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Temporal logics with “the next” operator do not have interpolation or the Beth property

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What this work says

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

inferredcites →https://doi.org/10.1002/malq.19820281302openalex-snapshot
Eine Logik Erster Stufe mit Einem Infinitären Zeitoperator
inferredcites →https://doi.org/10.1002/malq.19870330506openalex-snapshot
Sequential Calculus for a First Order Infinitary Temporal Logic
inferredcites →https://doi.org/10.1007/bfb0025786openalex-snapshot
Synthesis of communicating processes from Temporal Logic specifications
inferredcites →https://doi.org/10.1007/bfb0025789openalex-snapshot
Nonstandard Dynamic Logic
inferredcites →https://doi.org/10.1016/s1385-7258(53)50042-3openalex-snapshot
On Padoa’s Method in the Theory of Definition
inferredcites →https://doi.org/10.1145/357233.357237openalex-snapshot
Synthesis of Communicating Processes from Temporal Logic Specifications
inferredcites →https://doi.org/10.2307/2963594openalex-snapshot
Three uses of the Herbrand-Gentzen theorem in relating model theory and proof theory

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-319-27644-1_14openalex-snapshot
Systems of Temporal Logic for a Use of Engineering. Toward a More Practical Approach
inferred← citeshttps://doi.org/10.1007/978-3-319-97879-6_16openalex-snapshot
(Heterogeneous) Structured Specifications in Logics Without Interpolation
inferred← citeshttps://doi.org/10.1007/978-3-540-75560-9_2openalex-snapshot
On the Notion of Vacuous Truth
inferred← citeshttps://doi.org/10.1007/978-3-642-04027-6_22openalex-snapshot
Craig Interpolation for Linear Temporal Languages
inferred← citeshttps://doi.org/10.1007/978-94-007-0485-5_2openalex-snapshot
Interpolation and Definability
inferred← citeshttps://doi.org/10.1007/s11229-008-9359-xopenalex-snapshot
Interpolation in non-classical logics
inferred← citeshttps://doi.org/10.1007/s11704-017-7036-2openalex-snapshot
A divide & conquer approach to liveness model checking under fairness & anti-fairness assumptions
inferred← citeshttps://doi.org/10.1016/j.entcs.2020.10.002openalex-snapshot
A Note on Constructive Interpolation for the Multi-Modal Logic K
inferred← citeshttps://doi.org/10.1016/j.ipl.2009.02.011openalex-snapshot
Common knowledge does not have the Beth property
inferred← citeshttps://doi.org/10.1017/9781316755785.009openalex-snapshot
Decidable properties of logical calculi and of varieties of algebras
inferred← citeshttps://doi.org/10.1093/logcom/exag040openalex-snapshot
Applications of discrete-time interval-based temporal separation
inferred← citeshttps://doi.org/10.4467/20842589rm.15.001.3910openalex-snapshot
Interpolation theorems for some variants of LTL
inferred← citeshttps://doi.org/10.48550/arxiv.2103.01671openalex-snapshot
Focus-style proof systems and interpolation for the alternation-free $μ$-calculus
inferred← citeshttps://doi.org/10.70675/13c111fcz053bz4172zaa9bz11f63cfef49fopenalex-snapshot
Temporal planning with fuzzy constraints and preferences
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