Semantics of Separation-Logic Typing and Higher-order Frame Rules for<br> Algol-like Languages

We show how to give a coherent semantics to programs that are well-specified in a version of separation logic for a language with higher types: idealized algol extended with heaps (but with immutable stack variables). In particular, we provide simple sound rules for deriving higher-order frame rules, allowing for local reasoning

Elementary data structures in ALGOL-like languages

AbstractJ.C. Reynolds has pointed out that ALGOL 60 has a set of properties not shared by most of the languages usually regarded as being its successors. We propose to use this ALGOL-like framework to design a language that could adequately support both applicative and imperative programming while also retaining the advantages of each of the “pure” frameworks. This paper discusses elementary data-structuring facilities (products, arrays, sums) for such a language, taking advantage of recent developments, such as this author's “quantification” notation, and the notion of “conjunctive type” proposed by Coppo and Dezani, and adapted to explicitly-typed languages by Reynolds

Fifty years of Hoare's Logic

We present a history of Hoare's logic.Comment: 79 pages. To appear in Formal Aspects of Computin

A Historical Perspective on Runtime Assertion Checking in Software Development

This report presents initial results in the area of software testing and analysis produced as part of the Software Engineering Impact Project. The report describes the historical development of runtime assertion checking, including a description of the origins of and significant features associated with assertion checking mechanisms, and initial findings about current industrial use. A future report will provide a more comprehensive assessment of development practice, for which we invite readers of this report to contribute information

On the proper treatment or referencing, dereferencing and assignment

A Floyd-like semantics is presented for the assignment statement in a fragment of ALGOL 68. The fragment considered contains array identifiers, referencing, dereferencing and conditionals. The semantics is based upon an interpretation in a model of intensional logic, without use of addresses or stores. In doing so, several ideas developed by R. Montague concerning the treatment of semantics for natural languages are applied for the first time in the area of semantics of programming languages. We also consider an operational semantics, based on the same model and prove that the Floyd-like semantics is valid with respect to the operational one and always yields the strongest postcondition

Relational Parametricity and Separation Logic

Separation logic is a recent extension of Hoare logic for reasoning about programs with references to shared mutable data structures. In this paper, we provide a new interpretation of the logic for a programming language with higher types. Our interpretation is based on Reynolds's relational parametricity, and it provides a formal connection between separation logic and data abstraction

Programming Language Feature Agglomeration

Feature-creep is a well-known phenomenon in software systems. In this paper, we argue that feature-creep also occurs in the domain of programming languages. Recent languages are more expressive than earlier languages. However recent languages generally extend rather than replace the syntax (sometimes) and semantics (almost always) of earlier languages. We demonstrate this trend of agglomeration in a sequence of languages comprising Pascal, C, Java, and Scala. These are all block-structured Algol-derived languages, with earlier languages providing explicit inspiration for later ones. We present empirical evidence from several language-specific sources, including grammar definitions and canonical manuals. The evidence suggests that there is a trend of increasing complexity in modern languages that have evolved from earlier languages