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Experimenting with Isabelle in ZF set theory

https://doi.org/10.1007/bf00881863
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-09724-4openalex-snapshot
Edinburgh LCF
inferredcites →https://doi.org/10.1007/978-94-009-7066-3openalex-snapshot
Handbook of Philosophical Logic
inferredcites →https://doi.org/10.1007/978-94-009-7066-3_2openalex-snapshot
Systems of Deduction
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Handbook of Philosophical Logic
inferredcites →https://doi.org/10.1007/bf00248324openalex-snapshot
The foundation of a generic theorem prover
inferredcites →https://doi.org/10.1007/bf02328452openalex-snapshot
Set theory in first-order logic: Clauses for Gödel's axioms
inferredcites →https://doi.org/10.1016/b978-0-7204-2076-0.50006-4openalex-snapshot
ON THE FOUNDATIONS OF MATHEMATICS 1907
inferredcites →https://doi.org/10.1016/c2013-0-05962-2openalex-snapshot
The Logical Foundations of Mathematics
inferredcites →https://doi.org/10.1017/cbo9780511526602openalex-snapshot
Logic and Computation
inferredcites →https://doi.org/10.1017/cbo9781139171618openalex-snapshot
Numbers, Sets and Axioms
inferredcites →https://doi.org/10.1112/blms/23.2.197openalex-snapshot
NON-WELL-FOUNDED SETS (CSLI Lecture Notes 14)
inferredcites →https://doi.org/10.2307/2183000openalex-snapshot
Axiomatic Set Theory.
inferredcites →https://doi.org/10.2307/2274454openalex-snapshot
Peter B. Andrews. An introduction to mathematical logic and type theory: to truth through proof. Computer science and applied mathematics. Academic Press, Orlando etc. 1986, xv + 304 pp.
inferredcites →https://doi.org/10.2307/2274588openalex-snapshot
J. Roger Hindley and Jonathan P. Seldin. Introduction to combinators and λ-calculus. London Mathematical Society student texts, no. 1. Cambridge University Press, Cambridge etc. 1986, vi + 360 pp.
inferredcites →https://doi.org/10.48456/tr-133openalex-snapshot
A preliminary users manual for Isabelle
inferredcites →https://doi.org/10.48456/tr-189openalex-snapshot
Isabelle tutorial and user’s manual
inferredcites →https://doi.org/10.48456/tr-232openalex-snapshot
Mechanising set theory

What points at this work

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

inferred← citeshttps://doi.org/10.1007/10721959_9openalex-snapshot
Gödel’s Algorithm for Class Formation
inferred← citeshttps://doi.org/10.1007/3-540-45744-5_12openalex-snapshot
Instructing Equational Set-Reasoning with Otter
inferred← citeshttps://doi.org/10.1007/3-540-46508-1_12openalex-snapshot
An Equational Re-engineering of Set Theories
inferred← citeshttps://doi.org/10.1007/3-540-52335-9_58openalex-snapshot
A formulation of the simple theory of types (for Isabelle)
inferred← citeshttps://doi.org/10.1007/3-540-58555-9_108openalex-snapshot
An experimental support system for formal mathematical reasoning
inferred← citeshttps://doi.org/10.1007/3-540-61064-2_33openalex-snapshot
The practice of logical frameworks
inferred← citeshttps://doi.org/10.1007/bf00283132openalex-snapshot
Mechanizing set theory
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Set theory for verification: I. From foundations to functions
inferred← citeshttps://doi.org/10.1007/bf00881916openalex-snapshot
Set theory for verification. II: Induction and recursion
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An approach to literate and structured formal developments
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Computer proofs about finite and regular sets: the unifying concept of subvariance
inferred← citeshttps://doi.org/10.1016/s1571-0661(04)00147-1openalex-snapshot
Layered map reasoning
inferred← citeshttps://doi.org/10.1017/9781108973106.003openalex-snapshot
Induction and Recursion
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Decidability results for sets with atoms
inferred← citeshttps://doi.org/10.48456/tr-271openalex-snapshot
Set theory as a computational logic: I. from foundations to functions
inferred← citeshttps://doi.org/10.48456/tr-286openalex-snapshot
Isabelle’s object-logics
inferred← citeshttps://doi.org/10.48550/arxiv.cs/9511102openalex-snapshot
Set Theory for Verification: II. Induction and Recursion
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Mechanizing Set Theory: Cardinal Arithmetic and the Axiom of Choice.
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Woitkowskia, A New Genus Of Army Ants.
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