Published online by Cambridge University Press: 06 January 2010
Part II introduces Boolean categories and establishes their basic structure. A Boolean category is intended to be a minimal framework for the semantics of loop-free control structures including a high-level specification language based on propositional dynamic logic. Coproducts are given a fundamental role in this approach. The axioms on a Boolean category are designed to justify the intuition that a binary coproduct decomposes an object into two disjoint alternatives.
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