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The relation between intuitionistic and classical modal logics

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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.19590051405openalex-snapshot
Modal Logics Between S 4 and S 5
inferredcites →https://doi.org/10.1007/978-94-009-8937-5_5openalex-snapshot
Semantics for a Class of Intuitionistic Modal Calculi
inferredcites →https://doi.org/10.1007/bf00370331openalex-snapshot
Modal companions of intermediate propositional logics
inferredcites →https://doi.org/10.1007/bf01053021openalex-snapshot
A uniform tableau method for intuitionistic modal logics I
inferredcites →https://doi.org/10.1007/bf01463150openalex-snapshot
A lattice of normal modal logics
inferredcites →https://doi.org/10.1007/bf01699094openalex-snapshot
Ergebnisse eines mathematischen Kolloquiums
inferredcites →https://doi.org/10.1007/bf02121259openalex-snapshot
On modal logic with an intuitionistic base
inferredcites →https://doi.org/10.1007/bf02429840openalex-snapshot
Models for normal intuitionistic modal logics
inferredcites →https://doi.org/10.1016/0160-9327(82)90082-5openalex-snapshot
Classical propositional operators
inferredcites →https://doi.org/10.1016/s0049-237x(08)70728-6openalex-snapshot
Completeness and Correspondence in the First and Second Order Semantics for Modal Logic
inferredcites →https://doi.org/10.1017/s0004972700041186openalex-snapshot
Metamathematics of modal logic
inferredcites →https://doi.org/10.1093/oso/9780198537793.003.0002openalex-snapshot
Intuitionistic Logic
inferredcites →https://doi.org/10.2307/2270800openalex-snapshot
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…
inferredcites →https://doi.org/10.2307/2272340openalex-snapshot
Logics containing K4. Part I
inferredcites →https://doi.org/10.2307/2273696openalex-snapshot
Canonical modal logics and ultrafilter extensions
inferredcites →https://doi.org/10.2307/2273953openalex-snapshot
Intuitionistic tense and modal logic
inferredcites →https://doi.org/10.2307/2274318openalex-snapshot
Logics containing K4. Part II
inferredcites →https://doi.org/10.2307/2275372openalex-snapshot
Canonical formulas for K4. Part I: Basic results
inferredcites →https://doi.org/10.2977/prims/1195189604openalex-snapshot
On Some Intuitionistic Modal Logics
inferredcites →https://doi.org/10.2977/prims/1195193228openalex-snapshot
Some Results on the Intermediate Logics
inferredcites →https://doi.org/10.4467/20842589rmopenalex-snapshot
Reports on Mathematical Logic

