Examples of 'infinitary' in a sentence
Meaning of "infinitary"
infinitary (adjective) - Related to or characteristic of the infinite or involving the concept of infinity
Show more definitions
- Of or pertaining to expressions of infinite length
How to use "infinitary" in a sentence
Basic
Advanced
infinitary
Infinitary logic allows infinitely long sentences.
These functions and relations could be infinitary.
Everything that is infinitary should have a finite representation.
Objects are finitary but their effects could be infinitary.
Two infinitary logics stand out in their completeness.
The most well studied infinitary logic is.
We are interested in infinitary computational processes which have finitary representations.
Concrete categories and infinitary languages.
You have rules of inferential logic which are always finitary or they might be infinitary.
We are looking at infinitary objects as functions.
Giving a finitary representation to what you might consider infinitary objects.
There are of course infinitary objects which will have no finite representations.
Equational compactness in infinitary algebras.
What kinds of infinitary objects are we normally concerned with?
Concepts expressible in infinitary logic.
See also
In particular, infinitary logics may fail to be compact or complete.
Here is a case of our finitary specification as opposed to this infinitary specification.
Complete infinitary logics.
Gödel sets can also be used to encode formulas in infinitary languages.
We are interested in those kinds of infinitary objects which somehow have finitary representations.
We give only those logical axiom schemata specific to infinitary logic.
Similarly, an infinitary operation is one with an infinite number of input values.
The logical axiom schemata specific to infinitary logic are presented below.
We are interested in programming languages which allow for finitary representation of inherently infinitary objects.
Ordinal analysis allows one to measure precisely the infinitary content of the consistency of theories.
Therefore for infinitary logics, notions of strong compactness and strong completeness are defined.
Therefore these terms are usually only used in the context of infinitary logic.
Specification of essentially an infinitary object, the even numbers.
If you look at propositional logic, it does not allow you to specify infinitary objects.
Many different versions of infinitary logic were proposed in the late 20th century.
We also find a new way of calculating the type distance of infinitary continuous logic.
These are not, however, the only infinitary logics that have been formulated or studied.
This may involve the weakening of the above conditions or the extension to infinitary operations.
Conventional infinitary accounts of non-standard analysis also use the concept of internal sets.
An example of a rule that is not effective in this sense is the infinitary ω-rule.
An infinitary logic is a logic that allows infinitely long statements and / or infinitely long proofs.
Generally, the arity is supposed to be finite, but infinitary operations are sometimes considered.
Some infinitary logics may have different properties from those of standard first-order logic.
An example of a rule that is not effective in this sense is the infinitary - rule.
A theory T in infinitary logic Lα, β is a set of statements in the logic.
Some mathematical function or relation . These functions and relations could be infinitary.
Infinitary logics = = = Infinitary logic allows infinitely long sentences.
Definition of Hilbert-type infinitary logics.
In 1981, Kozen gave a complete infinitary equational deductive system for the algebra of regular languages.
Vera V. Fischer is an Austrian mathematician specializing in set theory, mathematical logic, and infinitary combinatorics.
Furthermore, we show an infinitary version of the Ryll-Nardzewski Theorem.
A pupil of Solomon Feferman at Stanford University, Barwise started his research in infinitary logic.
All usage of suffixes and ⋯ { \ displaystyle \ cdots } are not part of formal infinitary languages.
