General Alphabets: The Theory of Push-down Automata and Context-free Languages

J. Richard Büchi and Dirk Siefkes
Additional contact information
J. Richard Büchi: Purdue University, Computer Science Department
Dirk Siefkes: Technische Universität Berlin, Fachbereich Informatik

Chapter Chapter 7 in Finite Automata, Their Algebras and Grammars, 1989, pp 271-292 from Springer

Abstract: Abstract In Chapter 6 we outlined the theory of term acceptor as based on the right-Polish notation. It is obvious how matters would have to be modified were we to use left-Polish notation. Although these elegant notations are now often used in mathematics (especially in general algebra and topology), they are not the classic terms. These make use of mated signs, such as the parent (and the thesis). Now imagine what an analyst, schoolboy, or machine user would do to you, were you to spell x y + 2 x 22x • y • +y 2 + = in place of (x + y)2 = x 2 + 2 • x• y + y 2. I would not like you either. The classic notation clearly possesses intrinsic merits that go far beyond more familiarity. This comes from its natural growth under the guidance of understanding parents such as Leibniz. True, it does not accommodate ternary operations (i.e., quaternary relations). But these do not naturally occur often, and can be replaced by binary operations (i.e., ternary relations). This is Peirce’s principle of thirdness.

Keywords: Terminal Symbol; Input Tape; Inside Production; Polish Notation; Post Correspondence Problem (search for similar items in EconPapers)
Date: 1989
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-8853-1_7

Ordering information: This item can be ordered from
http://www.springer.com/9781461388531

DOI: 10.1007/978-1-4613-8853-1_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().