A Polynomial Time Extension of Parallel Multiple Context-Free Grammar

It is already known that parallel multiple context-free grammar (PMCFG) [1] is an instance of the equivalent formalisms simple literal movement grammar (sLMG) [2, 3] and range concatenation grammar (RCG) [4, 5]. In this paper we show that by adding the single operation of intersection, borrowed from...

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description It is already known that parallel multiple context-free grammar (PMCFG) [1] is an instance of the equivalent formalisms simple literal movement grammar (sLMG) [2, 3] and range concatenation grammar (RCG) [4, 5]. In this paper we show that by adding the single operation of intersection, borrowed from conjunctive grammar [6], PMCFG becomes equivalent to sLMG and RCG. As a corollary we get that PMCFG with intersection describe exactly the class of languages recognizable in polynomial time.
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subjects Applied sciences
Artificial intelligence
Computer science
control theory
systems
Concrete Syntax
Exact sciences and technology
Grammar Formalism
Input String
Intersection Operation
Linearization Type
Speech and sound recognition and synthesis. Linguistics
title A Polynomial Time Extension of Parallel Multiple Context-Free Grammar
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