[PDF][PDF] Local model checking in the modal mu-calculus

C Stirling, D Walker - Theoretical Computer Science, 1991 - core.ac.uk
The modal mu-calculus, due to Pratt and Kozen [12, 8], is a natural extension of dynamic
logic. It is also one method of obtaining a branching time temporal logic from a modal logic …

Local model checking in the modal mu-calculus

C Stirling, D Walker - Colloquium on Trees in Algebra and Programming, 1989 - Springer
The modal mu-calculus, due to Pratt and Kozen [Pr, Ko], is a natural extension of dynamic
logic. It is also one method of obtaining a branching time temporal logic from a modal logic …

A linear-time model-checking algorithm for the alternation-free modal mu-calculus

R Cleaveland, B Steffen - … Verification: 3rd International Workshop, CAV'91 …, 1992 - Springer
We develop a model-checking algorithm for a logic that permits propositions to be defined
with greatest and least fixed points of mutually recursive systems of equations. This logic is …

Local model checking for infinite state spaces

J Bradfield, C Stirling - Theoretical Computer Science, 1992 - Elsevier
We present a sound and complete tableau proof system for establishing whether a set of
elements of an arbitrary transition system model has a property expressed in (a slight …

Modal logics and mu-calculi: an introduction

J Bradfield, C Stirling - Handbook of process algebra, 2001 - Elsevier
We briefly survey the background and history of modal and temporal logics. We then
concentrate on the modal mu-calculus, a modal logic which subsumes most other commonly …

A linear-time model-checking algorithm for the alternation-free modal mu-calculus

R Cleaveland, B Steffen - Formal methods in system design, 1993 - Springer
We develop a model-checking algorithm for a logic that permits propositions to be defined
using greatest and least fixed points of mutually recursive systems of equations. This logic is …

Model checking for context-free processes

O Burkart, B Steffen - International Conference on Concurrency Theory, 1992 - Springer
We develop a model-checking algorithm that decides for a given context-free process
whether it satisfies a property written in the alternation-free modal mu-calculus. The central …

Efficient local model-checking for fragments of the modal μ-calculus

G Bhat, R Cleaveland - International Workshop on Tools and Algorithms …, 1996 - Springer
This paper develops efficient local model-checking algorithms for expressive fragments of
the modal Μ-calculus. The time complexity of our procedures matches that of the best …

A note on model checking the modal ν-calculus

G Winskel - Theoretical Computer Science, 1991 - Elsevier
This note presents a straightforward algorithm for checking whether or not a state of a
labelled transition system satisfies an assertion in the modal ν-calculus and μ-calculus. The …

Computing behavioural relations, logically

R Cleaveland, B Steffen - … International Colloquium Madrid, Spain, July 8 …, 1991 - Springer
This paper develops a model-checking algorithm for a fragment of the modal mu-calculus
and shows how it may be applied to the efficient computation of behavioral relations …