Last modified: Sat Apr 9 03:11:32 2016 GMT.
In this paper we present a simple and general technique for solving the ECP problem for Hoare-logic-based PCC systems. By adding a small amount of syntax to the assertion language, we show how to combine semantic consequence relation with syntactic proof techniques. The result is a new powerful framework that can perform modular reasoning on ECPs while still retaining the expressiveness of Hoare logic. We show how to use our techniques to support polymorphism, closures, and other language extensions and how to solve the ECP problem for separation logic. Our system is fully mechanized. We give its complete soundness proof and a full verification of Reynolds's CPS-style ``list-append'' example in the Coq proof assistant.