Title
iProver-Eq: an instantiation-based theorem prover with equality
Abstract
iProver-Eq is an implementation of an instantiation-based calculus Inst-Gen-Eq which is complete for first-order logic with equality. iProver-Eq extends the iProver system with superposition-based equational reasoning and maintains the distinctive features of the Inst-Gen method. In particular, first-order reasoning is combined with efficient ground satisfiability checking where the latter is delegated in a modular way to any state-of-the-art SMT solver. The first-order reasoning employs a saturation algorithm making use of redundancy elimination in form of blocking and simplification inferences. We describe the equational reasoning as it is implemented in iProver-Eq, the main challenges and techniques that are essential for efficiency.
Year
DOI
Venue
2010
10.1007/978-3-642-14203-1_17
IJCAR
Keywords
Field
DocType
instantiation-based calculus inst-gen-eq,distinctive feature,efficient ground satisfiability checking,superposition-based equational reasoning,equational reasoning,inst-gen method,iprover system,first-order reasoning,instantiation-based theorem prover,main challenge,first-order logic,theorem prover,first order logic,first order,satisfiability
Automated reasoning,Discrete mathematics,Computer science,Automated theorem proving,Satisfiability,Algorithm,Theoretical computer science,Redundancy (engineering),Deductive reasoning,Modular design,Reasoning system,Satisfiability modulo theories
Conference
Volume
ISSN
ISBN
6173
0302-9743
3-642-14202-8
Citations 
PageRank 
References 
10
0.47
8
Authors
2
Name
Order
Citations
PageRank
Konstantin Korovin128820.64
Christoph Sticksel2151.28