Pointer Data Structure Synthesis from Answer Set Programming Specifications

Abstract: We develop an inductive proof-technique to generate imperative programs for pointer data structures from behavioural specifications expressed in the Answer Set Programming (ASP) formalism. ASP is a non-monotonic logic based formalism that employs negation-as-failure which helps emulate the human thought process, allowing domain experts to model desired system behaviour succinctly. We argue in this paper that ASP's reliance on negation-as-failure makes it a better formalism than those based on first-order logic for writing formal specifications. We assume the a domain expert provides the representation of inductively defined data structures along with a specification of its operations. Our procedures combined with our novel proof-technique reason over the specifications and automatically generate an imperative program. Our proof-technique leverages the idea of partial deduction to simplify logical specifications. By algebraically simplifying logical specifications we arrive at a residual specification which can be interpreted as an appropriate imperative program. This work is in the realm of constructing programs that are correct according to a given specification.