by Lutz Schröder and Till Mossakowski
Abstract:
We propose to extend the algebraic-coalgebraic specification language CoCASL by full coalgebraic modal logic based on predicate liftings for functors. This logic is more general than the modal logic previously used in CoCASL and supports the specification of a variety of modal logics, such as graded modal logic, majority logic, and probabilistic modal logic. CoCASL thus becomes a modern modal language that covers a wide range of Kripke and non-Kripke semantics of modal logics via the coalgebraic interpretation.
Reference:
Lutz Schröder and Till Mossakowski: Coalgebraic Modal Logic in CoCASL, In José Luiz Fiadeiro, ed.: Recent Trends in Algebraic Development Techniques, 18th International Workshop, WADT 2006, Lecture Notes in Computer Science, vol. 4409, pp. 128–142, Springer, 2007. [preprint]
Bibtex Entry:
@InProceedings{SchroderMossakowski07,
author = {Lutz Schr{\"o}der and Till Mossakowski},
title = {Coalgebraic Modal Logic in CoCASL},
year = {2007},
editor = {Jos{\'e} Luiz Fiadeiro},
booktitle = {Recent Trends in Algebraic Development Techniques, 18th International Workshop, WADT 2006},
publisher = {Springer},
series = {Lecture Notes in Computer Science},
volume = {4409},
pages = {128-142},
keywords = {coalgebra CoCASL specification modal logic},
url = {http://dx.doi.org/10.1007/978-3-540-71998-4_8},
comment = { <a href = "http://www8.informatik.uni-erlangen.de/~schroeder/papers/cml-cocasl.pdf"> [preprint] </a>},
abstract = {We propose to extend the algebraic-coalgebraic specification language
CoCASL by full coalgebraic modal logic based on predicate liftings for
functors. This logic is more general than the modal logic previously
used in CoCASL and supports the specification of a variety of modal
logics, such as graded modal logic, majority logic, and probabilistic
modal logic. CoCASL thus becomes a modern modal language that covers a
wide range of Kripke and non-Kripke semantics of modal logics via the
coalgebraic interpretation.
},
}