Title
Proof-finding Algorithms for Classical and Subclassical Propositional Logics
Abstract
The formulas-as-types isomorphism tells us that every proof and theorem, in the intuitionistic implicational logic H(->), corresponds to a lambda term or coinbinator and its type. The algorithms of Bunder very efficiently find a lambda term inhabitant, if ally, of any given type of H(->) and of many of its subsystems. In most cases the search procedure has a simple bound based roughly on the length of the formula involved. Computer implementations of some of these procedures were done in Dekker. In this paper we extend these methods to full classical propositional logic as well as to its various subsystems. This extension has partly been implemented by Oostdijk.
Year
DOI
Venue
2009
10.1215/00294527-2009-011
NOTRE DAME JOURNAL OF FORMAL LOGIC
Keywords
Field
DocType
proof-finding algorithms,propositional logics
Discrete mathematics,T-norm fuzzy logics,Algorithm,Classical logic,Monoidal t-norm logic,Proof complexity,Well-formed formula,Propositional variable,Propositional formula,Mathematics,Method of analytic tableaux
Journal
Volume
Issue
ISSN
50
3
0029-4527
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Martin W. Bunder16416.78
R. M. Rizkalla200.34