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Some Algebraic Aspects of Assume-Guarantee Reasoning

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arxiv 2309.08875 v1 pith:B2VV6RIC submitted 2023-09-16 cs.LO cs.SYeess.SY

Inigo Incer , Albert Benveniste , Alberto Sangiovanni-Vincentelli This is my paper · ORCID
classification cs.LOcs.SYeess.SY
keywords algebracontractcontractsassume-guaranteebooleanoperationsstructuresactions
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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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