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» Combinations of Modal Logics
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LOGCOM
2000
93views more  LOGCOM 2000»
13 years 7 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»
13 years 7 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
13 years 11 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
14 years 7 months 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»
13 years 7 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