Title
Relevant implication and the weak deduction theorem
Abstract
It is shown that the implicational fragment of Anderson and Belnap's R, i.e. Church's weak implicational calculus, is not uniquely characterized by MP (modus ponens), US (uniform substitution), and WDT (Church's weak deduction theorem). It is also shown that no unique logic is characterized by these, but that the addition of further rules results in the implicational fragment of R. A similar result for E is mentioned.
Year
DOI
Venue
1987
10.1007/BF00372548
Studia Logica
Keywords
Field
DocType
Mathematical Logic,Computational Linguistic,Modus Ponens,Deduction Theorem,Relevant Implication
Discrete mathematics,Deduction theorem,Modus ponens,Algorithm,Mathematics,Mathematical logic
Journal
Volume
Issue
Citations 
46
3
1
PageRank 
References 
Authors
0.69
0
1
Name
Order
Citations
PageRank
Diderik Batens114820.23