Title
Elementary Deduction Problem For Locally Stable Theories With Normal Forms
Abstract
We present an algorithm to decide the intruder deduction problem (IDP) for a class of locally stable theories enriched with normal forms. Our result relies on a new and efficient algorithm to solve a restricted case of higher-order associative-commutative matching, obtained by combining the Distinct Occurrences of AC-matching algorithm and a standard algorithm to solve systems of linear Diophantine equations. A translation between natural deduction and sequent calculus allows us to use the same approach to decide the elementary deduction problem for locally stable theories. As an application, we model the theory of blind signatures and derive an algorithm to decide IDP in this context, extending previous decidability results.
Year
DOI
Venue
2012
10.4204/EPTCS.113.7
ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE
Field
DocType
Issue
Discrete mathematics,Standard algorithms,Natural deduction,Algorithm,Sequent calculus,Decidability,Diophantine equation,Blossom algorithm,Mathematics
Journal
113
ISSN
Citations 
PageRank 
2075-2180
0
0.34
References 
Authors
17
3
Name
Order
Citations
PageRank
Mauricio Ayala-Rincón115631.94
Maribel Fernández231523.44
Daniele Nantes Sobrinho323.08