Title
Integer Induction In Saturation
Abstract
Integers are ubiquitous in programming and therefore also in applications of program analysis and verification. Such applications often require some sort of inductive reasoning. In this paper we analyze the challenge of automating inductive reasoning with integers. We introduce inference rules for integer induction within the saturation framework of first-order theorem proving. We implemented these rules in the theorem prover VAMPIRE and evaluated our work against other state-of-the-art theorem provers. Our results demonstrate the strength of our approach by solving new problems coming from program analysis and mathematical properties of integers.
Year
DOI
Venue
2021
10.1007/978-3-030-79876-5_21
AUTOMATED DEDUCTION, CADE 28
DocType
Volume
ISSN
Conference
12699
0302-9743
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Petra Hozzová101.01
Laura Kovács249436.97
Andrei Voronkov32670225.46