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» Higher Order Quotients and their Implementation in Isabelle ...
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TPHOL
1997
IEEE
13 years 8 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 7 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 7 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 4 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 9 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