L. Alberucci & A. Facchini (2009):
The modal μ-calculus over restricted classes of transition systems.
Journal of Symbolic Logic 74(4),
pp. 1367–1400,
doi:10.2178/jsl/1254748696.
H. R. Andersen (1994):
A Polyadic Modal μ-Calculus.
Technical Report ID-TR: 1994-195.
Dept. of Computer Science, Technical University of Denmark, Copenhagen,
doi:10.1.1.42.1859.
A. Arnold (1999):
The modal μ-calculus alternation hierarchy is strict on binary trees.
RAIRO - Theoretical Informatics and Applications 33,
pp. 329–339,
doi:10.1051/ita:1999121.
J. Bradfield & C. Stirling (2001):
Modal logics and μ-calculi: an introduction.
In: J. Bergstra, A. Ponse & S. Smolka: Handbook of Process Algebra.
Elsevier,
pp. 293–330,
doi:10.1016/B978-044482830-9/50022-9.
J. Bradfield & C. Stirling (2007):
Modal mu-calculi.
In: P. Blackburn, J. van Benthem & F. Wolter: Handbook of Modal Logic: Studies in Logic and Practical Reasoning Volume 3.
Elsevier,
pp. 721–756,
doi:10.1016/S1570-2464(07)80015-2.
J. C. Bradfield (1996):
The Modal μ-calculus Alternation Hierarchy Is Strict.
In: Proc. 7th Conf. on Concurrency Theory, CONCUR'96,
LNCS 1119.
Springer,
pp. 233–246,
doi:10.1007/3-540-61604-7_58.
J. C. Bradfield (1999):
Fixpoint Alternation: Arithmetic, Transition Systems, and the Binary Tree.
RAIRO - Theoretical Informatics and Applications 33(4/5),
pp. 341–356,
doi:10.1051/ita:1999122.
G. D'Agostino & Giacomo Lenzi (2010):
On the μ-calculus over transitive and finite transitive frames.
Theoretical Computer Science 411(50),
pp. 4273–4290,
doi:10.1016/j.tcs.2010.09.002.
E. A. Emerson & C. L. Lei (1986):
Efficient Model Checking in Fragments of the Propositional μ–Calculus.
In: Symposion on Logic in Computer Science.
IEEE,
Washington, D.C., USA,
pp. 267–278.
M. Grohe (1996):
Arity hierarchies.
Annals of Pure and Applied Logic 82(2),
pp. 103–163,
doi:10.1016/0168-0072(95)00072-0.
J. Gutierrez, F. Klaedtke & M. Lange (2014):
The μ-Calculus Alternation Hierarchy Collapses over Structures with Restricted Connectivity.
Theoretical Computer Science 560(3),
pp. 292–306,
doi:10.1016/j.tcs.2014.03.027.
N. Immerman (1986):
Relational Queries Computable in Polynomial Time.
Information and Control 68(1–3),
pp. 86–104,
doi:10.1016/S0019-9958(86)80029-8.
B. Knaster (1928):
Un théorèm sur les fonctions d'ensembles.
Annals Soc. Pol. Math 6,
pp. 133–134.
D. Kozen (1982):
Results on the Propositional μ-Calculus.
In: Proc. 9th Int. Coll. on Automata, Languages and Programming, ICALP'82,
LNCS 140.
Springer,
pp. 348–359,
doi:10.1007/BFb0012782.
M. Lange & E. Lozes (2012):
Model Checking the Higher-Dimensional Modal μ-Calculus.
In: Proc. 8th Workshop on Fixpoints in Computer Science, FICS'12,
Electr. Proc. in Theor. Comp. Sc. 77,
pp. 39–46,
doi:10.4204/EPTCS.77.
M. Lange, E. Lozes & M. Vargas Guzmán (2014):
Model-Checking Process Equivalences.
Theoretical Computer Science 560,
pp. 326–347,
doi:10.1016/j.tcs.2014.08.020.
G. Lenzi (1996):
A Hierarchy Theorem for the μ-Calculus.
In: Proc. 23rd Int. Coll. on Automata, Languages and Programming, ICALP'96,
LNCS 1099.
Springer,
pp. 87–97,
doi:10.1007/3-540-61440-0_119.
D. Niwiński (1988):
Fixed Points vs. Infinite Generation.
In: Proc. 3rd Ann. Symp. on Logic in Computer Science, LICS'88.
IEEE Computer Society,
pp. 402–409.
M. Otto (1999):
Bisimulation-invariant PTIME and higher-dimensional μ-calculus.
Theor. Comput. Sci. 224(1–2),
pp. 237–265,
doi:10.1016/S0304-3975(98)00314-4.
C. Stirling (1995):
Local Model Checking Games.
In: Proc. 6th Conf. on Concurrency Theory, CONCUR'95,
LNCS 962.
Springer,
pp. 1–11,
doi:10.1007/3-540-60218-6_1.
C. Stirling (1996):
Games and Modal μ-Calculus.
In: T. Margaria & B. Steffen: Proc. 2nd Int. Workshop on Tools and Algorithms for the Construction and Analysis of Systems, TACAS'96,
LNCS 1055.
Springer,
pp. 298–312,
doi:10.1007/3-540-61042-1_51.
A. Tarski (1955):
A Lattice-theoretical Fixpoint Theorem and its Application.
Pacific Journal of Mathematics 5,
pp. 285–309,
doi:10.2140/pjm.1955.5.285.
M. Y. Vardi (1982):
The Complexity of Relational Query Languages (Extended Abstract).
In: Proc. 14th Symp. on Theory of Computing, STOC'82.
ACM,
San Francisco, CA, USA,
pp. 137–146,
doi:10.1145/800070.
I. Walukiewicz (2002):
Monadic second-order logic on tree-like structures.
Theor. Comput. Sci 275(1-2),
pp. 311–346,
doi:10.1016/S0304-3975(01)00185-2.