Prawitz, Proofs, and Meaning
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Publication:5213604
DOI10.1007/978-3-319-11041-7_1zbMath1429.03197OpenAlexW2095771083MaRDI QIDQ5213604
Publication date: 4 February 2020
Published in: Dag Prawitz on Proofs and Meaning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-11041-7_1
normalizationnatural deductionanti-realismproof-theoretic semanticsGerhard Gentzengeneral proof theoryDag Prawitz
Biographies, obituaries, personalia, bibliographies (01A70) History of mathematical logic and foundations (03-03) Proof theory in general (including proof-theoretic semantics) (03F03)
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Cites Work
- Constructible falsity
- Proof theory
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- Advances in natural deduction. A celebration of Dag Prawitz's work. Selected papers based on the presentations at the conference ``Natural deduction, Rio de Janeiro, Brazil, 2001
- The epistemic significance of valid inference
- Logical consequence and the paradoxes
- Normalization and excluded middle. I
- General-elimination harmony and the meaning of the logical constants
- Natural deduction for dual-intuitionistic logic
- Proof theory of Nelson's paraconsistent logic: a uniform perspective
- Connectives stranger than tonk
- Logical connectives for constructive modal logic
- Constructive negations and paraconsistency
- Proof-theoretic semantics for subsentential phrases
- Antirealism and universal knowability
- The semantics and proof theory of linear logic
- Constructivism in mathematics. An introduction. Volume II
- On the idea of a general proof theory
- Handbook of proof theory
- The logic of information structures
- Natural deduction with general elimination rules
- Short proofs of normalization for the simply-typed \(\lambda\)-calculus, permutative conversions and Gödel's \(\mathbf T\)
- Functional completeness for subsystems of intuitionistic propositional logic
- Displaying modal logic
- Display logic
- Does reductive proof theory have a viable rationale?
- On the equivalence conjecture for proof-theoretic harmony
- The idea of a proof-theoretic semantics and the meaning of the logical operations
- Gentzen and Jaśkowski natural deduction: fundamentally similar but importantly different
- The calculus of higher-level rules, propositional quantification, and the foundational approach to proof-theoretic harmony
- Hypersequent and display calculi -- a unified perspective
- Truth as an epistemic notion
- Meaning approached via proofs
- Validity concepts in proof-theoretic semantics
- A proof of cut-elimination theorem in simple type-theory
- Konstruktive Begründung der Mathematik
- A Brief History of Natural Deduction
- Falsification, natural deduction and bi-intuitionistic logic
- NORMAL DERIVABILITY IN CLASSICAL NATURAL DEDUCTION
- Gentzen's Proof Systems: Byproducts in a Work of Genius
- Proof Analysis
- What is Logic?
- Gentzen's Proof of Normalization for Natural Deduction
- Proof-Theoretic Semantics for a Natural Language Fragment
- A natural extension of natural deduction
- Constructible falsity and inexact predicates
- On the proof theory of the intermediate logic MH
- Positive deissler rank and the complexity of injective modules
- Syntactical and semantical properties of simple type theory
- The correspondence between cut-elimination and normalization
- Substructural logics on display
- Translations from natural deduction to sequent calculus
- Identity of Proofs Based on Normalization and Generality
- Forcing in Proof Theory
- Hypersequent Calculi for Godel Logics -- a Survey
- Cut Elimination, Substitution and Normalisation
- General-Elimination Harmony and Higher-Level Rules
- Generalized Elimination Inferences, Higher-Level Rules, and the Implications-as-Rules Interpretation of the Sequent Calculus
- Revisiting Zucker’s Work on the Correspondence Between Cut-Elimination and Normalisation
- An Approach to General Proof Theory and a Conjecture of a Kind of Completeness of Intuitionistic Logic Revisited
- A Critical Remark on the BHK Interpretation of Implication
- Hauptsatz for higher order logic
- Die Vollständigkeit des Operatorensystems {¬, ∨, ⊃} für die Intuitionistische Aussagenlogik im Rahmen der Gentzensematik
- Intensional interpretations of functionals of finite type I
- Completeness and Hauptsatz for second order logic1
- Ein verallgemeinerter Widerlegungsbegriff für Gentzenkalküle
- A nonconstructive proof of Gentzen’s Hauptsatz for second order predicate logic
- A Mechanical Proof Procedure and its Realization in an Electronic Computer
- Logical connectives for intuitionistic propositional logic
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