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ITP
2010
165views Mathematics» more  ITP 2010»
13 years 11 months ago
A Mechanized Translation from Higher-Order Logic to Set Theory
Abstract. In order to make existing formalizations available for settheoretic developments, we present an automated translation of theories from Isabelle/HOL to Isabelle/ZF. This c...
Alexander Krauss, Andreas Schropp
ITP
2010
114views Mathematics» more  ITP 2010»
13 years 11 months ago
A New Foundation for Nominal Isabelle
Pitts et al introduced a beautiful theory about names and binding based on the notions of permutation and support. The engineering challenge is to smoothly adapt this theory to a t...
Brian Huffman, Christian Urban
CADE
2007
Springer
14 years 7 months ago
Certified Size-Change Termination
We develop a formalization of the Size-Change Principle in Isabelle/HOL and use it to construct formally certified termination proofs for recursive functions automatically.
Alexander Krauss
LICS
2012
IEEE
11 years 9 months ago
Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
—Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...
TPHOL
1999
IEEE
13 years 11 months ago
Inductive Datatypes in HOL - Lessons Learned in Formal-Logic Engineering
Abstract. Isabelle/HOL has recently acquired new versions of definitional packages for inductive datatypes and primitive recursive functions. In contrast to its predecessors and mo...
Stefan Berghofer, Markus Wenzel