This article could probably be called “Left Recursion Considered Harmful“. PEG parsers are unambiguous and relatively easy to reason about. A little reasoning about left-recursive PEGs shows that they don’t make sense. The motivation to use left recursion seems to be driven by the desire to build left-associative parse-trees for arithmetic operators. However, parse-tree generation […]
Parsing Expression Grammars, part 3
We build on the parsers from part 2 of this series to enhance and extend their capability. In particular, we extend the concept of modular grammars to construct chains of parsers which define a multi-stage transformation pipeline. The parsers forming these chain are enhanced to match and transform tree-structures, rather than being limited to simple […]
Parsing Expression Grammars, part 2
It’s usually not enough to simply recognize patterns in an input stream. Soon we will want to take action based on what we recognize. In order to facilitate this, we will begin creating semantic values from the input tokens and trigger semantic actions when certain patterns are recognized. In part 1 of this series we […]
Parsing Expression Grammars, part 1
Parsing Expression Grammars (PEGs) define a powerful class of matchers for recognizing strings of a formal language [1]. They’re well suited to parsing the syntax of computer languages. PEG-based tools like OMeta [2] have been successfully applied to a wide variety of transformation problems [3] [4]. The fundamental elements of PEGs can be described compactly […]