Title
A Calculus for Generating Ground Explanations (Technical Report)
Abstract
We present a modification of the superposition calculus that is meant to generate explanations why a set of clauses is satisfiable. This process is related to abductive reasoning, and the explanations generated are clauses constructed over so-called abductive constants. We prove the correctness and completeness of the calculus in the presence of redundancy elimination rules, and develop a sufficient condition guaranteeing its termination; this sufficient condition is then used to prove that all possible explanations can be generated infinite time for several classes of clause sets, including many of interest to the SMT community. We propose a procedure that generates a set of explanations that should be useful to a human user and conclude by suggesting several extensions to this novel approach.
Year
Venue
Field
2012
CoRR
Discrete mathematics,Correctness,Algorithm,Redundancy (engineering),Superposition calculus,Abductive reasoning,Completeness (statistics),Calculus,Technical report,Mathematics
DocType
Volume
Citations 
Journal
abs/1201.5954
1
PageRank 
References 
Authors
0.36
5
2
Name
Order
Citations
PageRank
Mnacho Echenim19515.75
Nicolas Peltier25011.84