Automated reasoning with ordinary assertions and default assumptions

D. V. Heule, A. Hoogewijs
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Abstract

In this paper, we explain the use of PPC NAT, a three-valued first-order object logic (PPC) implemented in Isabelle, for reasoning with undefined expressions. This kind of expressions can be found in default logic where deductions are divided from facts (which are true) together with a set of assumptions (defaults), which can be true. The main features of our system are: the ability to formalize default assumptions and to reason about them automatically.
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使用普通断言和默认假设进行自动推理
在本文中,我们解释了使用PPC NAT,一个三值一阶对象逻辑(PPC)在Isabelle中实现,对未定义表达式进行推理。这种表达式可以在默认逻辑中找到,其中演绎从事实(为真)和一组可能为真的假设(默认)中分离出来。我们的系统的主要特点是:能够形式化默认假设,并自动对它们进行推理。
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