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Classical proofs as programs

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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/10.1007/978-3-642-74884-4_3openalex-snapshot
Assigning Meaning to Proofs: a semantic basis for problem solving environments
inferredcites →https://doi.org/10.1007/bf01792986openalex-snapshot
Opérateurs de mise en mémoire et traduction de Gödel
inferredcites →https://doi.org/10.1007/bfb0012823openalex-snapshot
Specifying theorem provers in a higher-order logic programming language
inferredcites →https://doi.org/10.1007/bfb0013061openalex-snapshot
λμ-Calculus: An algorithmic interpretation of classical natural deduction
inferredcites →https://doi.org/10.1007/bfb0103100openalex-snapshot
Classically and intuitionistically provably recursive functions
inferredcites →https://doi.org/10.1016/0890-5401(88)90005-3openalex-snapshot
The calculus of constructions
inferredcites →https://doi.org/10.1016/s0049-237x(08)70740-7openalex-snapshot
Mathematics as a Numerical Language
inferredcites →https://doi.org/10.1017/s0960129500001328openalex-snapshot
A new constructive logic: classic logic
inferredcites →https://doi.org/10.1109/lics.1993.287602openalex-snapshot
Strong normalization for second order classical natural deduction
inferredcites →https://doi.org/10.1109/sfcs.1983.50openalex-snapshot
Reasoning about functional programs and complexity classes associated with type disciplines
inferredcites →https://doi.org/10.1145/96709.96714openalex-snapshot
A formulae-as-type notion of control
inferredcites →https://doi.org/10.2307/2185110openalex-snapshot
The | lambda-Calculus.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/1521-3870(200204)48:3<357::aid-malq357>3.0.co;2-lopenalex-snapshot
Non Deterministic Classical Logic: Theλμ++ -calculus
inferred← citeshttps://doi.org/10.1002/malq.19980440107openalex-snapshot
S‐Storage Operators
inferred← citeshttps://doi.org/10.1007/11417170_13openalex-snapshot
Arithmetical Proofs of Strong Normalization Results for the Symmetric λμ-Calculus
inferred← citeshttps://doi.org/10.1007/3-540-45500-0_23openalex-snapshot
Strong Normalization of Second Order Symmetric Lambda-mu Calculus
inferred← citeshttps://doi.org/10.1007/3-540-46674-6_23openalex-snapshot
A CPS-Transform of Constructive Classical Logic
inferred← citeshttps://doi.org/10.1007/3-540-48959-2_13openalex-snapshot
Explicitly Typed λμ-Calculus for Polymorphism and Call-by-Value
inferred← citeshttps://doi.org/10.1007/3-540-49366-2_5openalex-snapshot
Cut Elimination for Classical Proofs as Continuation Passing Style Computation
inferred← citeshttps://doi.org/10.1007/3-540-57887-0_113openalex-snapshot
The λ Δ-calculus
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On the relation between the λμ-calculus and the syntactic theory of sequential control
inferred← citeshttps://doi.org/10.1007/3-540-63875-x_62openalex-snapshot
Calculus of classical proofs I
inferred← citeshttps://doi.org/10.1007/978-3-031-51406-7_12openalex-snapshot
A New Conjecture About Identity of Proofs
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Proofs with Star and Perp
inferred← citeshttps://doi.org/10.1007/978-3-319-71237-6_11openalex-snapshot
Programming and Proving with Classical Types
inferred← citeshttps://doi.org/10.1007/978-3-540-87531-4_13openalex-snapshot
On the Relations between the Syntactic Theories of λμ-Calculi
inferred← citeshttps://doi.org/10.1007/bfb0014054openalex-snapshot
A simple calculus of exception handling
inferred← citeshttps://doi.org/10.1007/bfb0017475openalex-snapshot
A CPS-translation of the λμ-calculus
inferred← citeshttps://doi.org/10.1007/s001530050076openalex-snapshot
La valeur d'un entier classique en $\lambda\mu$ -calcul
inferred← citeshttps://doi.org/10.1007/s001530050147openalex-snapshot
Mixed logic and storage operators
inferred← citeshttps://doi.org/10.1007/s001530200007openalex-snapshot
Strong normalization of a symmetric lambda calculus for second-order classical logic
inferred← citeshttps://doi.org/10.1007/s10988-005-6580-7openalex-snapshot
Explaining Crossover and Superiority as Left-to-right Evaluation
inferred← citeshttps://doi.org/10.1007/s10990-007-9007-zopenalex-snapshot
A proof-theoretic foundation of abortive continuations
inferred← citeshttps://doi.org/10.1016/j.apal.2004.10.011openalex-snapshot
Control structures in programs and computational complexity
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.2005.06.020openalex-snapshot
Why the Usual Candidates of Reducibility Do Not Work for the Symmetric λμ-calculus
inferred← citeshttps://doi.org/10.1016/j.entcs.2009.02.031openalex-snapshot
Intuitionistic Letcc via Labelled Deduction
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.tcs.2006.08.002openalex-snapshot
Categorical proof theory of classical propositional calculus
inferred← citeshttps://doi.org/10.1016/j.tcs.2010.12.023openalex-snapshot
Musings around the geometry of interaction, and coherence
inferred← citeshttps://doi.org/10.1016/s0020-0190(02)00300-9openalex-snapshot
