A relation algebraic model of robust correctness

Analysis and correctness of algebraic graph and model transformations

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Algebraic Translations, Correctness and Algebraic Compiler Construction

Algebraic translation methods are argued for in many fields of science. Several examples will be considered: from the field of compiler construction, database updates, concurrent programming languages, logic, natural language translation, and natural language semantics. Special attention will be given to the notion ‘correctness of translation’. In all fields this notion can be defined as the co...

An Algebraic Model of Correctness for Superscalar Microprocessors

A set of algebraic tools for microprocessors (Harman and Tucker [1995a], Harman and Tucker [1994], Fox and Harman [1996b]) are extended to accommodate superscalar processors, where instructions may be executed in parallel, or out of program order. This has implications for the representation of timing abstraction, the relationship between time at different levels of abstraction, and the concept...

Algebraic Implementations Preserve Program Correctness

Algebraic models of correctness for abstract pipelines

We apply algebraic tools for modelling microprocessors to the specification, implementation, and verification of an abstract pipelined case study. We employ a model of time based on counting events by means of a clock. We model systems by iterated maps that evolve over time from some initial state. We define formal correctness conditions, and introduce the one-step theorems that can reduce the ...