Coalgebraic semantics of modal logics: An overview

C Kupke, D Pattinson - Theoretical Computer Science, 2011 - Elsevier
Coalgebras can be seen as a natural abstraction of Kripke frames. In the same sense,
coalgebraic logics are generalised modal logics. In this paper, we give an overview of the …

Expressivity of coalgebraic modal logic: The limits and beyond

L Schröder - Theoretical Computer Science, 2008 - Elsevier
Modal logic has a good claim to being the logic of choice for describing the reactive
behaviour of systems modelled as coalgebras. Logics with modal operators obtained from …

Modal logics are coalgebraic

C Cîrstea, A Kurz, D Pattinson, L Schröder… - The Computer …, 2011 - academic.oup.com
Applications of modal logics are abundant in computer science, and a large number of
structurally different modal logics have been successfully employed in a diverse spectrum of …

Linear-time temporal logics with Presburger constraints: an overview★

S Demri - Journal of Applied Non-Classical Logics, 2006 - Taylor & Francis
We present an overview of linear-time temporal logics with Presburger constraints whose
models are sequences of tuples of integers. Such formal specification languages are well …

EXPTIME tableaux for the coalgebraic mu-calculus

C Cîrstea, C Kupke, D Pattinson - Logical Methods in …, 2011 - lmcs.episciences.org
The coalgebraic approach to modal logic provides a uniform framework that captures the
semantics of a large class of structurally different modal logics, including eg graded and …

Generic trace semantics and graded monads

S Milius, D Pattinson, L Schröder - 6th Conference on Algebra …, 2015 - drops.dagstuhl.de
Abstract Models of concurrent systems employ a wide variety of semantics inducing various
notions of process equivalence, ranging from linear-time semantics such as trace …

COOL 2–a generic reasoner for modal fixpoint logics (system description)

O Görlitz, D Hausmann, M Humml, D Pattinson… - … on Automated Deduction, 2023 - Springer
There is a wide range of modal logics whose semantics goes beyond relational structures,
and instead involves, eg, probabilities, multi-player games, weights, or neighbourhood …

Instantial neighbourhood logic

J Van Benthem, N Bezhanishvili… - The Review of Symbolic …, 2017 - cambridge.org
This paper explores a new language of neighbourhood structures where existential
information can be given about what kind of worlds occur in a neighbourhood of a current …

A finite model construction for coalgebraic modal logic

L Schröder - The Journal of Logic and Algebraic Programming, 2007 - Elsevier
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 …

Simulations and bisimulations for coalgebraic modal logics

D Gorín, L Schröder - International Conference on Algebra and Coalgebra …, 2013 - Springer
Simulations serve as a proof tool to compare the behaviour of reactive systems. We define a
notion of Λ-simulation for coalgebraic modal logics, parametric in the choice of a set Λ of …