Predicate Logics of Constructive Arithmetical Theories

Journal of Symbolic Logic 71 (4):1311 - 1326 (2006)
In this paper, we show that the predicate logics of consistent extensions of Heyting's Arithmetic plus Church's Thesis with uniqueness condition are complete $\Pi _{2}^{0}$. Similarly, we show that the predicate logic of HA*, i.e. Heyting's Arithmetic plus the Completeness Principle (for HA*) is complete $\Pi _{2}^{0}$. These results extend the known results due to Valery Plisko. To prove the results we adapt Plisko's method to use Tennenbaum's Theorem to prove 'categoricity of interpretations' under certain assumptions
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/jsl/1164060457
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 23,280
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Albert Visser (2005). Faith & Falsity. Annals of Pure and Applied Logic 131 (1):103-131.
Albert Visser (1999). Rules and Arithmetics. Notre Dame Journal of Formal Logic 40 (1):116-140.

View all 7 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Reinhard Muskens (1999). On Partial and Paraconsistent Logics. Notre Dame Journal of Formal Logic 40 (3):352-374.
D. C. McCarty (1996). Undecidability and Intuitionistic Incompleteness. Journal of Philosophical Logic 25 (5):559 - 565.

Monthly downloads

Added to index


Total downloads

5 ( #579,823 of 1,932,462 )

Recent downloads (6 months)

1 ( #456,114 of 1,932,462 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.