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» Higher Order Quotients and their Implementation in Isabelle ...
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TPHOL
1997
IEEE
13 years 11 months ago
Higher Order Quotients and their Implementation in Isabelle HOL
This paper describes the concept of higher order quotients and an implementation in Isabelle. Higher order quotients are a generalization of quotients. They use partial equivalence...
Oscar Slotosch
SAC
2011
ACM
12 years 10 months ago
Quotients revisited for Isabelle/HOL
Higher-Order Logic (HOL) is based on a small logic kernel, whose
Cezary Kaliszyk, Christian Urban
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 ...
ENTCS
2008
140views more  ENTCS 2008»
13 years 7 months ago
Higher-Order Separation Logic in Isabelle/HOLCF
We formalize higher-order separation logic for a first-order imperative language with procedures and local variables in Isabelle/HOLCF. The assertion language is modeled in such a...
Carsten Varming, Lars Birkedal
AISC
2010
Springer
13 years 11 months ago
Structured Formal Development with Quotient Types in Isabelle/HOL
General purpose theorem provers provide sophisticated proof methods, but lack some of the advanced structuring mechanisms found in specification languages. This paper builds on pr...
Maksym Bortin, Christoph Lüth