Detecting cycles in Syntax Directed Definitions.. Exponential? - parsing

I was studying Syntax Directed Definition from the "Compilers: Principles, Techniques and Tools by Aho, Ullman, Sethi and Lam" when I came across the following line in context of circular dependencies of attributes in parse tree:
It is computationally difficult to determine whether or not there exist any circularities in any of the parse trees that a given SDD could have to translate.
(section: 5.1.2)
Also in http://cs.nyu.edu/courses/fall12/CSCI-GA.2130-001/lecture8.pdf it is mentioned that
Detecting cycles has exponential time complexity
But there is Tarjan's strongly connected components algorithm that can find cycles in O(E+V). So why are the above sources contradicting this?
Can anyone tell me what I am missing?

It's O(E+V) to find a cycle in some parse tree. But that's not the problem. The problem is to
determine whether or not there exist any circularities in any of the parse trees that a given SDD could have to translate. (Emphasis added).
That's a rather more difficult problem.

Related

Partial parsing with flex/antlr

I encountered a problem while doing my student research project. I'm an electrical engineering student, but my project has somewhat to do with theoretical computer science: I need to parse a lot of pascal sourcecode-files for typedefinitions and constants and visualize all occurrences. The typedefinitions are spread recursively over various files, i.e. there is type a = byte in file x, in file y, there is a record (struct) b, that contains type a and then there is even a type c in file z that is an array of type b.
My idea so far was to learn about compiler construction, since the compiler has to resolve all typedefinitions and break them down to the elemental types.
So, I've read about compiler construction in two books (one of which is even written by the pascal inventor), but I'm lacking so many basics of theoretical computer science that it took me one week alone to work my way halfway through. What I've learned so far is that for achieving my goal, lexer and parser should be sufficient. Since this software is only a really smart part of the whole project, I can't spend so much time with it, so I started experimenting with flex and later with antlr.
My hope was, that parsing for typedefinitions only was such an easy task, that I could manage to do it with only using a scanner and let it do some parser's work: The pascal-files consist of 5 main-parts, each one being optional: A header with comments, a const-section, a type-section, a var-section and (in least cases) a code-section. Each section has a start-identifier but no clear end-identifier. So I started searching for the start of the type- and const-section (TYPE, CONST), discarding everything else. In flex, this is fairly easy, because it allows "start conditions". They can be used as various states like "INITIAL", "TYPE-SECTION", "CONST-SECTION" and "COMMENT" with different rules for each state. I wanted to get back a string from the scanner with following syntax " = ". There was one thing that made this task difficult: Some type contain comments like in this example: AuEingangsBool_t {PCMON} = MAX_AuEingangsFeld;. The scanner can not extract such type-definition with a regular expression.
My next step was to do it properly with scanner AND parser, so I searched for a parsergenerator and found antlr. Since I write the tool in C# anyway, I decided to use its scannergenerator, too, so that I do not have to communicate between different programs. Now I encountered following Problem: AFAIK, antlr does not support "start conditions" as flex do. That means, I have to scan the whole file (okay, comments still get discarded) and get a lot of unneccessary (and wrong) tokens. Because I don't use rules for the whole pascal grammar, the scanner would identify most keywords of the pascal syntax as user-identifiers and the parser would nag about all those series of tokens, that do not fit to type- and constant-defintions
Now, finally my question(s): Can anyone of you tell me, which approach leads anywhere for my project? Is there a possibility to scan only parts of the source-files with antlr? Or do I have to connect flex with antlr for that purpose? Can I tell antlr's parser to ignore every token that is not in the const- or type-section? Are those tools too powerful for my task and should I write own routines instead?
You'd be better off to find a compiler for Pascal, and simply modify to report the information you want. Presumably there is such a compiler for your Pascal, and often the source code for such compilers is available.
Otherwise you essentially need to build a parser. Building lexer, and then hacking around with the resulting lexemes, is essentially building a bad parser by ad hoc methods. ANTLR is a good way to go; you can define the lexemes (including means to pick up and ignore comments) pretty easily, especially for older dialects of Pascal. You'll need good BNF rules for the type information that you want, and translate those rules to the parser generator. What you can do to minimize work, is to cheat on rules for the parts of the language you don't care about. For instance, you could write an accurate subgrammar for assignment statements. Since you don't care about them, you can write a sloppy subgrammar that treats assignment statements as anything that begins with an identifier, is followed by arbitrary other tokens, and ends with semicolon. This kind of a grammar is called an "island grammar"; it is only accurate where it needs to be accurate.
I don't know about the recursive bit. Is there a reason you can't just process each file separately? The answer may depend on what information you want to know about each type declaration, and if you go deep enough, you may need a symbol table as well as an island parser. Parser generators offer you no help for this.
First, there can be type and const blocks within other blocks (procedures, in later Delphi versions also classes).
Moreover, I'm not entirely sure that you can actually simply scan for a const token, and then start parsing. Const is also used for other purposes in most common (Borland) Pascal dialects. Some keywords can be reused in a different context, and if you don't parse the global blockstructure, and only look for const and type in specific places you will erroneously start parsing there.
A base problem of course is the comments. Scanners cut out comments as early as possible, and don't regard them further. You probably have to setup the scanner so that comments are attached to the adjacent tokens as field (associate with token before or save them up till a certain token follows).
As far antlr vs flex, no clue. The only parsergenerator I have some minor experience in parsing Pascal with is Coco/R (a parsergenerator popular by Wirthians), but in general I (and many pascalians) prefer handcoded.

