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» Combinations of Modal Logics
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LOGCOM
2000
93views more  LOGCOM 2000»
14 years 11 months ago
The product of converse PDL and polymodal K
The product of two modal logics L1 and L2 is the modal logic determined by the class of frames of the form FG such that F and G validate L1 and L2, respectively. This paper proves...
Frank Wolter
JSYML
2008
84views more  JSYML 2008»
14 years 11 months ago
The modal logic of affine planes is not finitely axiomatisable
We consider a modal language for affine planes, with two sorts of formulas (for points and lines) and three modal boxes. To evaluate formulas, we regard an affine plane as a Kripke...
Ian Hodkinson, Altaf Hussain
AISC
1998
Springer
15 years 4 months ago
Bertrand Russell, Herbrand's Theorem, and the Assignment Statement
While propositional modal logic is a standard tool, first-order modal logic is not. Indeed, it is not generally understood that conventional first-order syntax is insufficiently ex...
Melvin Fitting
POPL
2006
ACM
16 years 1 days ago
A fixpoint calculus for local and global program flows
We define a new fixpoint modal logic, the visibly pushdown ?-calculus (VP-?), as an extension of the modal ?-calculus. The models of this logic are execution trees of structured p...
Rajeev Alur, Swarat Chaudhuri, P. Madhusudan
APAL
2005
154views more  APAL 2005»
14 years 11 months ago
A Sahlqvist theorem for distributive modal logic
In this paper we consider distributive modal logic, a setting in which we may add modalities, such as classical types of modalities as well as weak forms of negation, to the fragm...
Mai Gehrke, Hideo Nagahashi, Yde Venema