Definability by deterministic and non-deterministic programs (with applications to first-order dynamic logic)

Q4 Mathematics 信息与控制 Pub Date : 1985-05-01 DOI:10.1016/S0019-9958(85)80002-4
A.J. Kfoury
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引用次数: 11

Abstract

We make explicit a connection between the “unwind property” and first-order logics of programs. Using known results on the unwind property, we can then quickly compare various logics of programs. In Section 1, we give a sample of these comparative results, which are already known but established differently in this paper. In Sections 2 and 3, given an arbitrary deterministic regular program S (with or without parameterless recursive calls), we show how to construct a first-order structure where S will unwind. Based on this construction, we then prove that the logic of regular programs (with or without parameterless recursive calls) is more expressive than the logic of deterministic regular programs (with or without parameterless recursive calls, respectively).

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确定性和非确定性程序的可定义性(应用于一阶动态逻辑)
我们明确地将“unwind属性”与程序的一阶逻辑联系起来。使用unwind属性上的已知结果,我们可以快速比较程序的各种逻辑。在第1节中,我们给出了这些比较结果的一个样本,这些结果是已知的,但在本文中建立的不同。在第2节和第3节中,给定一个任意的确定性正则程序S(有或没有无参数递归调用),我们将展示如何构造一个一阶结构,其中S将展开。基于这种构造,我们证明了常规程序的逻辑(有或没有无参数递归调用)比确定性常规程序的逻辑(分别有或没有无参数递归调用)更具表现力。
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来源期刊
信息与控制
信息与控制 Mathematics-Control and Optimization
CiteScore
1.50
自引率
0.00%
发文量
4623
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