Some Algebraic Aspects of Assume-Guarantee Reasoning
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We present the algebra of assume-guarantee (AG) contracts. We define contracts, provide new as well as known operations, and show how these operations are related. Contracts are functorial: any Boolean algebra has an associated contract algebra. We study monoid and semiring structures in contract algebra – and the mappings between such structures. We discuss the actions of a Boolean algebra on its contract algebra.
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