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Diagram Chase in Relational System Development
Authors:Michael Ebert  Georg Struth
Affiliation:Department of Computer Science, University of the Federal Armed Forces Munich, Germany
Abstract:We propose diagrammatic techniques for visualizing relational reasoning in formal methods like B or Z; in particular for induction and coinduction. These are similar to those for functional diagrams in category theory and inspired by rewriting theory. Diagrams are endowed with a simple algebraic semantics that imposes a convenient balance between expressive and algorithmic power. This makes the approach particularly suitable for mechanization and automation. Its usefulness for visual reasoning is illustrated by various examples.
Keywords:diagrams  semi-commutation  formal semantics  relational system development  B  Z  induction  coinduction  iterator algebras
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