HOLCF: A higher-order version of LCF based on Isabelle/HOL

HOLCF is the definitional extension of Church's Higher-Order Logic with Scott's Logic for Computable Functions that has been implemented in the theorem prover Isabelle. This results in a flexible setup for reasoning about functional programs. HOLCF supports standard domain theory (in particular fixpoint reasoning and recursive domain equations) but also coinductive arguments about lazy datatypes.

The most recent description of HOLCF is found here:

A detailed description (in German) of the entire development can be found in: A short survey is available in: