Polite Combination of Algebraic Datatypes

Ying Sheng; Yoni Zohar; Christophe Ringeissen; Jane Lange; Pascal Fontaine; Clark Barrett

doi:10.1007/s10817-022-09625-3

Polite Combination of Algebraic Datatypes

Ying Sheng, Yoni Zohar, Christophe Ringeissen, Jane Lange, Pascal Fontaine, Clark Barrett

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Algebraic datatypes, and among them lists and trees, have attracted a lot of interest in automated reasoning and Satisfiability Modulo Theories (SMT). Since its latest stable version, the SMT-LIB standard defines a theory of algebraic datatypes, which is currently supported by several mainstream SMT solvers. In this paper, we study this particular theory of datatypes and prove that it is strongly polite, showing how it can be combined with other arbitrary disjoint theories using polite combination. The combination method uses a new, simple, and natural notion of additivity that enables deducing strong politeness from (weak) politeness.

Original language	English
Pages (from-to)	331-355
Number of pages	25
Journal	Journal of Automated Reasoning
Volume	66
Issue number	3
DOIs	https://doi.org/10.1007/s10817-022-09625-3
State	Published - Aug 2022

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature B.V.

Funding

This project was partially supported by a Grant from the Defense Advanced Research Projects Agency (N66001-18-C-4012), the Stanford CURIS program, and Jasmin Blanchette’s European Research Council (ERC) starting Grant Matryoshka (713999)

Funders	Funder number
Jasmin Blanchette’s European Research Council
Defense Advanced Research Projects Agency	N66001-18-C-4012
Engineering Research Centers	713999

Keywords

Algebraic datatypes
Automated reasoning
Polite combination
Satisfiability Modulo Theories
Theory combination

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10.1007/s10817-022-09625-3

Cite this

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Polite Combination of Algebraic Datatypes

Abstract

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Keywords

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