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Generalized rules for quantifiers and the completeness of the intuitionistic operators &, ν, ⊃, λ, ∀, ε

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What this work says

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

inferredcites →https://doi.org/10.1007/10992.1573-0433openalex-snapshot
Journal of Philosophical Logic
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Mathematische Gesetze der Logik I
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Einführung in die Operative Logik und Mathematik
inferredcites →https://doi.org/10.1007/bf00245941openalex-snapshot
The adequacy problem for inferential logic
inferredcites →https://doi.org/10.1007/bf01201353openalex-snapshot
Untersuchungen �ber das logische Schlie�en. I
inferredcites →https://doi.org/10.1007/bf01969697openalex-snapshot
Ein verallgemeinerter Widerlegungsbegriff für Gentzenkalküle
inferredcites →https://doi.org/10.1007/bf02126736openalex-snapshot
On proper quantifiers I
inferredcites →https://doi.org/10.1016/0003-4843(82)90003-1openalex-snapshot
Recursive models for constructive set theories
inferredcites →https://doi.org/10.1016/s0049-237x(09)70361-1openalex-snapshot
Towards A Foundation of A General Proof Theory
inferredcites →https://doi.org/10.1017/cbo9780511565687openalex-snapshot
Multiple-Conclusion Logic
inferredcites →https://doi.org/10.1093/oso/9780198505242.001.0001openalex-snapshot
Elements of Intuitionism
inferredcites →https://doi.org/10.1098/rsta.1984.0073openalex-snapshot
Constructive mathematics and computer programming
inferredcites →https://doi.org/10.2307/2183653openalex-snapshot
Logic: Techniques of Formal Reasoning.
inferredcites →https://doi.org/10.2307/2219541openalex-snapshot
Multiple Conclusion Logic.

What points at this work

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

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Proof-theoretic Validity and the Completeness of Intuitionistic Logic
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Languages of Grounding
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Prawitz, Proofs, and Meaning
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Meaning in Use
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Inversion Principles and Introduction Rules
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Generalized Elimination Inferences, Higher-Level Rules, and the Implications-as-Rules Interpretation of the Sequent Calculus
inferred← citeshttps://doi.org/10.1007/978-94-009-5203-4_8openalex-snapshot
Proof Theory and Meaning
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Proof Theory and Meaning
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The foundation of a generic theorem prover
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Set theory for verification. II: Induction and recursion
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The Calculus of Higher-Level Rules, Propositional Quantification, and the Foundational Approach to Proof-Theoretic Harmony
inferred← citeshttps://doi.org/10.1007/s11225-014-9564-1openalex-snapshot
Gentzen and Jaśkowski Natural Deduction: Fundamentally Similar but Importantly Different
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Denotational Semantics for Languages of Epistemic Grounding Based on Prawitz’s Theory of Grounds
inferred← citeshttps://doi.org/10.1007/s11229-004-6296-1openalex-snapshot
Validity Concepts in Proof-theoretic Semantics
inferred← citeshttps://doi.org/10.1007/s11229-023-04203-5openalex-snapshot
The proof-theoretic square
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Problems of a proof-theoretic characterization of paradoxes
inferred← citeshttps://doi.org/10.1016/0096-0551(86)90009-3openalex-snapshot
Program derivation in type theory: A partitioning problem
inferred← citeshttps://doi.org/10.1016/s0304-3975(00)00355-8openalex-snapshot
Least and greatest fixed points in intuitionistic natural deduction
inferred← citeshttps://doi.org/10.1080/01445340.2024.2393964openalex-snapshot
Notions of Proof and Refutation in ‘Gentzensemantik’: Franz von Kutschera as an Early Proponent of (Bilateralist) Proof-Theoretic Semantics
inferred← citeshttps://doi.org/10.1093/logcom/1.5.635openalex-snapshot
A Proof-Theoretic Approach to Logic Programming
inferred← citeshttps://doi.org/10.1093/logcom/12.6.1061openalex-snapshot
Kripke Resource Models of a Dependently-typed, Bunched -calculus
inferred← citeshttps://doi.org/10.46298/lmcs-20(3:10)2024openalex-snapshot
A Faithful and Quantitative Notion of Distant Reduction for the Lambda-Calculus with Generalized Applications
inferred← citeshttps://doi.org/10.70675/bb262970z0891z43bdz99d3zb2340e25044fopenalex-snapshot
Dag Prawitz's theory of grounds
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