Reasoning About Resources in the Embedded Systems Language Hume

In this paper we present an instrumented program logic for the embedded systems language Hume, suitable to reason about resource consumption. Matching the structure of Hume programs, it integrates two logics, a VDM-style program logic for the functional language and a TLA-style logic for the coordination language of Hume. We present a soundness proof of the program logic, and demonstrate the usability of these logics by proving resource bounds for a Hume program. Both logics, the soundness proof and the example have been fully formalised in the Isabelle/HOL theorem prover.