Solving recursion-free Horn clauses over LI+UIF

Gupta A, Popeea C, Rybalchenko A. 2011. Solving recursion-free Horn clauses over LI+UIF. APLAS: Asian Symposium on Programming Languages and Systems, LNCS, vol. 7078, 188–203.

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Conference Paper | Published | English
Author
Gupta, AshutoshISTA; Popeea, Corneliu; Rybalchenko, Andrey
Editor
Yang, Hongseok
Series Title
LNCS
Abstract
Verification of programs with procedures, multi-threaded programs, and higher-order functional programs can be effectively au- tomated using abstraction and refinement schemes that rely on spurious counterexamples for abstraction discovery. The analysis of counterexam- ples can be automated by a series of interpolation queries, or, alterna- tively, as a constraint solving query expressed by a set of recursion free Horn clauses. (A set of interpolation queries can be formulated as a single constraint over Horn clauses with linear dependency structure between the unknown relations.) In this paper we present an algorithm for solving recursion free Horn clauses over a combined theory of linear real/rational arithmetic and uninterpreted functions. Our algorithm performs resolu- tion to deal with the clausal structure and relies on partial solutions to deal with (non-local) instances of functionality axioms.
Publishing Year
Date Published
2011-12-05
Volume
7078
Page
188 - 203
Conference
APLAS: Asian Symposium on Programming Languages and Systems
Conference Location
Kenting, Taiwan
Conference Date
2011-12-05 – 2011-12-07
IST-REx-ID

Cite this

Gupta A, Popeea C, Rybalchenko A. Solving recursion-free Horn clauses over LI+UIF. In: Yang H, ed. Vol 7078. Springer; 2011:188-203. doi:10.1007/978-3-642-25318-8_16
Gupta, A., Popeea, C., & Rybalchenko, A. (2011). Solving recursion-free Horn clauses over LI+UIF. In H. Yang (Ed.) (Vol. 7078, pp. 188–203). Presented at the APLAS: Asian Symposium on Programming Languages and Systems, Kenting, Taiwan: Springer. https://doi.org/10.1007/978-3-642-25318-8_16
Gupta, Ashutosh, Corneliu Popeea, and Andrey Rybalchenko. “Solving Recursion-Free Horn Clauses over LI+UIF.” edited by Hongseok Yang, 7078:188–203. Springer, 2011. https://doi.org/10.1007/978-3-642-25318-8_16.
A. Gupta, C. Popeea, and A. Rybalchenko, “Solving recursion-free Horn clauses over LI+UIF,” presented at the APLAS: Asian Symposium on Programming Languages and Systems, Kenting, Taiwan, 2011, vol. 7078, pp. 188–203.
Gupta A, Popeea C, Rybalchenko A. 2011. Solving recursion-free Horn clauses over LI+UIF. APLAS: Asian Symposium on Programming Languages and Systems, LNCS, vol. 7078, 188–203.
Gupta, Ashutosh, et al. Solving Recursion-Free Horn Clauses over LI+UIF. Edited by Hongseok Yang, vol. 7078, Springer, 2011, pp. 188–203, doi:10.1007/978-3-642-25318-8_16.

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