Syntax error: forall x: = x & true ^ in Java

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Syntax error: forall x: = x & true ^
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14 Introduction to Parsing
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In this case the error location is slightly off the error is that = x should have the form y = x, but it is still pretty good In the case of a successful parse we get a list of ParseResults which has a single result as before we convert this to a Python list Earlier we saw some example formulas; now we will look at some of them again, this time with the result lists produced by the parser, pretty printed to help reveal their structure We mentioned before that the ~ operator has a lower precedence than the = operator so let s see if this is handled correctly by the parser
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# ~true -> ~b = c [ ['~', 'true'], '->', ['~', ['b', '=', 'c'] ] ] # ~true -> ~(b = c) [ ['~', 'true'], '->', ['~', ['b', '=', 'c'] ] ]
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Here we get exactly the same results for both formulas, which demonstrates that = has higher precedence than ~ Of course, we would need to write several more test formulas to check all the cases, but this at least looks promising Two of the formulas that we saw earlier were forall x: x = x & true and (forall x: x = x) & true, and we pointed out that although the only difference between them is the parentheses, this is suf cient to make them different formulas Here are the lists the parser produces for them:
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# forall x: x = x & true [ 'forall', 'x', [ ['x', '=', 'x'], '&', 'true' ] ] # (forall x: x = x) & true [ [ 'forall', 'x', ['x', '=', 'x'] ], '&', 'true' ]
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The parser is clearly able to distinguish between these two formulas, and creates quite different parse trees (nested lists) Without the parentheses, forall s formula is everything right of the colon, but with the parentheses, forall s scope is limited to within the parentheses But what about the two formulas that again are different only in that one has parentheses, but where the parentheses don t matter, so that the formulas are
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actually the same These two formulas are true & forall x: x = x and true & (forall x: x = x), and fortunately, when parsed they both produce exactly the same list:
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[ 'true', '&', [ 'forall', 'x', ['x', '=', 'x'] ] ]
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The parentheses don t matter here because only one valid parse is possible We have now completed the PyParsing rst-order logic parser, and in fact, all of the book s PyParsing examples If PyParsing is of interest, the PyParsing web site (pyparsingwikispacescom) has many other examples and extensive documentation, and there is also an active Wiki and mailing list In the next section we will look at the same examples as we covered in this section, but this time using the PLY parser which works in a very different way from PyParsing
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Lex/Yacc-Style Parsing with PLY
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PLY (Python Lex Yacc) is a pure Python implementation of the classic Unix tools, lex and yacc Lex is a tool that creates lexers, and yacc is a tool that creates parsers often using a lexer created by lex PLY is described by its author, David Beazley, as reasonably ef cient and well suited for larger grammars [It] provides most of the standard lex/yacc features including support for empty productions, precedence rules, error recovery, and support for ambiguous grammars PLY is straightforward to use and provides very extensive error checking PLY is available under the LGPL open source license and so can be used in most contexts Like PyParsing, PLY is not included in Python s standard library, so it must be downloaded and installed separately although for Linux users it is almost certainly available through the package management system And from PLY version 30, the same PLY modules work with both Python 2 and Python 3 If it is necessary to obtain and install PLY manually, it is available as a tarball from wwwdabeazcom/ply On Unix-like systems such as Linux and Mac OS X, the tarball can be unpacked by executing tar xvfz ply-32targz in a console (Of course, the exact PLY version may be different) Windows users can use
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