Completeness and Compactness Theorems

Serafim Batzoglou
Additional contact information
Serafim Batzoglou: Seer Inc.

Chapter Chapter 5 in Introduction to Incompleteness, 2024, pp 65-75 from Springer

Abstract: Abstract The soundness theorem for first-order logic, which we introduced in the previous chapter, states that a formula derivable in a first-order theory is valid: it is true in every interpretation of the language that satisfies the axioms. Remarkably, the converse is also true.

Date: 2024
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:978-3-031-64217-3_5

Ordering information: This item can be ordered from
http://www.springer.com/9783031642173

DOI: 10.1007/978-3-031-64217-3_5

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 ().