Journal of the ACM (JACM)
Journal of the ACM (JACM)
An Infinite Hierarchy of Context-Free Languages
Journal of the ACM (JACM)
Journal of the ACM (JACM)
Finite automata and their decision problems
IBM Journal of Research and Development
On relations defined by generalized finite automata
IBM Journal of Research and Development
Syntax directed translations and the pushdown assembler
Journal of Computer and System Sciences
Properties of syntax directed translations
Journal of Computer and System Sciences
Multitape one-way nonwriting automata
Journal of Computer and System Sciences
Journal of Computer and System Sciences
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A generalization of an abstract family of languages-abstract family of relations (AFR)-is introduced and its special cases are considered. The properties of AFR's and their special cases and their relation to abstract families of languages are studied. Many known formal schemes for description of language translations are shown to define AFRs. As an application of the concept of AFR, it is shown that the class of mappings defined by any finitely encodable abstract family of transducers can be generated from a single language over a 2-letter alphabet by pairs of finite state transductions.