2019Unpublished venueOpen access

Superposition Reasoning about Quantified Bitvector Formulas

David Damestani, Laura Kovács, Martin Suda

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Abstract

We describe recent extensions to the first-order theorem prover Vampire for proving theorems in the theory of fixed-sized bitvectors, possibly with quantifiers. Details are given on extending both the parser of Vampire as well as the theory reasoning framework of Vampire. We present our experimental results by evaluating and comparing our approach to SMT solvers. Our experiments report also on a few examples that can be solved only by our work.

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What this paper is about

We describe recent extensions to the first-order theorem prover Vampire for proving theorems in the theory of fixed-sized bitvectors, possibly with quantifiers. Details are given on extending both the parser of Vampire as well as the theory reasoning framework of Vampire. We present our experimental results by evaluating and comparing our approach to SMT solvers. Our experiments report also on a few examples that can be solved only by our work.

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Available abstract

We describe recent extensions to the first-order theorem prover Vampire for proving theorems in the theory of fixed-sized bitvectors, possibly with quantifiers. Details are given on extending both the parser of Vampire as well as the theory reasoning framework of Vampire. We present our experimental results by evaluating and comparing our approach to SMT solvers. Our experiments report also on a few examples that can be solved only by our work.

Key concepts: Vampire, Automated theorem proving, Computer science, Parsing, Superposition principle, Automated reasoning, Calculus (dental), Programming language

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