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JSYML
2008
84views more  JSYML 2008»
13 years 4 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
FOSSACS
2006
Springer
13 years 8 months ago
A Finite Model Construction for Coalgebraic Modal Logic
In recent years, a tight connection has emerged between modal logic on the one hand and coalgebras, understood as generic transition systems, on the other hand. Here, we prove tha...
Lutz Schröder
AIML
2008
13 years 6 months ago
On axiomatising products of Kripke frames, part II
We generalise some results of [7, 5] and show that if L is an -modal logic (for some ordinal 3) such that (i) L contains the product logic K and (ii) the product of -many trees o...
Agi Kurucz
FOSSACS
2008
Springer
13 years 6 months ago
Beyond Rank 1: Algebraic Semantics and Finite Models for Coalgebraic Logics
Coalgebras provide a uniform framework for the semantics of a large class of (mostly non-normal) modal logics, including e.g. monotone modal logic, probabilistic and graded modal l...
Dirk Pattinson, Lutz Schröder
APAL
2010
97views more  APAL 2010»
13 years 5 months ago
A modal logic framework for reasoning about comparative distances and topology
We propose and investigate a uniform modal logic framework for reasoning about topology and relative distance in metric and more general distance spaces, thus enabling the compari...
Mikhail Sheremet, Frank Wolter, Michael Zakharyasc...