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A cut-free sequent system for Grzegorczyk logic, with an application to the Gödel–McKinsey–Tarski embedding

https://doi.org/10.1093/logcom/ext036
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What this work says

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

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Modal Logics Between S 4 and S 5
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On the Proof Theory of the Modal Logic Grz
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A note on Grzegorczyk's logic
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Provability as Modality
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Modal tableau calculi and interpolation
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The modal logic of provability: Cut-elimination
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Provability, truth, and modal logic
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The modal logic of provability. The sequential approach
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On superintuitionistic logics as fragments of proof logic extensions
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Ein System des Verknüpfenden Schliessens
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Ninth All-Union Conference on Soil Stabilization and Compaction
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Provability interpretations of modal logic
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Proof analysis in intermediate logics
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Contraction-free sequent calculi for geometric theories with an application to Barr's theorem
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Proof Analysis in Modal Logic
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Structural Proof Theory
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Proof analysis in non-classical logics
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The Logic of Provability
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The Unprovability of Consistency
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Proof Analysis
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Basic Proof Theory
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Noetherian orders
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Modal Logic
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Arithmetical necessity, provability and intuitionistic logic
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On systems of modal logic with provability interpretations
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The Embedding Theorem: Its Further Developments and Consequences. Part 1
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Some theorems about the sentential calculi of Lewis and Heyting
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M. A. E. Dummett and E. J. Lemmon. Modal logics between S4 and S5. Zeitschrift für mathematische Logik und Grundlagen der Mathematik, vol. 5 (1959), pp. 250–264. - Iwao Nishimura. On formulas of one variable in intuitionistic propositional calculus. The journal of symbolic logic, vol. 25 No. 4…
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On modal systems having arithmetical interpretations
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Contraction-free sequent calculi for intuitionistic logic
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Kurt Schütte. Ein System des verknüpfenden Schließens. Archiv für mathematische Logik und Grundlagenforschung, Bd. 2 Heft 2–4, (1956) S. 34–67; auch Archiv für Philosophie, Bd. 5 Heft 4 (1956), S. 375–387.
inferredcites →https://doi.org/10.2307/420956openalex-snapshot
Cut Elimination in the Presence of Axioms
inferredcites →https://doi.org/10.4064/fm-106-1-41-45openalex-snapshot
Provability in arithmetic and a schema of Grzegorczyk
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Some relational systems and the associated topological spaces

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-032-32589-1_25openalex-snapshot
Growing HOLMS: A Verified Automated Prover for Grzegorczyk Logic in HOL Light
inferred← citeshttps://doi.org/10.1007/978-3-642-40537-2_2openalex-snapshot
On the Duality of Proofs and Countermodels in Labelled Sequent Calculi
inferred← citeshttps://doi.org/10.1007/978-3-662-55386-2_23openalex-snapshot
Cut-Elimination for the Modal Grzegorczyk Logic via Non-well-founded Proofs
inferred← citeshttps://doi.org/10.1007/978-3-662-59533-6_34openalex-snapshot
Cut Elimination for the Weak Modal Grzegorczyk Logic via Non-well-Founded Proofs
inferred← citeshttps://doi.org/10.1007/s00153-011-0254-7openalex-snapshot
Proof analysis in intermediate logics
inferred← citeshttps://doi.org/10.1007/s10670-024-00823-6openalex-snapshot
Beyond Semantic Pollution: Towards a Practice-Based Philosophical Analysis of Labelled Calculi
inferred← citeshttps://doi.org/10.1007/s10992-025-09808-4openalex-snapshot
Exploring Jaśkowski’s Discussive Logic
inferred← citeshttps://doi.org/10.1007/s11229-017-1331-1openalex-snapshot
The intensional side of algebraic-topological representation theorems
inferred← citeshttps://doi.org/10.1007/s11787-014-0097-1openalex-snapshot
Proofs and Countermodels in Non-Classical Logics
inferred← citeshttps://doi.org/10.1016/j.apal.2023.103285openalex-snapshot
The Gödel-McKinsey-Tarski embedding for infinitary intuitionistic logic and its extensions
inferred← citeshttps://doi.org/10.1017/s1755020315000295openalex-snapshot
PROOF ANALYSIS FOR LEWIS COUNTERFACTUALS
inferred← citeshttps://doi.org/10.1017/s1755020319000510openalex-snapshot
NON-WELL-FOUNDED PROOFS FOR THE GRZEGORCZYK MODAL LOGIC
inferred← citeshttps://doi.org/10.1093/jigpal/jzad029openalex-snapshot
Constructive theories through a modal lens
inferred← citeshttps://doi.org/10.1093/logcom/exu037openalex-snapshot
Proof analysis beyond geometric theories: from rule systems to systems of rules
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