2,501 research outputs found
On the Relation between Context-Free Grammars and Parsing Expression Grammars
Context-Free Grammars (CFGs) and Parsing Expression Grammars (PEGs) have
several similarities and a few differences in both their syntax and semantics,
but they are usually presented through formalisms that hinder a proper
comparison. In this paper we present a new formalism for CFGs that highlights
the similarities and differences between them. The new formalism borrows from
PEGs the use of parsing expressions and the recognition-based semantics. We
show how one way of removing non-determinism from this formalism yields a
formalism with the semantics of PEGs. We also prove, based on these new
formalisms, how LL(1) grammars define the same language whether interpreted as
CFGs or as PEGs, and also show how strong-LL(k), right-linear, and LL-regular
grammars have simple language-preserving translations from CFGs to PEGs
Finite Automata for the Sub- and Superword Closure of CFLs: Descriptional and Computational Complexity
We answer two open questions by (Gruber, Holzer, Kutrib, 2009) on the
state-complexity of representing sub- or superword closures of context-free
grammars (CFGs): (1) We prove a (tight) upper bound of on
the size of nondeterministic finite automata (NFAs) representing the subword
closure of a CFG of size . (2) We present a family of CFGs for which the
minimal deterministic finite automata representing their subword closure
matches the upper-bound of following from (1).
Furthermore, we prove that the inequivalence problem for NFAs representing sub-
or superword-closed languages is only NP-complete as opposed to PSPACE-complete
for general NFAs. Finally, we extend our results into an approximation method
to attack inequivalence problems for CFGs
The Mystro system: A comprehensive translator toolkit
Mystro is a system that facilities the construction of compilers, assemblers, code generators, query interpretors, and similar programs. It provides features to encourage the use of iterative enhancement. Mystro was developed in response to the needs of NASA Langley Research Center (LaRC) and enjoys a number of advantages over similar systems. There are other programs available that can be used in building translators. These typically build parser tables, usually supply the source of a parser and parts of a lexical analyzer, but provide little or no aid for code generation. In general, only the front end of the compiler is addressed. Mystro, on the other hand, emphasizes tools for both ends of a compiler
Practical Ambiguity Detection for Context-Free Grammars
The use of unconstrained context-free grammars for generalized parsing techniques has several advantages over traditional grammar classes, but comes with the danger of undiscovered ambiguities. The ambiguity problem for these grammars is undecidable in the general case, but this does not have to be a problem in practice. Our goal is to find ambiguity detection techniques that have sufficient precision and performance to make them suitable for practical use on realistic grammars. We give a short overview of related work, and propose new directions for improvement
The Usability of Ambiguity Detection Methods for Context-Free Grammars
One way of verifying a grammar is the detection of ambiguities. Ambiguities are not always unwanted, but they can only be controlled if their sources are known. Unfortunately, the ambiguity problem for context-free grammars is undecidable in the general case. Various ambiguity detection methods (ADMs) exist, but they can never be perfect. In this paper we explore three ADMs to test whether they still can be of any practical value: the derivation generator AMBER, the LR(k) test and the Noncanonical Unambiguity test. We benchmarked their implementations on a collection of ambiguous and unambiguous grammars of different sizes and compa
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