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A Timing Refinement of Intuitionistic Proofs and its Application to the Timing Analysis of Combinational Circuits

机译:直观证明的时序细化及其在组合电路时序分析中的应用

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Up until now classical logic has been the logic of choice in formal hardware verification. This paper advances the application of intu-itionistic logic to the timing analysis of digital circuits. The intuitionistic setting serves two purposes at the same time. The model-theoretic prop-erties are. exploited to handle the second-order nature of bounded delays in a purely prepositional setting without need to introduce explicit time and temporal operators. The proof theoretic properties are exploited to extract quantitative timing information and to reintroduce explicit time in a convenient and systematic way. We present a natural Kripke-style semantics for intuitionistic proposi-tional logic, as a special case of a Kripke constraint model for Proposi-tional Lax Logic [4], in which validity is validity up to stabilization. We show that this semantics is equivalently characterized in terms of sta-bilization bounds so that implication D comes out as "boundedly gives rise lo," An intensional semantics for proofs is presented which allows us effectively to compute quantitative stabilization bounds. We discuss the application of the theory to the timing analysis of combi-national circuits. To test our ideas we have implemented an experimental prototype tool and run several simple examples. Proofs are omitted as they appear in an extended technical report [13].
机译:到目前为止,古典逻辑一直是正式硬件验证中选择的逻辑。本文推进了Intu-Itionistic Logic在数字电路时序分析的应用。直觉设置同时为两个目的服务。模型 - 理论的prop-erties是。剥削以处理纯粹的介词设置中有界延迟的二阶性质,而无需引入明确的时间和时间运算符。证明理论属性被利用以提取定量定时信息并以方便和系统的方式重新引入明确时间。我们为直觉典型的预测逻辑提供了一种自然的Kripke语义,作为预测LAX逻辑[4]的Kripke约束模型的特殊情况,其中有效性是稳定的有效性。我们表明,在STA胆量界限方面,该语义是等效的,使得暗示D出现在“偏向发出LO”中,提出了一种允许我们有效地计算定量稳定界限的密封语义。我们讨论了理论在组合国家电路时机分析中的应用。要测试我们的想法,我们已经实现了一个实验原型工具并运行了几个简单的例子。在扩展技术报告中出现的证明,省略了证明[13]。

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