An interpretation of -calculus in -calculus
inferred← citeshttps://doi.org/10.1016/s0049-237x(06)80007-8openalex-snapshot
Classical logic and control operators
inferred← citeshttps://doi.org/10.1016/s0168-0072(02)00051-9openalex-snapshot
Church–Rosser property of a simple reduction for full first-order classical natural deduction
inferred← citeshttps://doi.org/10.1016/s0304-3975(01)00297-3openalex-snapshot
Polarized proof-nets and λμ-calculus
inferred← citeshttps://doi.org/10.1016/s0304-3975(99)00169-3openalex-snapshot
Proof-search in type-theoretic languages: an introduction
inferred← citeshttps://doi.org/10.1016/s0764-4442(97)83922-5openalex-snapshot
Un plongement de la logique classique du 2nd ordre dans AF2
inferred← citeshttps://doi.org/10.1017/s0956796899003512openalex-snapshot
A confluent λ-calculus with a catch/throw mechanism
inferred← citeshttps://doi.org/10.1017/s0960129508006762openalex-snapshot
Computation with classical sequents
inferred← citeshttps://doi.org/10.1017/s096012952200041xopenalex-snapshot
Normalization in the simply typed -calculus
inferred← citeshttps://doi.org/10.1023/a:1005073330585openalex-snapshot
On Proof Terms and Embeddings of Classical Substructural Logics
inferred← citeshttps://doi.org/10.1051/ita:2000102openalex-snapshot
Domain-Freeλµ-Calculus
inferred← citeshttps://doi.org/10.1093/logcom/14.4.529openalex-snapshot
A Formulae-as-Types Interpretation of Subtractive Logic
inferred← citeshttps://doi.org/10.1109/lics.1993.287602openalex-snapshot
Strong normalization for second order classical natural deduction
inferred← citeshttps://doi.org/10.1142/9781848164581_0005openalex-snapshot
Curry–Howard Correspondence
inferred← citeshttps://doi.org/10.1145/1516507.1516508openalex-snapshot
Sequent calculi and abstract machines
inferred← citeshttps://doi.org/10.1145/1863543.1863551openalex-snapshot
Lolliproc
inferred← citeshttps://doi.org/10.1145/1932681.1863551openalex-snapshot
Lolliproc
inferred← citeshttps://doi.org/10.1145/263699.263722openalex-snapshot
A Curry-Howard foundation for functional computation with control
inferred← citeshttps://doi.org/10.1145/503032.503043openalex-snapshot
CPS translating inductive and coinductive types
inferred← citeshttps://doi.org/10.1145/509799.503043openalex-snapshot
CPS translating inductive and coinductive types
inferred← citeshttps://doi.org/10.18778/0138-0680.2023.6openalex-snapshot
Structural Rules in Natural Deduction with Alternatives
inferred← citeshttps://doi.org/10.2307/2275572openalex-snapshot
A new deconstructive logic: linear logic
inferred← citeshttps://doi.org/10.2307/2694930openalex-snapshot
λμ-calculus and Böhm's theorem
inferred← citeshttps://doi.org/10.23638/lmcs-13(3:13)2017openalex-snapshot
A revised completeness result for the simply typed $\lambda\mu$-calculus using realizability semantics
inferred← citeshttps://doi.org/10.23638/lmcs-13(3:34)2017openalex-snapshot
Strong normalization of lambda-Sym-Prop- and lambda-bar-mu-mu-tilde-star- calculi
inferred← citeshttps://doi.org/10.23638/lmcs-14(2:17)2018openalex-snapshot
An estimation for the lengths of reduction sequences of the $\lambda\mu\rho\theta$-calculus
inferred← citeshttps://doi.org/10.3765/salt.v0i20.2569openalex-snapshot
Principles of interdimensional meaning interaction
inferred← citeshttps://doi.org/10.3765/salt.v20i0.2569openalex-snapshot
Principles of interdimensional meaning interaction
inferred← citeshttps://doi.org/10.4000/books.psorbonne.315openalex-snapshot
Règles et signification : le point de vue de la logique classique
inferred← citeshttps://doi.org/10.4204/eptcs.127.1openalex-snapshot
Strong Normalization for HA + EM1 by Non-Deterministic Choice
inferred← citeshttps://doi.org/10.4204/eptcs.45.3openalex-snapshot
Sound and Complete Typing for lambda-mu
inferred← citeshttps://doi.org/10.4204/eptcs.97.2openalex-snapshot
A call-by-value lambda-calculus with lists and control
inferred← citeshttps://doi.org/10.4249/scholarpedia.7618openalex-snapshot
Computational type theory
inferred← citeshttps://doi.org/10.46298/lmcs-19(2:12)2023openalex-snapshot
Adding Negation to Lambda Mu
inferred← citeshttps://doi.org/10.46298/lmcs-20(2:4)2024openalex-snapshot
A Strong Bisimulation for a Classical Term Calculus
inferred← citeshttps://doi.org/10.48550/arxiv.0905.0552openalex-snapshot
La Valeur d'un Entier Classique en $λμ$-Calcul
inferred← citeshttps://doi.org/10.48550/arxiv.0905.1034openalex-snapshot
Arithmetical proofs of strong normalization results for the symmetric $λμ$-calculus
inferred← citeshttps://doi.org/10.48550/arxiv.0905.1554openalex-snapshot
Why the usual candidates of reducibility do not work for the symmetric $λμ$-calculus
inferred← citeshttps://doi.org/10.48550/arxiv.1112.1554openalex-snapshot
A program logic for higher-order procedural variables and non-local jumps
inferred← citeshttps://doi.org/10.70675/953c72dbz8517z4bd3zb29fz9f7def5a3a18openalex-snapshot
Lawvere-Tierney sheafification in Homotopy Type Theory
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