Semantics of Separation-Logic Typing and Higher-order Frame Rules   for<br> Algol-like Languages
  We show how to give a coherent semantics to programs that are well-specified in a version of separation logic for a language with higher types: idealized algol extended with heaps (but with immutable stack variables). In particular, we provide simple sound rules for deriving higher-order frame rules, allowing for local reasoning. 
Lars Birkedal, Noah Torp-Smith, Hongseok Yang