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» An automated prover for Zermelo-Fraenkel set theory in Theor...
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JSC
2006
122views more  JSC 2006»
15 years 10 days ago
An automated prover for Zermelo-Fraenkel set theory in Theorema
This paper presents some fundamental aspects of the design and the implementation of an automated prover for Zermelo-Fraenkel set theory within the well-known Theorema system. The...
Wolfgang Windsteiger
CSL
2003
Springer
15 years 5 months ago
A Strongly Normalising Curry-Howard Correspondence for IZF Set Theory
We propose a method for realising the proofs of Intuitionistic Zermelo-Fraenkel set theory (IZF) by strongly normalising λ-terms. This
Alexandre Miquel
125
Voted
TYPES
1994
Springer
15 years 4 months ago
A Concrete Final Coalgebra Theorem for ZF Set Theory
A special final coalgebra theorem, in the style of Aczel's [2], is proved within standard Zermelo-Fraenkel set theory. Aczel's AntiFoundation Axiom is replaced by a varia...
Lawrence C. Paulson
LICS
2002
IEEE
15 years 5 months ago
Computational Adequacy for Recursive Types in Models of Intuitionistic Set Theory
This paper provides a unifying axiomatic account of the interpretation of recursive types that incorporates both domain-theoretic and realizability models as concrete instances. O...
Alex K. Simpson
83
Voted
CADE
2006
Springer
16 years 21 days ago
Combining Type Theory and Untyped Set Theory
Abstract. We describe a second-order type theory with proof irrelevance. Within this framework, we give a representation of a form of Mac Lane set theory and discuss automated supp...
Chad E. Brown