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Synchronizing Constrained Horn Clauses

18 pagesPublished: May 4, 2017

Abstract

Simultaneous occurrences of multiple recurrence relations in a system of non-linear constrained Horn clauses are crucial for proving its satis ability. A solution of such system is often inexpressible in the constraint language. We propose to synchronize recurrent computations, thus increasing the chances for a solution to be found. We introduce a notion of CHC product allowing to formulate a lightweight iterative algorithm of merging recurrent computations into groups and prove its soundness. The evaluation over a set of systems handling lists and linear integer arithmetic confirms that the transformed systems are drastically more simple to solve than the original ones.

Keyphrases: Constrained Horn Clauses, inductive invariant, linearization, relational verification, Unbounded Model Checking

In: Thomas Eiter and David Sands (editors). LPAR-21. 21st International Conference on Logic for Programming, Artificial Intelligence and Reasoning, vol 46, pages 338--355

Links:
BibTeX entry
@inproceedings{LPAR-21:Synchronizing_Constrained_Horn_Clauses,
  author    = {Dmitry Mordvinov and Grigory Fedyukovich},
  title     = {Synchronizing Constrained Horn Clauses},
  booktitle = {LPAR-21. 21st International Conference on Logic for Programming, Artificial Intelligence and Reasoning},
  editor    = {Thomas Eiter and David Sands},
  series    = {EPiC Series in Computing},
  volume    = {46},
  pages     = {338--355},
  year      = {2017},
  publisher = {EasyChair},
  bibsource = {EasyChair, http://www.easychair.org},
  issn      = {2398-7340},
  url       = {https://easychair.org/publications/paper/LlxW},
  doi       = {10.29007/gr5c}}
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