Abstract

Predicate superintuitionistic logics are considered. We prove that all such logics that contain a logic characterized by frames whose domains are all finite and are contained in the classical logic of finite domains do not have the interpolation and Beth properties. It is also established that the interpolation property is not shared by all predicate superintuitionistic logics which contain a logic characterized by frames whose domains of nonfinal worlds are all finite and which are contained in a logic characterized by all two-element frames with finite constant domains.

Full Text
Paper version not known

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 call

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.