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A coalgebraic equational approach to specifying observational structures. (English) Zbl 1002.68095

Summary: A coalgebraic, equational approach to the specification of observational structures allowing for a choice in the result type of observations is presented. Observers whose result type is structured as a coproduct of basic types are considered, and notions of covariable, coterm and coequation, dual to the algebraic notions of variable, term and equation are used to specify the associated structures. A sound and complete deduction calculus for reasoning about observational structures is then formulated. Finally, the approach is extended in order to account for the availability of a fixed data universe in the specification of such structures.

MSC:

68Q65 Abstract data types; algebraic specification
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