A Natural Axiomatization of Computability and Proof of Church's Thesis
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Publication:3616433
DOI10.2178/bsl/1231081370zbMath1167.03027OpenAlexW2121136774MaRDI QIDQ3616433
Nachum Dershowitz, Yuri Gurevich
Publication date: 25 March 2009
Published in: Bulletin of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2178/bsl/1231081370
algorithmsChurch's thesiscomputable functionsabstract state machinesencodingsrecursivenesseffective computationTuring's thesis
Recursive functions and relations, subrecursive hierarchies (03D20) Turing machines and related notions (03D10)
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Cites Work
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- Algebraic specifications of computable and semicomputable data types
- Reflections on Church's thesis
- Acceptable notation
- Conservative logic
- On Gurevich's theorem on sequential algorithms
- Church's thesis and the conceptual analysis of computability
- Choiceless polynomial time, counting and the Cai-Fürer-Immerman graphs
- Church's thesis after 70 years
- Proving Church's Thesis
- The Prospects for Mathematical Logic in the Twenty-First Century
- Second Thoughts about Church's Thesis and Mathematical Proofs
- Effective procedures in field theory
- Comparing Computational Power
- Why Gödel didn't have church's thesis
- Storage Modification Machines
- The optimal approach to recursive programs
- Church's Thesis: Prelude to a Proof
- Step by Recursive Step: Church's Analysis of Effective Calculability
- Completeness Before Post: Bernays, Hilbert, and the Development of Propositional Logic
- Abstract state machines capture parallel algorithms
- Ordinary interactive small-step algorithms, I
- Church Without Dogma: Axioms for Computability
- Why Sets?
- The Church-Turing Thesis over Arbitrary Domains
- Trial and error predicates and the solution to a problem of Mostowski
- Limiting recursion
- Sequential abstract-state machines capture sequential algorithms
- An Unsolvable Problem of Elementary Number Theory
- A note on the Entscheidungsproblem
- Finite combinatory processes—formulation
- Computability and λ-definability
- An informal exposition of proofs of Gödel's theorems and Church's theorem
- Formal Reductions of the General Combinatorial Decision Problem