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What and Define arrow diagram in mathematical foundations of computer science
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An arrow diagram is a combination of arrow symbols and the related elements and considered as a unit of syntax. These arrow-related elements are known as components of the arrow diagram.
An arrow diagram must have at least one arrow symbol and one component. As a first step, we consider the arrow diagram that have only a uni-directional arrow symbol and its related elements. Bidirectional arrows are not considered, because they are regarded as a synthesis of two oppositely-directed arrow symbols.
Primarily, arrow diagrams are used to express direction such as metaphorical directions. Downward directions are associated with decrease while upward directions are metaphorically associated with improvement or increase. Also, they are used in spatial and temporal context.