Why Does Propositional Quantification Make Modal and Temporal Logics on Trees Robustly Hard?

Adding propositional quantification to the modal logics K, T or S4 is known to lead to undecidability but CTL with propositional quantification under the tree semantics (tQCTL) admits a non-elementary Tower-complete satisfiability problem. We investigate the complexity of strict fragments of tQCTL a...

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Bibliographic Details
Main Authors: Bartosz Bednarczyk, Stéphane Demri
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2022-07-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/7409/pdf