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λμ-Calculus: An algorithmic interpretation of classical natural deduction

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-55460-2_27openalex-snapshot
Free deduction: An analysis of “Computations” in classical logic
inferredcites →https://doi.org/10.1007/bf01792986openalex-snapshot
Opérateurs de mise en mémoire et traduction de Gödel
inferredcites →https://doi.org/10.1007/bfb0021084openalex-snapshot
Classical proofs as programs: How, what and why
inferredcites →https://doi.org/10.1145/96709.96714openalex-snapshot
A formulae-as-type notion of control

What points at this work

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

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Automated Theorem Proving
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Classical truth in higher types
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A Symmetric Lambda Calculus for Classical Program Extraction
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Structural Cut Elimination
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Completeness of Continuation Models for λμ-Calculus
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Arithmetical Proofs of Strong Normalization Results for the Symmetric λμ-Calculus
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Galois Embedding from Polymorphic Types into Existential Types
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Naming Proofs in Classical Propositional Logic
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Light Functional Interpretation
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Distributed Control Flow with Classical Modal Logic
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The Language χ: Circuits, Computations and Classical Logic
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Strong Normalization of the Dual Classical Sequent Calculus
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Explanation in Natural Language of λμμ-Terms
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Approaches to Polymorphism in Classical Sequent Calculus
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Strong Normalization of Second Order Symmetric λ-Calculus
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Limiting Partial Combinatory Algebras towards Infinitary Lambda-Calculi and Classical Logic
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Sharing Continuations: Proofnets for Languages with Explicit Control
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Explicitly Typed λμ-Calculus for Polymorphism and Call-by-Value
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Strong Normalisation of Cut-Elimination in Classical Logic
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Strong normalization in a non-deterministic typed lambda-calculus
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Reduction System for Extensional Lambda-mu Calculus
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A Translation of Intersection and Union Types for the λμ-Calculus
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Conjunctive, Disjunctive, Negative Objects and Generalized Quantification
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Linear $$ \lambda \mu $$ is $$ \textsc {CP} $$ (more or less)
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λμ-Calculus and Duality: Call-by-Name and Call-by-Value
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Extending the Explicit Substitution Paradigm
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Completing Herbelin’s Programme
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Convolution $\bar\lambda\mu$ -Calculus
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An Arithmetical Proof of the Strong Normalization for the λ-Calculus with Recursive Equations on Types
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Call-by-Value Is Dual to Call-by-Name, Extended
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On the Relations between the Syntactic Theories of λμ-Calculi
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A Calculus of Realizers for EM 1 Arithmetic (Extended Abstract)
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Undecidability of Type-Checking in Domain-Free Typed Lambda-Calculi with Existence
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An Algorithmic Interpretation of a Deep Inference System
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Linearly-Used Continuations in the Enriched Effect Calculus
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Covert Movement in Logical Grammar
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Confluence Proofs of Lambda-Mu-Calculi by Z Theorem
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Full intuitionistic linear logic (extended abstract)11Presented at the 9th International Congress of Logic, Methodology and Philosophy of Science held in Uppsala, Sweden, August 7-14, 1991.
