Distilling the requirements of Gödel's incompleteness theorems with a proof assistant
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Publication:2051568
DOI10.1007/s10817-021-09599-8OpenAlexW3196549399WikidataQ113901237 ScholiaQ113901237MaRDI QIDQ2051568
Andrei Popescu, Dmitriy Traytel
Publication date: 24 November 2021
Published in: Journal of Automated Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10817-021-09599-8
Uses Software
Cites Work
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- A mechanised proof of Gödel's incompleteness theorems using Nominal Isabelle
- Eisbach: a proof method language for Isabelle
- Interactive theorem proving and program development. Coq'Art: the calculus of inductive constructions. Foreword by Gérard Huet and Christine Paulin-Mohring.
- Nominal techniques in Isabelle/HOL
- Self-reference and modal logic
- Automated proofs of Löb's theorem and Gödel's two incompleteness theorems
- Abstract proof checking: An example motivated by an incompleteness theorem
- Isabelle/HOL. A proof assistant for higher-order logic
- From types to sets by local type definition in higher-order logic
- Automated search for Gödel's proofs
- HOL(y)Hammer: online ATP service for HOL Light
- The scope of Gödel's first incompleteness theorem
- A formally verified abstract account of Gödel's incompleteness theorems
- Term-generic logic
- Locales: a module system for mathematical theories
- Institution-independent model theory
- Undecidable theories
- Concrete Semantics
- A MACHINE-ASSISTED PROOF OF GÖDEL’S INCOMPLETENESS THEOREMS FOR THE THEORY OF HEREDITARILY FINITE SETS
- A Consistent Foundation for Isabelle/HOL
- Comprehending Isabelle/HOL’s Consistency
- HOL Light: An Overview
- Unified Classical Logic Completeness
- Solution of a problem of Leon Henkin
- Nominal (Universal) Algebra: Equational Logic with Names and Binding
- Metamathematics, Machines and Gödel's Proof
- Institutions: abstract model theory for specification and programming
- Redundancies in the Hilbert-Bernays derivability conditions for Gödel's second incompleteness theorem
- GENERALIZATIONS OF GÖDEL’S INCOMPLETENESS THEOREMS FOR ∑n-DEFINABLE THEORIES OF ARITHMETIC
- Finite sets and Gödel's incompleteness theorems
- Theorem Proving in Higher Order Logics
- Formalizing Bachmair and Ganzinger's ordered resolution prover
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