Missing words in Stanford NLP dependency tree parser

I'm making an application using a dependency tree parser. Actually, the parser is this one:
Parser Stanford, but it rarely change one or two letters of some words in a sentence that I want to parse. This is a big trouble for me, because I can't see any pattern in these changes and I need the dependency tree with the same words of my sentence.
All I can see is that just some words have these problems. I'm working with a tweets database. So, I have a lot of grammar mistakes in this data. For example the hashtag '#AllAmericanhumour ' becomes AllAmericanhumor. It misses one letter(u).
Is there anything I can do to solve this problem? In my first view I thought using an edit distance algorithm, but I think that might be an easier way to do it.
Thanks everybody in advance
You can give options to the tokenizer with the -tokenize.options flag/property. For this particular normalization, you can turn it off with
-tokenize.options americanize=false
There are also various other normalizations that you can turn off (see PTBTokenizer or http://nlp.stanford.edu/software/tokenizer.shtml. You can turn off a lot with
-tokenize.options ptb3Escaping=false
However, the parser is trained on data that looks like the output of ptb3Escaping=true and so will tend to degrade in performance if used with unnormalized tokens. So, you may want to consider alternative strategies.
If you're working at the Java level, you can look at the word tokens, which are actually Maps, and they have various keys. OriginalTextAnnotation will give you the unnormalized token, even when it has been normalized. CharacterOffsetBeginAnnotation and CharacterOffsetEndAnnotation will map to character offsets into the text.
p.s. And you should accept some answers :-).

Computer AI algorithm to write sentences?