What points at this work

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

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On the Finite Model Property of Intuitionistic Modal Logics over MIPC
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Effective Properties of Some First Order Intuitionistic Modal Logics
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The Došen Square Under Construction: A Tale of Four Modalities
inferred← citeshttps://doi.org/10.1007/978-3-031-43513-3_16openalex-snapshot
On Intuitionistic Diamonds (and Lack Thereof)
inferred← citeshttps://doi.org/10.1007/978-3-031-43513-3_17openalex-snapshot
CoNP Complexity for Combinations of Non-normal Modal Logics
inferred← citeshttps://doi.org/10.1007/978-3-031-43513-3_5openalex-snapshot
A New Calculus for Intuitionistic Strong Löb Logic: Strong Termination and Cut-Elimination, Formalised
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Lewisian Fixed Points I: Two Incomparable Constructions
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Algebras and Relational Frames for Gödel Modal Logic and Some of its Extensions
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Uniform Interpolation with Constructive Diamond
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Weak Monoidal DB Topos
inferred← citeshttps://doi.org/10.1007/978-94-017-0454-0_2openalex-snapshot
Advanced Modal Logic
inferred← citeshttps://doi.org/10.1007/978-94-017-2109-7_17openalex-snapshot
Intuitionistic Modal Logic
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On the Blok-Esakia Theorem
inferred← citeshttps://doi.org/10.1007/978-94-017-8860-1_8openalex-snapshot
Constructive Modalities with Provability Smack
inferred← citeshttps://doi.org/10.1007/s10469-023-09712-3openalex-snapshot
Normal Companions of Intuitionistic Modal Logics
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Deciding Regular Grammar Logics with Converse Through First-Order Logic
inferred← citeshttps://doi.org/10.1007/s11229-012-0168-xopenalex-snapshot
Discovering knowability: a semantic analysis
inferred← citeshttps://doi.org/10.1007/s11229-026-05790-9openalex-snapshot
FMP in classical and intuitionistic non-normal monotonic modal logic with transitivity
inferred← citeshttps://doi.org/10.1016/j.apal.2009.07.002openalex-snapshot
The universal modality, the center of a Heyting algebra, and the Blok–Esakia theorem
inferred← citeshttps://doi.org/10.1016/j.apal.2026.103743openalex-snapshot
Stable canonical rules for intuitionistic modal logics
inferred← citeshttps://doi.org/10.1016/j.entcs.2004.11.012openalex-snapshot
Algebra and Sequent Calculus for Epistemic Actions
inferred← citeshttps://doi.org/10.1016/j.indag.2017.10.003openalex-snapshot
Lewis meets Brouwer: Constructive strict implication
inferred← citeshttps://doi.org/10.1016/j.jal.2005.06.007openalex-snapshot
A general method for proving decidability of intuitionistic modal logics
inferred← citeshttps://doi.org/10.1016/j.jlamp.2016.10.006openalex-snapshot
Algebraic modal correspondence: Sahlqvist and beyond
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Complexity of finite-variable fragments of propositional temporal and modal logics of computation
inferred← citeshttps://doi.org/10.1016/s0049-237x(03)80019-8openalex-snapshot
Bibliography
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BLOK–ESAKIA THEOREMS VIA STABLE CANONICAL RULES
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On Logics with Coimplication
inferred← citeshttps://doi.org/10.1023/a:1004900300438openalex-snapshot
Simulation and Transfer Results in Modal Logic – A Survey
inferred← citeshttps://doi.org/10.1023/a:1004916107078openalex-snapshot
Superintuitionistic Companions of Classical Modal Logics
inferred← citeshttps://doi.org/10.1023/a:1005073905902openalex-snapshot
Varieties of Monadic Heyting Algebras. Part I
inferred← citeshttps://doi.org/10.1023/a:1005084328298openalex-snapshot
The Greatest Extension of S4 into which Intuitionistic Logic is Embeddable
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Speaking about Transitive Frames in Propositional Languages
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Concurrent Heyting algebras: an algebraic semantics for an intuitionistic modal logic
inferred← citeshttps://doi.org/10.1093/jigpal/jzr044openalex-snapshot
Which classical correspondence is valid in intuitionistic modal logic?
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Complexity of finite-variable fragments of products withK
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Epistemic Actions as Resources
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Propositional primal logic with disjunction
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Intuitionistic Modal Logic: A 15-year retrospective
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A bimodal perspective on possibility semantics
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Results in modal correspondence theory for possibility semantics
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Labeled Sequent Calculi for Access Control Logics: Countermodels, Saturation and Abduction
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Countermodels from Sequent Calculi in Multi-Modal Logics
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Gödel-McKinsey-Tarski and Blok-Esakia for Heyting-Lewis Implication
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Some constructive variants of S4 with the finite model property
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Semantical Analysis of Intuitionistic Modal Logics between CK and IK
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On classical behavior of intuitionistic modalities
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Undecidability of QLTL and QCTL with two variables and one monadic predicate letter
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Sahlqvist via Translation
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A Family of Decidable Bi-intuitionistic Modal Logics
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Possibility Frames and Forcing for Modal Logic
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Uniform Interpolation and Admissible Rules
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Distribution-Free Modal Logics: Sahlqvist–Van Benthem Correspondence
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Estudio de álgebras de Heyting débiles con operadores modales
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Ruitenburg's Theorem Mechanized and Contextualized
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Relational and neighborhood semantics for intuitionistic modal logic
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Canonicity and Relativized Canonicity via Pseudo-Correspondence: an Application of ALBA
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Goldblatt-Thomason Theorems for Modal Intuitionistic Logics
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Some constructive variants of S4 with the finite model property
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