Title
A dynamic characterization of the pure logic of relevant implication
Abstract
This paper spells out a dynamic proof format for the pure logic of relevant implication. (A proof is dynamic if a formula derived at some stage need not be derived at a later stage.) The paper illustrates three interesting points. (i) A set of properties that characterizes an inference relation on the (very natural) dynamic proof interpretation, need not characterize the same inference relation (or even any inference relation) on the usual set-theoretical interpretation. (ii) A proof format may display an internal dynamics (defeasible conclusions) in the absence of an external dynamics (non-monotonicity). (iii) A monotonic logic may have a non-monotonic characterization.
Year
DOI
Venue
2001
10.1023/A:1017520011692
J. Philosophical Logic
Keywords
Field
DocType
relevant implication,dynamic proofs,non-monotonicity
Monotonic function,Discrete mathematics,Statistical proof,Inference,Proof calculus,Structural proof theory,Algorithm,Defeasible estate,Relevance logic,Mathematics
Journal
Volume
Issue
ISSN
30
3
1573-0433
Citations 
PageRank 
References 
5
0.82
2
Authors
1
Name
Order
Citations
PageRank
Diderik Batens114820.23