Title
Studying provability in implicational intuitionistic logic the formula tree approach
Abstract
We use an alternative graphical representation for formulas in implicational intuitionistic logic in order to obtain and demonstrate results concerning provability. We demonstrate the adequateness of the method in this area, showing that one can easily recognize and prove new results and simplify the proofs of others. As such, we extend a known class of formulas for which uniqueness of β-η-normal proofs is true and define a new one for uniqueness of β-normal proofs. We also give a precise characterization of the set of provable monatomic formulas and obtain as a corollary a necessary condition for intuitionistic theorems in general.
Year
DOI
Venue
2002
10.1016/S1571-0661(04)80545-0
Electronic Notes in Theoretical Computer Science
Keywords
Field
DocType
implicational logic,provability,uniqueness of proofs,formula-tree approach
Intuitionistic logic,Uniqueness,Discrete mathematics,Mathematical proof,Corollary,Mathematics
Journal
Volume
ISSN
Citations 
67
1571-0661
1
PageRank 
References 
Authors
0.40
1
2
Name
Order
Citations
PageRank
Sabine Broda16413.83
Luís Damas212822.34