First-Order Theorem Proving and Vampire
Paper in proceeding, 2013

In this paper we give a short introduction in first-order theorem proving and the use of the theorem prover VAMPIRE. We discuss the superposition calculus and explain the key concepts of saturation and redundancy elimination, present saturation algorithms and preprocessing, and demonstrate how these concepts are implemented in VAMPIRE. Further, we also cover more recent topics and features of VAMPIRE designed for advanced applications, including satisfiability checking, theory reasoning, interpolation, consequence elimination, and program analysis.

automated reasoning

theorem proving

program analysis

formal methods

program verification

software engineering

Author

Laura Kovacs

Chalmers, Computer Science and Engineering (Chalmers), Software Technology (Chalmers)

A. Voronkov

University of Manchester

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

03029743 (ISSN) 16113349 (eISSN)

Vol. 8044 LNCS 1-35
978-3-642-39798-1 (ISBN)

Areas of Advance

Information and Communication Technology

Subject Categories

Software Engineering

Computer Science

DOI

10.1007/978-3-642-39799-8_1

ISBN

978-3-642-39798-1

More information

Latest update

11/14/2024