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Simplifying the modal mu-calculus alternation hierarchy

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-16066-3_15openalex-snapshot
Regular expressions for infinite trees and a standard form of automata
inferredcites →https://doi.org/10.1007/3-540-16761-7_96openalex-snapshot
On fixed-point clones
inferredcites →https://doi.org/10.1007/3-540-60922-9_33openalex-snapshot
Monadic second order logic on tree-like structures
inferredcites →https://doi.org/10.1007/978-1-4684-6819-9openalex-snapshot
Verifying Temporal Properties of Systems
inferredcites →https://doi.org/10.1016/0304-3975(82)90125-6openalex-snapshot
Results on the propositional μ-calculus
inferredcites →https://doi.org/10.1016/s0304-3975(97)00217-xopenalex-snapshot
The modal mu-calculus alternation hierarchy is strict
inferredcites →https://doi.org/10.1093/oso/9780198532132.001.0001openalex-snapshot
Models of Peano Arithmetic
inferredcites →https://doi.org/10.1093/oso/9780198537618.003.0005openalex-snapshot
Modal and Temporal Logics
inferredcites →https://doi.org/10.1109/sfcs.1991.185392openalex-snapshot
Tree automata, mu-calculus and determinacy
inferredcites →https://doi.org/10.2307/2275338openalex-snapshot
μ-definable sets of integers

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-45793-3_3openalex-snapshot
μ-Calculus via Games (Extended Abstract)
inferred← citeshttps://doi.org/10.1007/978-1-4757-3550-5_5openalex-snapshot
Modal Mu-Calculus
inferred← citeshttps://doi.org/10.1007/978-3-031-15298-6_13openalex-snapshot
The Alternation Hierarchy of the $$\mu $$-calculus over Weakly Transitive Frames
inferred← citeshttps://doi.org/10.1007/978-3-642-03092-5_5openalex-snapshot
A Playful Glance at Hierarchical Questions for Two-Way Alternating Automata
inferred← citeshttps://doi.org/10.1007/978-3-642-04027-6_18openalex-snapshot
Linear Game Automata: Decidable Hierarchy Problems for Stripped-Down Alternating Tree Automata
inferred← citeshttps://doi.org/10.1007/978-3-642-18090-3_16openalex-snapshot
Logiken auf unendlichen Bäumen
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On Topological Completeness of Regular Tree Languages
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Descriptive Set Theoretic Methods in Automata Theory Decidability and Topological Complexity
inferred← citeshttps://doi.org/10.1007/978-3-662-52947-8_5openalex-snapshot
Index Problems for Game Automata
inferred← citeshttps://doi.org/10.1007/978-3-662-53132-7_26openalex-snapshot
Unambiguous Büchi Is Weak
inferred← citeshttps://doi.org/10.1007/s00224-013-9461-4openalex-snapshot
On the Separation Question for Tree Languages
inferred← citeshttps://doi.org/10.1016/b978-044482830-9/50022-9openalex-snapshot
Modal Logics and mu-Calculi: An Introduction
inferred← citeshttps://doi.org/10.1016/j.ic.2006.05.001openalex-snapshot
The alternation hierarchy in fixpoint logic with chop is strict too
inferred← citeshttps://doi.org/10.1016/s0049-237x(01)80013-6openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/s1570-2464(07)80015-2openalex-snapshot
12 Modal mu-calculi
inferred← citeshttps://doi.org/10.1017/s0960129500003194openalex-snapshot
Mu-depth 3 is more than 2: a game-theoretic proof
inferred← citeshttps://doi.org/10.1051/ita:1999121openalex-snapshot
Theμ-calculus alternation-depth hierarchy is strict on binary trees
inferred← citeshttps://doi.org/10.1051/ita:1999122openalex-snapshot
Fixpoint alternation: arithmetic, transition systems, and the binary tree
inferred← citeshttps://doi.org/10.1051/ita:2003023openalex-snapshot
Domain mu-calculus
inferred← citeshttps://doi.org/10.1109/lics.2013.56openalex-snapshot
Rabin-Mostowski Index Problem: A Step beyond Deterministic Automata
inferred← citeshttps://doi.org/10.1145/2946800openalex-snapshot
Index Problems for Game Automata
inferred← citeshttps://doi.org/10.18154/rwth-conv-121030openalex-snapshot
Pure and applied fixed point logics
inferred← citeshttps://doi.org/10.36045/bbms/1102714178openalex-snapshot
Alternating tree automata, parity games, and modal {$\mu$}-calculus
inferred← citeshttps://doi.org/10.4230/lipics.icalp.2018.140openalex-snapshot
Unambiguous Languages Exhaust the Index Hierarchy
inferred← citeshttps://doi.org/10.4230/lipics.stacs.2009.1849openalex-snapshot
On the Borel Inseparability of Game Tree Languages
inferred← citeshttps://doi.org/10.46298/theoretics.24.12openalex-snapshot
From Muller to Parity and Rabin Automata: Optimal Transformations Preserving (History) Determinism
inferred← citeshttps://doi.org/10.48550/arxiv.1401.4025openalex-snapshot
Unambiguous Buchi is weak
inferred← citeshttps://doi.org/10.70675/660020c0z10a3z4b40zac0ez5871de2a15ecopenalex-snapshot
Structural properties of automata over infinite words and memory for games
inferred← citeshttps://doi.org/10.70675/ab8c4538zf338z4b1dzb5c4z539a6179abc8openalex-snapshot
A study on the expressive power of some fragments of the modal µ-calculus
inferred← citeshttps://doi.org/10.70930/tac/mhxqkgguopenalex-snapshot
The alternation hierarchy for the theory of μ-lattices
inferred← citeshttps://doi.org/10.7146/brics.v5i53.19499openalex-snapshot
Fixpoint Alternation: Arithmetic, Transition Systems, and the Binary Tree
inferred← citeshttps://doi.org/10.7146/brics.v7i29.20163openalex-snapshot
The Alternation Hierarchy for the Theory of mu-lattices
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