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History and Prospects for First-Order Automated Deduction Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Automated Theorem Proving for Assertions in Separation Logic with All Connectives

Authors : Zhé Hóu, Rajeev Goré, Alwen Tiu

Published in: Automated Deduction - CADE-25

Publisher: Springer International Publishing

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Abstract

This paper considers Reynolds’s separation logic with all logical connectives but without arbitrary predicates. This logic is not recursively enumerable but is very useful in practice. We give a sound labelled sequent calculus for this logic. Using numerous examples, we illustrate the subtle deficiencies of several existing proof calculi for separation logic, and show that our rules repair these deficiencies. We extend the calculus with rules for linked lists and binary trees, giving a sound, complete and terminating proof system for a popular fragment called symbolic heaps. Our prover has comparable performance to Smallfoot, a prover dedicated to symbolic heaps, on valid formulae extracted from program verification examples; but our prover is not competitive on invalid formulae. We also show the ability of our prover beyond symbolic heaps, our prover handles the largest fragment of logical connectives in separation logic.

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Metadata
Title
Automated Theorem Proving for Assertions in Separation Logic with All Connectives
Authors
Zhé Hóu
Rajeev Goré
Alwen Tiu
Copyright Year
2015
Book
Automated Deduction - CADE-25

Print ISBN: 978-3-319-21400-9

Electronic ISBN: 978-3-319-21401-6

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-21401-6_34

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