Nondeterministic three-valued logic: Isotonic and guarded truth-functions

Studia Logica 42 (1):1 - 22 (1983)
Nondeterministic programs occurring in recently developed programming languages define nondeterminate partial functions. Formulas (Boolean expressions) of such nondeterministic languages are interpreted by a nonempty subset of {T (true), F (false), U (undefined)}. As a semantic basis for the propositional part of a corresponding nondeterministic three-valued logic we study the notion of a truth-function over {T, F, U} which is computable by a nondeterministic evaluation procedure. The main result is that these truth-functions are precisely the functions satisfying four basic properties, called -isotonic, –-isotonic, hereditarily guarded, and hereditarily guard-using, and that a function satisfies these properties iff it is explicitly definable (in a certain normal form) from, binary choice, and constants.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01418755
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 31,446
Through your library
References found in this work BETA
An Algebraic Approach to Non-Classical Logics.Helena Rasiowa - 1974 - Warszawa, Pwn - Polish Scientific Publishers.
Many-Valued Logic.Nicholas Rescher - 1969 - New York: Mcgraw-Hill.
Mathematical Theory of Computation.Zohar Manna - 1979 - Journal of Symbolic Logic 44 (1):122-124.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Added to PP index

Total downloads
22 ( #256,589 of 2,226,330 )

Recent downloads (6 months)
2 ( #255,041 of 2,226,330 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature