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Formal Verification of n-bit ALU Using Theorem Proving

机译:使用定理证明对n位ALU进行形式验证

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Automatic verification techniques, like automated theorem proving and model checking, cannot analyze large circuits due to the heavy requirements of memory and computational power. On the other hand, we can verify generic circuits, with universally quantified variables, using interactive theorem provers and thus overcome the above-mentioned limitations but at the cost of significant user guidance in the proof process. To facilitate this process and thus reduce the user involvement in the proofs, we recently proposed a higher-order-logic formalization of all the commonly used combinational circuits, like basic gates, adders, multiplier, multiplexers, demultiplexers, decoders and encoders, using the HOL4 theorem prover. In this project's paper, we describe this formally verified library and illustrate its utilization by verifying an n-bit arithmetic logic unit (ALU).
机译:由于内存和计算能力的高要求,自动验证技术(如自动定理证明和模型检查)无法分析大型电路。另一方面,我们可以使用交互式定理证明器来验证具有通用量化变量的通用电路,从而克服了上述限制,但以在验证过程中花费大量用户指导为代价。为了简化此过程,从而减少用户参与证明,我们最近提出了一种对所有常用组合电路的高阶逻辑形式化方法,例如基本门,加法器,乘法器,多路复用器,解复用器,解码器和编码器,并使用HOL4定理证明者。在该项目的论文中,我们描述了这个经过正式验证的库,并通过验证n位算术逻辑单元(ALU)来说明其用法。

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