MetaML is a statically typed functional programming language with special support for program generation. In addition to providing the standard features of contemporary programming languages such as Standard ML, MetaML provides three staging annotations. These staging annotations allow the construction, combination, and execution of object-programs. Our thesis is that MetaML's three staging annotations provide a useful, theoretically sound basis for building program generators. This dissertation reports on our study of MetaML's staging constructs, their use, their implementation, and their formal semantics. Our results include an extended example of where MetaML allows us to produce efficient programs, an explanation of why implementing these constructs in traditional ways can be challenging, two formulations of MetaML's semantics, a type system for MetaML, and a proposal for extending ...

Many macro systems, especially for Lisp and Scheme, allow macro transformers to perform general computation. Moreover, the language for implementing compile-time macro transformers is usually the same as the language for implementing run-time functions. As a side effect of this sharing, implementations tend to allow the mingling of compile-time values and run-time values, as well as values from separate compilations. Such mingling breaks programming tools that must parse code without executing it. Macro implementors avoid harmful mingling by obeying certain macrodefinition protocols and by inserting phase-distinguishing annotations into the code. However, the annotations are fragile, the protocols are not enforced, and programmers can only reason about the result in terms of the compiler's implementation. MzScheme--- the language of the PLT Scheme tool suite---addresses the problem through a macro system that separates compilation without sacrificing the expressiveness of macros.

Multi-stage programming languages provide a convenient notation for explicitly staging programs. Staging a definitional interpreter for a domain specific language is one way of deriving an implementation that is both readable and efficient. In an untyped setting, staging an interpreter "removes a complete layer of interpretive overhead", just like partial evaluation. In a typed setting however, Hindley-Milner type systems do not allow us to exploit typing information in the language being interpreted. In practice, this can have a slowdown cost factor of three or more times.

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We formally characterize partial evaluation of functional programs as a normalization problem in an equational theory, and derive a type-based normalization-by-evaluation algorithm for computing normal forms in this setting. We then establish the correctness of this algorithm using a semantic argument based on Kripke logical relations. For simplicity, the results are stated for a nonstrict, purely functional language; but the methods are directly applicable to stating and proving correctness of type-directed partial evaluation in ML-like languages as well.

Safely adding computational eects to a multi-stage language has been an open problem. In previous work, a closed type constructor was used to provide a safe mechanism for executing dynamically generated code. This paper proposes a general notion of closed type as a simple approach to safely introducing computational eects into multistage languages. We demonstrate this approach formally in a core language called Mini-ML BN ref . This core language combines safely multi-stage constructs and ML-style references. In addition to incorporating state, Mini-ML BN ref also embodies a number of technical improvements over previously proposed core languages for multi-stage programming.

Tag elimination is a program transformation for removing unnecessary tagging and untagging operations from automatically...

Recent research suggests that the goal of fully automatic and reliable program generation for a broad range of applications is coming nearer to feasibility. However, several interesting and challenging problems remain to be solved before it becomes a reality. Solving them is also necessary, if we hope ever to elevate software engineering from its current state (a highly-developed handiwork) into a successful branch of engineering, capable of solving a wide range of new problems by systematic, well-automated and well-founded methods.

Recent work proposed defining type-safe macros via interpretation into a multi-stage language. The utility of this approach was illustrated with a language called MacroML, in which all type checking is carried out before macro expansion. Building on this work, the goal of this paper is to develop a macro language that makes it easy for programmers to reason about terms locally. We show that defining the semantics of macros in this manner helps in developing and verifying not only type systems for macro languages but also equational reasoning principles. Because the MacroML calculus is sensetive to renaming of (what appear locally to be) bound variables, we present a calculus of staged notational definitions (SND) that eliminates the renaming problem but retains MacroML's phase distinction. Additionally, SND incorporates the generality of Griffin's account of notational definitions. We exhibit a formal equational theory for SND and prove its soundness.

? Supported by NSF grants ITR-0113569, CCR-0224244 and CCR-0229480.