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.
Citation:
Lars Birkedal, Noah Torp-Smith, Hongseok Yang, "Semantics of Separation-Logic Typing and Higher-Order Frame Rules," lics, pp.260-269, 20th Annual IEEE Symposium on Logic in Computer Science (LICS' 05), 2005