下推自动机的状态转换图与下推自动机的化简

参照有限状态自动机图形表示方式的思想方法,研究了标准下推自动机的图形表示——PAD 状态转换图,证明了下推自动机与标准下推自动机的等价性。给出了对标准下推自动机进行化简的原则,并给出了化简算法,实现了下推自动机的化简。     

基于DNA计算的分子下推自动机

DNA分子计算的工作原理是对生物系统进行编码,以生物化学反应为基础,利用生物技术实现生物系统的状态转移来推进计算过程．2001年以色列的Yaakov Benenson等人在基于DNA计算的发卡模型实现了具有状态转移功能的分子有限状态自动机,国内则有利用DNA计算的方法构造可编程分子下推存储器的相关研究．该存储器基于分子自动机的原理,能按一定逻辑进行自组装,是一种纳米尺度的生物存储机构．文中首先通过在分子有限自动机上扩展一个分子下推存储器从而获得了一种简单的分子下推自动机,并基于该下推自动机提出了一类语言的分子自动机解法．接着提出了两种改进的分子下推自动机的模型,通过增加模型复杂度,分别解决了基本型分子下推自动机存在输人字符串限制和输入分子形式不统一的问题．计算理论表明,该种下推自动机的计算能力超过了已有的有限自动机．     

上下文无关语言的可重复序列及其性质

通过分析下推自动机的运行规律和特点,提出上下文无关语言的可重复序列的概念,将其划分为平衡重复序列、增重复序列、减重复序列三类;研究了这三类可重复序列在下推自动机的状态转换图中的结构表现和性质,通过分析下推自动机状态转换图中标注回路与可重复序列之间的关系,给出求解可重复序列的计算方法;证明了不同类型的可重复序列对上下文无关语言性质的影响,利用可重复序列揭示了上下文无关语言的Pumping引理的本质特征,并给出正规语言判定的一个充分必要条件.     

LR分析的教学法探讨

LR分析法是编译程序语法分析中最常用且有效的自下而上的分析方法,理论较完善,适用于大多数上下文无关语言的分析。本文主要探讨LR分析的教学方法,采用"启发+关联式"教学法,引导学生理解LR分析的内涵。     

LR(1)文法和LBLR(1)文法语法分析表的自动生成

一、前言 LR(K)文法所产生的语言类是恰能被确定的下推自动机所接受的语言类。它不但具有文法类大的优点,而且分析速度快,查错功能强。LBLR(K)文法是LR(K)文法的子类,它在编译时占用的空间小,分析速度较快,而且在空间上有和LR(K)文法一样强的查错能力。但是,对一般文法来说,其LR(1)语法分析动作表f和走向表g、LBLR(1)语法分析动作表f_B以及走向表gR的构造是十分繁冗复杂,使用手工计算不仅要花费大量的人力和时间,而且其正确性往往得不到保证,因此,这些语法分析表的自动生成就显得十分必要。我们在美国CROMEMCO公     

基于量子逻辑的下推自动机与上下文无关文法

给出基于量子逻辑的下推自动机(e-VPDA)的概念,提出广义的子集构造方法,进而证明了一般的e-VPDA与状态转移为分明函数且具有量子终态的e-VPDA的等价性.利用此等价性,给出了量子上下文无关语言的代数刻画与层次刻画,并籍此证明了量子上下文无关语言关于正则运算的封闭性.最后,说明了量子下推自动机和量子上下文无关文法(e-VCFG)的等价性.     

含有某种限制的上下文无关文法之LR分析

本文给出一种扩充LR分析方法以使其能够处理含有嵌套限制的上下文无关文法之办法。在基于LR的分析程序中，通常要借助执行LR方法的上下文以外的语义代码处理这样的限制，由于LR方法本身就含有这样的限制，所以潜在的移动归纳与归约归约的冲突可被解决并能进一步制约认可的语言，推荐的方法很蝗于并入现有的基于LR的分析程序生成系统。     

量化上下文无关语言的代数性质

通过引入量化下推自动机与量化上下文无关文法的定义,研究了以两种不同方式接受语言的量化下推自动机等价性问题,证明了在可交换的双幺赋值幺半群上,量化下推自动机接受的语言与量化上下文无关文法生成的语言相同。     

格值下推自动机与格值上下文无关文法

引入了格值下推自动机、格值上下文无关文法及它们的语言的概念,证明了格值下推自动机以两种不同方式接受的语言类的等价性,研究了格值Chomsky范式文法、格值上下文无关文法及其派生所产生的语言的等价条件,揭示了在一定条件下,格值下推自动机接受的语言类与格值上下文无关文法产生的语言类的等价性,证明了有理格值语言均被格值下推自动机识别。     

基于DNA下推自动机二进制减法和乘法的实现

提出了基于DNA下推自动机二进制减法和乘法的实现方法.一位二进制借位减法,是通过预先构造好的DNA下推自动机模型在一个试管中以该模型的运行方式自动完成运算.m位二进制借位减法,是在一位二进制减法的基础上,按照从低位到高位的顺序,将低位产生的借位作为高位试管操作巾的输入符号串,从而完成高位的减法运算.两位二进制乘法中包含移位和加法操作,在两个试管中分别设计好DNA下推自动机模型,分别完成被乘数与乘数各位的移位操作,同时结合相应的生物操作,将其作为另一个试管加法操作中的输入符号串,则加法操作中产牛的结果即为所求.在此基础上,m位二进制乘法可通过移位操作的并行性和加法操作的串行性来完成运算.这些实现方法为DNA下推自动机实现基本的算术运算提供了比较完整的运算机制.     

