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Program transformations using temporal logic side conditions
This paper describes an approach to program optimisation based on transformations, where temporal logic is used to specify side conditions, and strategies are created which expand the repertoire of transformations and provide a suitable level of abstraction. We demonstrate the power of this approach by developing a set of optimisations using our transformation language and showing how the transformations can be converted into a form which makes it easier to apply them, while maintaining trust in the resulting optimising steps. The approach is illustrated through a transformational case study where we apply several optimisations to a small program
Trust, but Verify: Two-Phase Typing for Dynamic Languages
A key challenge when statically typing so-called dynamic languages is the
ubiquity of value-based overloading, where a given function can dynamically
reflect upon and behave according to the types of its arguments. Thus, to
establish basic types, the analysis must reason precisely about values, but in
the presence of higher-order functions and polymorphism, this reasoning itself
can require basic types. In this paper we address this chicken-and-egg problem
by introducing the framework of two-phased typing. The first "trust" phase
performs classical, i.e. flow-, path- and value-insensitive type checking to
assign basic types to various program expressions. When the check inevitably
runs into "errors" due to value-insensitivity, it wraps problematic expressions
with DEAD-casts, which explicate the trust obligations that must be discharged
by the second phase. The second phase uses refinement typing, a flow- and
path-sensitive analysis, that decorates the first phase's types with logical
predicates to track value relationships and thereby verify the casts and
establish other correctness properties for dynamically typed languages
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