Computational Interpretations of Classical Reasoning: From the Epsilon Calculus to Stateful Programs
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Publication:3305635
DOI10.1007/978-3-030-20447-1_14zbMath1469.03161arXiv1812.05851OpenAlexW2903953552MaRDI QIDQ3305635
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Publication date: 10 August 2020
Published in: Mathesis Universalis, Computability and Proof (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.05851
First-order arithmetic and fragments (03F30) Functionals in proof theory (03F10) Second- and higher-order arithmetic and fragments (03F35) Relative consistency and interpretations (03F25)
Cites Work
- Fluctuations, effective learnability and metastability in analysis
- The equivalence of bar recursion and open recursion
- Bar recursion over finite partial functions
- Notions of computation and monads
- The epsilon calculus and Herbrand complexity
- Unifying functional interpretations
- Cut elimination for a simple formulation of epsilon calculus
- Ackermann's substitution method (remixed)
- Zur Widerspruchsfreiheit der Zahlentheorie
- Interactive Learning-Based Realizability for Heyting Arithmetic with EM1
- Transfinite Update Procedures for Predicative Systems of Analysis
- Extracting Imperative Programs from Proofs: In-place Quicksort
- Existential witness extraction in classical realizability and via a negative translation
- Proofs and Computations
- ÜBER EINE BISHER NOCH NICHT BENÜTZTE ERWEITERUNG DES FINITEN STANDPUNKTES
- On the computational content of the axiom of choice
- Gödel's functional interpretation and the concept of learning
- A semantics of evidence for classical arithmetic
- On the No-Counterexample Interpretation
- Extracting verified decision procedures: DPLL and Resolution
- Logic for Gray-code Computation
- A Game-Theoretic Computational Interpretation of Proofs in Classical Analysis
- Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
- A constructive interpretation of Ramsey's theorem via the product of selection functions
- On the Interpretation of Non-Finitist Proofs--Part I
- On the interpretation of non-finitist proofs–Part II
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