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Uniform Heyting arithmetic
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Non-strictly positive fixed points for classical natural deduction
inferred← citeshttps://doi.org/10.1016/j.apal.2004.11.002openalex-snapshot
Polarized and focalized linear and classical proofs
inferred← citeshttps://doi.org/10.1016/j.apal.2007.10.008openalex-snapshot
Second-order type isomorphisms through game semantics
inferred← citeshttps://doi.org/10.1016/j.apal.2008.01.001openalex-snapshot
On the unity of duality
inferred← citeshttps://doi.org/10.1016/j.apal.2008.01.002openalex-snapshot
Call-by-name reduction and cut-elimination in classical logic
inferred← citeshttps://doi.org/10.1016/j.apal.2008.01.003openalex-snapshot
Strong normalization of classical natural deduction with disjunctions
inferred← citeshttps://doi.org/10.1016/j.apal.2008.01.005openalex-snapshot
Classical Fω , orthogonality and symmetric candidates
inferred← citeshttps://doi.org/10.1016/j.apal.2010.04.007openalex-snapshot
Kripke models for classical logic
inferred← citeshttps://doi.org/10.1016/j.apal.2010.04.010openalex-snapshot
Completeness and partial soundness results for intersection and union typing for λ¯μμ
inferred← citeshttps://doi.org/10.1016/j.apal.2012.05.005openalex-snapshot
The λμT -calculus
inferred← citeshttps://doi.org/10.1016/j.entcs.2005.01.034openalex-snapshot
A Rewriting Calculus for Cyclic Higher-order Term Graphs
inferred← citeshttps://doi.org/10.1016/j.entcs.2005.06.010openalex-snapshot
Intersection and Union Types in the λ¯μμ˜ -calculus
inferred← citeshttps://doi.org/10.1016/j.entcs.2005.06.020openalex-snapshot
Why the Usual Candidates of Reducibility Do Not Work for the Symmetric λμ-calculus
inferred← citeshttps://doi.org/10.1016/j.entcs.2005.06.026openalex-snapshot
A Semantics of Realisability for the Classical Propositional Natural Deduction
inferred← citeshttps://doi.org/10.1016/j.entcs.2005.11.055openalex-snapshot
A Concurrent Model for Linear Logic
inferred← citeshttps://doi.org/10.1016/j.entcs.2005.11.071openalex-snapshot
Practical Program Extraction from Classical Proofs
inferred← citeshttps://doi.org/10.1016/j.entcs.2006.12.039openalex-snapshot
On the Computational Representation of Classical Logical Connectives
inferred← citeshttps://doi.org/10.1016/j.entcs.2008.12.072openalex-snapshot
Denotational Semantics of Call-by-name Normalization in Lambda-mu Calculus
inferred← citeshttps://doi.org/10.1016/j.entcs.2009.02.031openalex-snapshot
Intuitionistic Letcc via Labelled Deduction
inferred← citeshttps://doi.org/10.1016/j.entcs.2009.07.088openalex-snapshot
Game Semantics for Access Control
inferred← citeshttps://doi.org/10.1016/j.entcs.2012.10.001openalex-snapshot
Continuation Models for the Lambda Calculus With Constructors
inferred← citeshttps://doi.org/10.1016/j.entcs.2014.10.004openalex-snapshot
Applicative Bisimilarities for Call-by-Name and Call-by-Value λμ-Calculus
inferred← citeshttps://doi.org/10.1016/j.entcs.2015.12.008openalex-snapshot
Focused Linear Logic and the λ-calculus
inferred← citeshttps://doi.org/10.1016/j.entcs.2018.03.015openalex-snapshot
Proving Soundness of Extensional Normal-Form Bisimilarities
inferred← citeshttps://doi.org/10.1016/j.ic.2003.08.004openalex-snapshot
Strong normalisation in the π-calculus
inferred← citeshttps://doi.org/10.1016/j.ic.2004.04.002openalex-snapshot
Strong normalization of the second-order symmetric λμ-calculus
inferred← citeshttps://doi.org/10.1016/j.ic.2006.08.008openalex-snapshot
Resource operators for λ-calculus
inferred← citeshttps://doi.org/10.1016/j.ipl.2006.03.009openalex-snapshot
Strong normalization proofs by CPS-translations
inferred← citeshttps://doi.org/10.1016/j.jpaa.2005.03.016openalex-snapshot
Order-enriched categorical models of the classical sequent calculus
inferred← citeshttps://doi.org/10.1016/j.jpaa.2012.03.020openalex-snapshot
Simple free star-autonomous categories and full coherence
inferred← citeshttps://doi.org/10.1016/j.tcs.2004.03.006openalex-snapshot
Getting results from programs extracted from classical proofs
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.04.009openalex-snapshot
Investigations on the Dual Calculus
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.08.002openalex-snapshot
Categorical proof theory of classical propositional calculus
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.12.026openalex-snapshot
Combining algebraic effects with continuations
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.12.028openalex-snapshot
A syntactic correspondence between context-sensitive calculi and abstract machines
inferred← citeshttps://doi.org/10.1016/j.tcs.2007.02.028openalex-snapshot
The differential λμ -calculus
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