The IELR(1) algorithm for generating minimal LR(1) parser tables for non-LR(1) grammars with conflict resolution

There has been a recent effort in the literature to reconsider grammar-dependent software development from an engineering point of view. As part of that effort, we examine a deficiency in the state of the art of practical LR parser table generation. Specifically, LALR sometimes generates parser tables that do not accept the full language that the grammar developer expects, but canonical LR is too inefficient to be practical particularly during grammar development. In response, many researchers have attempted to develop minimal LR parser table generation algorithms. In this paper, we demonstrate that a well known algorithm described by David Pager and implemented in Menhir, the most robust minimal LR(1) implementation we have discovered, does not always achieve the full power of canonical LR(1) when the given grammar is non-LR(1) coupled with a specification for resolving conflicts. We also detail an original minimal LR(1) algorithm, IELR(1) (Inadequacy Elimination LR(1)), which we have implemented as an extension of GNU Bison and which does not exhibit this deficiency. Using our implementation, we demonstrate the relevance of this deficiency for several real-world parser specifications, and we demonstrate the feasibility of IELR(1). Finally, we demonstrate that, if canonical LR(1) were employed instead, grammar development would be severely impeded regardless of the power of the computer hardware.     

自然语言句法分析的有界深度控制和早期剪枝

由于词汇量大、句法结构复杂，很难或无法采用列表、ＬＬ、ＬＲ等建立扫描表方法，提高自然语言句法分析的效率．在传统的自顶向下规则扫描和ＡＴＮ网络分析算法基础上，本文提出了有界深度控制早期剪枝的分析技术．该技术可有效地限制分析的搜索范围，减少回溯，提高句法分析效率．     

On a method for optimizing LR parsers

It is shown that if the basic method for eliminating single productions from canonical LR parsers developed by Pager is applied to an SLR parser and the resulting parser is free of conflicts, then the resulting parser is a valid parser which accepts exactly the strings in the language. However, if the elimination process is performed during the construction of an SLR parser, then the resulting parser may be invalid even if it were free of conflicts.     

Upper bounds on the size of LR(k) parsers

It is shown that in many cases the trivial upper bound 2^{|G|k + 1} on the number of states of an LR(k) parser for a grammar G is too conservative. In particular, if G is not right-recursive, the canonical LR(k) parser for G has at most |G^k|G|·2^|G| states. Examples of grammars with large LR(k) parsers are given.     

A scheme for lr(k) parsing with error recovery part iii: error correction

The paper is the third in a series of three papers devoted to a detailed study of LR(k) parsing with error recovery and correction. A new class of syntax errors is introduced, called (k)-local parser defined errors, which suit better than the conventional minimum distance errors for characterization of error detection and recovery in LR(k) parsing. The question whether a given string has n k-local parser defined errors for some integer n is shown to be decidable. Using the formalization of LR(k) parsing and error recovery presented in the first and the second paper in the series it is shown that the canonical LR(k) parser of an LR(k) grammar always has an error recovering extension which is able to produce a correction for any terminal string containing only (k)-local parser defined errors.     

基于神经网络语法分析

文章提出了基于神经网络理论适用于LR文法的语法分析,与传统LR分析器相比,神经网络LR分析器具有较高的性能。     

Error handling in a parallel LR substring parser

Parallel parsing is currently receiving attention but there is little discussion about the adaptation of sequential error handling techniques to these parallel algorithms. We describe a noncorrecting error handler implemented with a parallel LR substring parser. The parser used is a parallel version of Cormack's LR substring parser. The applicability of noncorrecting error handling for parallel parsing is discussed. The error information provided for a standard set of 118 erroneous Pascal programs is analysed. The programs are run on the sequential LR substring parser.     

Methods for the automatic construction of error correcting parsers

Summary Methods for the automatic construction of error handling parsers are presented. The resulting parsers are capable of correcting all syntax errors by insertion and/or deletion of terminal symbols to the right of the error location. Thus, the output of the parser always corresponds to a syntactically valid program. This contributes significantly to the reliability and robustness of a compiler. The speed of parsing correct parts of a program is not affected by the presence of the error handling capability. The correction algorithm is easy to implement. Apart from the parsing tables only one character per parser state is required to control the correction process. The method is applicable to a wide class of stack automata including LL(k), LR(k), SLR(k), and LALR(k) parsers. It is shown that for LL(k) grammars error correction can be obtained as a byproduct of the canonical LL(k) parser generation. A similar result can be obtained for LR(k) grammars if the parser generator is slightly modified. The method has been successfully added to an LALR(1) parser generator.     

Incremental generation of LR parsers

Implementation of a new compiler usually requires making frequent adjustments to grammar definitions. An incremental technique for updating the parser tables after a monor change to the grammer could potentially save much computational effort. More importantly, debugging a grammar is made easier if the grammar is re-checked for correctness after each small change to the grammar. The basic design philosophy of an incremental parser generator, and incremental algorithms for LR(0), SLR(1) and LALR(1) parser generation are discussed in this paper. Some of these algorithms have been incorporated into an implementation of an incremental LALR(1) parser generator.     

Even faster lr parsing

Conventional LR parser generators create tables which are used to drive a standard parser procedure. Much faster parsers can be obtained by compiling the table entries into code that is directly executed. A possible drawback with a directly executable parser is its large size. In this paper, we introduce optimization techniques that increase the parsing speed even further while simultaneously reducing the size of the parser.