The undecidability of propositional adaptive logic

Synthese 158 (1):41 - 60 (2007)
Abstract
We investigate and classify the notion of final derivability of two basic inconsistency-adaptive logics. Specifically, the maximal complexity of the set of final consequences of decidable sets of premises formulated in the language of propositional logic is described. Our results show that taking the consequences of a decidable propositional theory is a complicated operation. The set of final consequences according to either the Reliability Calculus or the Minimal Abnormality Calculus of a decidable propositional premise set is in general undecidable, and can be -complete. These classifications are exact. For first order theories even finite sets of premises can generate such consequence sets in either calculus.
Keywords Adaptive logic  Paraconsistent logic  Dynamic logic  Undecidability
Categories No categories specified
(categorize this paper)
Options
 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: 10,999
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
Diderik Batens (2004). The Need for Adaptative Logics in Epistemology. In Shadid Rahman, John Symons, Dov Gabbay & Jean Bendegem (eds.), Logic, Epistemology, and the Unity of Science. Kluwer. 459-485.

View all 12 references

Citations of this work BETA

View all 7 citations

Similar books and articles
Analytics

Monthly downloads

Added to index

2009-01-28

Total downloads

19 ( #88,499 of 1,101,091 )

Recent downloads (6 months)

6 ( #44,290 of 1,101,091 )

How can I increase my downloads?

My notes
Sign in to use this feature


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