I am searching for information on algorithms to process text sentences or to follow a structure when creating sentences that are valid in a normal human language such as English. I would like to know if there are projects working in this field that I can go learn from or start using.
For example, if I gave a program a noun, provided it with a thesaurus (for related words) and part-of-speech (so it understood where each word belonged in a sentence) - could it create a random, valid sentence?
I'm sure there are many sub-sections of this kind of research so any leads into this would be great.
The field you're looking for is called natural language generation, a subfield of natural language processing
http://en.wikipedia.org/wiki/Natural_language_processing
Sentence generation is either really easy or really hard depending on how good you want the sentences to be. Currently, there aren't programs that will be able to generate 100% sensible sentences about given nouns (even with a thesaurus) -- if that is what you mean.
If, on the other hand, you would be satisfied with nonsense that was sometimes ungrammatical, then you could try an n-gram based sentence generator. These just chain together of words that tend to appear in sequence, and 3-4-gram generators look quite okay sometimes (although you'll recognize them as what generates a lot of spam email).
Here's an intro to the basics of n-gram based generation, using NLTK:
http://www.nltk.org/book/ch02.html#generating-random-text-with-bigrams
This is called NLG (Natural Language Generation), although that is mainly the task of generating text that describes a set of data. There is also a lot of research on completely random sentence generation as well.
One starting point is to use Markov chains to generate sentences. How this is done is that you have a transition matrix that says how likely it is to transition between every every part-of-speech. You also have the most likely starting and ending part-of-speech of a sentence. Put this all together and you can generate likely sequences of parts-of-speech.
Now, you are far from done, this will first of all not offer a very good result as you are only considering the probability between adjacent words (also called bi-grams), so what you want to do is to extend this to look for instance at the transition matrix between three parts-of-speech (this makes a 3D matrix and gives you trigrams). You can extend it to 4-grams, 5-grams, etc. depending on the processing power and if your corpus can fill such matrix.
Lastly, you need to patch up things such as object agreement (subject-verb-agreement, adjective-verb-agreement (not in English though), etc.) and tense, so that everything is congruent.
Yes. There is some work dealing with solving problems in NLG with AI techniques. As far as I know, currently, there is no method that you can use for any practical use.
If you have the background, I suggest getting familiar with some work by Alexander Koller from Saarland University. He describes how to code NLG to PDDL. The main article you'll want to read is "Sentence generating as a planning problem".
If you do not have any background in NLP, just search for the online courses or course materials by Michael Collings or Dan Jurafsky.
Writing random sentences is not that hard. Any parser textbook's simple-english-grammar example can be run in reverse to generate grammatically correct nonsense sentences.
Another way is the word-tuple-random-walk, made popular by the old BYTE magazine TRAVESTY, or stuff like
http://www.perlmonks.org/index.pl?node_id=94856

Probabilistic Generation of Semantic Networks

I've studied some simple semantic network implementations and basic techniques for parsing natural language. However, I haven't seen many projects that try and bridge the gap between the two.
For example, consider the dialog:
"the man has a hat"
"he has a coat"
"what does he have?" => "a hat and coat"
A simple semantic network, based on the grammar tree parsing of the above sentences, might look like:
the_man = Entity('the man')
has = Entity('has')
a_hat = Entity('a hat')
a_coat = Entity('a coat')
Relation(the_man, has, a_hat)
Relation(the_man, has, a_coat)
print the_man.relations(has) => ['a hat', 'a coat']
However, this implementation assumes the prior knowledge that the text segments "the man" and "he" refer to the same network entity.
How would you design a system that "learns" these relationships between segments of a semantic network? I'm used to thinking about ML/NL problems based on creating a simple training set of attribute/value pairs, and feeding it to a classification or regression algorithm, but I'm having trouble formulating this problem that way.
Ultimately, it seems I would need to overlay probabilities on top of the semantic network, but that would drastically complicate an implementation. Is there any prior art along these lines? I've looked at a few libaries, like NLTK and OpenNLP, and while they have decent tools to handle symbolic logic and parse natural language, neither seems to have any kind of proabablilstic framework for converting one to the other.
There is quite a lot of history behind this kind of task. Your best start is probably by looking at Question Answering.
The general advice I always give is that if you have some highly restricted domain where you know about all the things that might be mentioned and all the ways they interact then you can probably be quite successful. If this is more of an 'open-world' problem then it will be extremely difficult to come up with something that works acceptably.
The task of extracting relationship from natural language is called 'relationship extraction' (funnily enough) and sometimes fact extraction. This is a pretty large field of research, this guy did a PhD thesis on it, as have many others. There are a large number of challenges here, as you've noticed, like entity detection, anaphora resolution, etc. This means that there will probably be a lot of 'noise' in the entities and relationships you extract.
As for representing facts that have been extracted in a knowledge base, most people tend not to use a probabilistic framework. At the simplest level, entities and relationships are stored as triples in a flat table. Another approach is to use an ontology to add structure and allow reasoning over the facts. This makes the knowledge base vastly more useful, but adds a lot of scalability issues. As for adding probabilities, I know of the Prowl project that is aimed at creating a probabilistic ontology, but it doesn't look very mature to me.
There is some research into probabilistic relational modelling, mostly into Markov Logic Networks at the University of Washington and Probabilstic Relational Models at Stanford and other places. I'm a little out of touch with the field, but this is is a difficult problem and it's all early-stage research as far as I know. There are a lot of issues, mostly around efficient and scalable inference.
All in all, it's a good idea and a very sensible thing to want to do. However, it's also very difficult to achieve. If you want to look at a slick example of the state of the art, (i.e. what is possible with a bunch of people and money) maybe check out PowerSet.
Interesting question, I've been doing some work on a strongly-typed NLP engine in C#: http://blog.abodit.com/2010/02/a-strongly-typed-natural-language-engine-c-nlp/ and have recently begun to connect it to an ontology store.
To me it looks like the issue here is really: How do you parse the natural language input to figure out that 'He' is the same thing as "the man"? By the time it's in the Semantic Network it's too late: you've lost the fact that statement 2 followed statement 1 and the ambiguity in statement 2 can be resolved using statement 1. Adding a third relation after the fact to say that "He" and "the man" are the same is another option but you still need to understand the sequence of those assertions.
Most NLP parsers seem to focus on parsing single sentences or large blocks of text but less frequently on handling conversations. In my own NLP engine there's a conversation history which allows one sentence to be understood in the context of all the sentences that came before it (and also the parsed, strongly-typed objects that they referred to). So the way I would handle this is to realize that "He" is ambiguous in the current sentence and then look back to try to figure out who the last male person was that was mentioned.
In the case of my home for example, it might tell you that you missed a call from a number that's not in its database. You can type "It was John Smith" and it can figure out that "It" means the call that was just mentioned to you. But if you typed "Tag it as Party Music" right after the call it would still resolve to the song that's currently playing because the house is looking back for something that is ITaggable.
I'm not exactly sure if this is what you want, but take a look at natural language generation wikipedia, the "reverse" of parsing, constructing derivations that conform to the given semantical constraints.

