## The Definition of Standard ML: RevisedStandard ML is a general-purpose programming language designed for large projects. This book provides a formal definition of Standard ML for the benefit of all concerned with the language, including users and implementers. Because computer programs are increasingly required to withstand rigorous analysis, it is all the more important that the language in which they are written be defined with full rigor. One purpose of a language definition is to establish a theory of meanings upon which the understanding of particular programs may rest. To properly define a programming language, it is necessary to use some form of notation other than a programming language. Given a concern for rigor, mathematical notation is an obvious choice. The authors have defined their semantic objects in mathematical notation that is completely independent of Standard ML. In defining a language one must also define the rules of evaluation precisely--that is, define what meaning results from evaluating any phrase of the language. The definition thus constitutes a formal specification for an implementation. The authors have developed enough of their theory to give sense to their rules of evaluation. |

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### Contents

Introduction | 1 |

Syntax of Modules | 11 |

Static Semantics for Modules | 29 |

Dynamic Semantics for the Core | 37 |

Dynamic Semantics for Modules | 47 |

Programs | 53 |

Full Grammar | 61 |

The Initial Static Basis | 67 |