dynamically create new names for a state. Unfortunately, as for the richer first-order logic, satisfiability for the hybrid logic HL(@, ↓ ) is undecidable and model checking for HL(@, ↓ ) is PSpace-complete. We carefully analyze these results and we isolate large fragments of HL(@, ↓ ) for which satisfiability is decidable and model checking is below PSpace.
Year
DOI
Venue
2005
10.1007/11538363_24
CSL
Keywords
Field
DocType
modal logic,model checking,large fragment,richer first-order logic,appealing extension,individual state,hybrid logic,new name,first-order logic,kripke structure
Hybrid logic,Discrete mathematics,Normal modal logic,Computer science,Multimodal logic,Decidability,First-order logic,Modal logic,Dynamic logic (modal logic),Intermediate logic
Conference
Volume
ISSN
ISBN
3634
0302-9743
3-540-28231-9
Citations 
PageRank 
References 
35
1.33
14
Authors
2
Name
Order
Citations
PageRank
Balder Ten Cate163051.21
Massimo Franceschet265839.91