Abstract
The Lindenbaum algebra of Peano PA can be enriched by the -consistency operators which assign, to a given formula, the statement that the formula is compatible with the theory PA extended by the set of all true -sentences. In the Lindenbaum algebra of PA, a lower semilattice is generated from by the -consistency operators. We prove the undecidability of the elementary theory of this semilattice and the decidability of the elementary theory of the subsemilattice (of this semilattice) generated by the 0-consistency and -consistency operators only.Bibliography: 16 titles.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
