The equivalence of reducing transition languages and deterministic languages

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Abstract
Cite
Schkolnick, Mario. “The Equivalence of Reducing Transition Languages and Deterministic Languages”. Communications of the ACM, vol. 17, no. 9, 1974, pp. 517-20, https://doi.org/10.1145/361147.361110.
Schkolnick, M. (1974). The equivalence of reducing transition languages and deterministic languages. Communications of the ACM, 17(9), 517-520. https://doi.org/10.1145/361147.361110
Schkolnick M. The equivalence of reducing transition languages and deterministic languages. Communications of the ACM. 1974;17(9):517-20.
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Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
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Computer hardware
Description

Bridging the gap between language classes! This paper demonstrates the equivalence between reducing transition languages and deterministic context-free languages. Expanding on prior work, the authors establish that the class of reducing transition languages is not merely a superclass but, in fact, possesses the same expressive power as deterministic context-free languages. The research methodology involves rigorous mathematical proofs and formal language theory. By establishing a direct correspondence between these two language classes, the paper offers new insights into their computational properties. This finding has implications for compiler design, parsing techniques, and the broader understanding of formal languages. It contributes to the ongoing efforts to classify and characterize the capabilities of different language models in computer science.

Appearing in Communications of the ACM, this theoretical paper is relevant to the journal's focus on formal languages and compiler design. By proving the equivalence of two language classes, the research contributes to the understanding of language processing and computational power, topics of considerable interest to the journal's audience of computer scientists and language theorists.

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