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2011•arXiv (Cornell University)Open access

Parsing Reflective Grammars

Paul Stansifer, Mitchell Wand

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Abstract

Existing technology can parse arbitrary context-free grammars, but only a single, static grammar per input. In order to support more powerful syntax-extension systems, we propose reflective grammars, which can modify their own syntax during parsing. We demonstrate and prove the correctness of an algorithm for parsing reflective grammars. The algorithm is based on Earley's algorithm, and we prove that it performs asymptotically no worse than Earley's algorithm on ordinary context-free grammars.

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Existing technology can parse arbitrary context-free grammars, but only a single, static grammar per input. In order to support more powerful syntax-extension systems, we propose reflective grammars, which can modify their own syntax during parsing. We demonstrate and prove the correctness of an algorithm for parsing reflective grammars. The algorithm is based on Earley's algorithm, and we prove that it performs asymptotically no worse than Earley's algorithm on ordinary context-free grammars.

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Available abstract

Existing technology can parse arbitrary context-free grammars, but only a single, static grammar per input. In order to support more powerful syntax-extension systems, we propose reflective grammars, which can modify their own syntax during parsing. We demonstrate and prove the correctness of an algorithm for parsing reflective grammars. The algorithm is based on Earley's algorithm, and we prove that it performs asymptotically no worse than Earley's algorithm on ordinary context-free grammars.

Key concepts: L-attributed grammar, Parsing expression grammar, Computer science, Indexed grammar, Parsing, Context-free grammar, Rule-based machine translation, Programming language

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