How do you think the "Quick Add" feature in Google Calendar works?

Am thinking about a project which might use similar functionality to how "Quick Add" handles parsing natural language into something that can be understood with some level of semantics. I'm interested in understanding this better and wondered what your thoughts were on how this might be implemented.
If you're unfamiliar with what "Quick Add" is, check out Google's KB about it.
6/4/10 Update
Additional research on "Natural Language Parsing" (NLP) yields results which are MUCH broader than what I feel is actually implemented in something like "Quick Add". Given that this feature expects specific types of input rather than the true free-form text, I'm thinking this is a much more narrow implementation of NLP. If anyone could suggest more narrow topic matter that I could research rather than the entire breadth of NLP, it would be greatly appreciated.
That said, I've found a nice collection of resources about NLP including this great FAQ.
I would start by deciding on a standard way to represent all the information I'm interested in: event name, start/end time (and date), guest list, location. For example, I might use an XML notation like this:
<event>
<name>meet Sam</name>
<starttime>16:30 07/06/2010</starttime>
<endtime>17:30 07/06/2010</endtime>
</event>
I'd then aim to build up a corpus of diary entries about dates, annotated with their XML forms. How would I collect the data? Well, if I was Google, I'd probably have all sorts of ways. Since I'm me, I'd probably start by writing down all the ways I could think of to express this sort of stuff, then annotating it by hand. If I could add to this by going through friends' e-mails and whatnot, so much the better.
Now I've got a corpus, it can serve as a set of unit tests. I need to code a parser to fit the tests. The parser should translate a string of natural language into the logical form of my annotation. First, it should split the string into its constituent words. This is is called tokenising, and there is off-the-shelf software available to do it. (For example, see NLTK.) To interpret the words, I would look for patterns in the data: for example, text following 'at' or 'in' should be tagged as a location; 'for X minutes' means I need to add that number of minutes to the start time to get the end time. Statistical methods would probably be overkill here - it's best to create a series of hand-coded rules that express your own knowledge of how to interpret the words, phrases and constructions in this domain.
It would seem that there's really no narrow approach to this problem. I wanted to avoid having to pull along the entirety of NLP to figure out a solution, but I haven't found any alternative. I'll update this if I find a really great solution later.

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