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).
All labels observed (1)
| Label | Occurrences |
|---|---|
| Shostak combination method canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11090201 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Shostak combination method Context triple: [Satisfiability Modulo Theories, relatedTo, Shostak combination method]
-
A.
Bailey chain method
The Bailey chain method is a powerful technique in the theory of basic hypergeometric series that systematically generates infinite families of q-series and partition identities, including generalizations of Rogers–Ramanujan-type identities.
-
B.
Gundersen method
The Gundersen method is a timing-based system in Nordic combined that converts ski jumping results into staggered start times for the cross-country race so that the first athlete to finish wins overall.
-
C.
O’Connor Method
The O’Connor Method is a string instrument teaching system that emphasizes American folk, jazz, and classical styles to develop musicality and improvisation in students.
-
D.
Darwin–Fowler method
The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
-
E.
Gregory method
The Gregory method is a numerical integration technique that approximates definite integrals using a series expansion based on finite differences.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Shostak combination method Target entity description: 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).
-
A.
Bailey chain method
The Bailey chain method is a powerful technique in the theory of basic hypergeometric series that systematically generates infinite families of q-series and partition identities, including generalizations of Rogers–Ramanujan-type identities.
-
B.
Gundersen method
The Gundersen method is a timing-based system in Nordic combined that converts ski jumping results into staggered start times for the cross-country race so that the first athlete to finish wins overall.
-
C.
O’Connor Method
The O’Connor Method is a string instrument teaching system that emphasizes American folk, jazz, and classical styles to develop musicality and improvisation in students.
-
D.
Darwin–Fowler method
The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
-
E.
Gregory method
The Gregory method is a numerical integration technique that approximates definite integrals using a series expansion based on finite differences.
- F. None of above. chosen
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 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
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.
subject surface form:
Satisfiability Modulo Theories