Coalgebraic Semantics for Parallel Derivation Strategies in Logic Programming

Coalgebraic Semantics for Parallel Derivation Strategies in Logic Programming
复制标题

逻辑编程中并行推导策略的代数语义

DOI:
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发表时间:
2010
期刊:
International Conference on Algebraic Methodology and Software Technology
影响因子:
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通讯作者:
J. Power
J. Power
中科院分区:
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文献类型:
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作者:
Ekaterina Komendantskaya;G. McCusker;J. Power

文献摘要

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逻辑编程是一种基于一阶逻辑的一类编程语言,为面向目标的证明搜索提供了简单有效的工具。逻辑编程支持递归计算,一些逻辑程序类似于用功能编程语言编写的归纳或共同传感定义。在本文中,我们为逻辑编程提供了煤层语义。我们表明,地面逻辑程序可以通过set上的PFPF -Coalgebras或PF ListCoalgebras建模。我们分析了逻辑编程中使用的不同种类的推导策略和衍生树(验证树,SLD-Trees和 - 或平行树),并展示如何通过煤层建模它们。
Logic programming, a class of programming languages based on first-order logic, provides simple and efficient tools for goal-oriented proof-search. Logic programming supports recursive computations, and some logic programs resemble the inductive or coinductive definitions written in functional programming languages. In this paper, we give a coalgebraic semantics to logic programming. We show that ground logic programs can be modelled by either PfPf -coalgebras or Pf Listcoalgebras on Set. We analyse different kinds of derivation strategies and derivation trees (proof-trees, SLD-trees, and-or parallel trees) used in logic programming, and show how they can be modelled coalgebraically.