Shostak combination method

E904164

algorithm in automated reasoning decision procedure framework method in Satisfiability Modulo Theories theory combination method

The Shostak combination method is a decision procedure framework in automated reasoning that efficiently combines theories with disjoint signatures to solve satisfiability problems in Satisfiability Modulo Theories (SMT).

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All labels observed (1)

Label	Occurrences
Shostak combination method canonical	1

Statements (40)

Predicate	Object
instanceOf	algorithm in automated reasoning ⓘ decision procedure framework ⓘ method in Satisfiability Modulo Theories ⓘ theory combination method ⓘ
appliesTo	equational theories ⓘ first-order theories ⓘ
assumes	disjoint signatures of component theories ⓘ
assumption	theories have disjoint function symbols ⓘ theories share only equality ⓘ
contribution	improves efficiency of reasoning in combined theories ⓘ provides a complete combination method for certain classes of theories ⓘ
developedInContextOf	verification of hardware and software ⓘ
field	Satisfiability Modulo Theories NERFINISHED ⓘ automated reasoning ⓘ formal verification ⓘ mathematical logic ⓘ theorem proving ⓘ
hasProperty	complete under its assumptions ⓘ efficient for many practical theory combinations ⓘ modular with respect to component theories ⓘ
influenced	design of modern SMT solvers ⓘ
namedAfter	Robert E. Shostak NERFINISHED ⓘ
purpose	combining decision procedures for different theories ⓘ solving satisfiability problems in combined theories ⓘ supporting SMT solving ⓘ
relatedTo	Nelson–Oppen combination method NERFINISHED ⓘ SMT solving ⓘ combination of theories ⓘ decision procedures for theories ⓘ
requires	availability of canonizers for each component theory ⓘ availability of solvers for each component theory ⓘ
typicalComponentTheory	arrays GENERATED ⓘ linear arithmetic GENERATED ⓘ theory of uninterpreted functions GENERATED ⓘ
usedIn	SMT-based model checking ⓘ automated theorem provers for verification ⓘ constraint solving over combined theories ⓘ
uses	canonizers for each theory ⓘ solvers for each theory ⓘ term rewriting techniques ⓘ

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Input

Subject: Shostak combination method
Description of subject: The Shostak combination method is a decision procedure framework in automated reasoning that efficiently combines theories with disjoint signatures to solve satisfiability problems in Satisfiability Modulo Theories (SMT).

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Satisfiability Modulo Theories (SMT) → relatedTo → Shostak combination method ⓘ

subject surface form: Satisfiability Modulo Theories