Satisfiability Modulo Theories (SMT)
E262229
Satisfiability Modulo Theories (SMT) is a framework in computer science and mathematical logic for deciding the satisfiability of logical formulas with respect to background theories such as arithmetic, bit-vectors, arrays, and data types, widely used in verification, synthesis, and automated reasoning.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Satisfiability Modulo Theories | 7 |
| MathSAT | 1 |
| Satisfiability Modulo Theories (SMT) canonical | 1 |
| satisfiability modulo theories | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2384403 — 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: Satisfiability Modulo Theories (SMT) Context triple: [Leonardo de Moura, contributedTo, Satisfiability Modulo Theories (SMT)]
-
A.
Z3: An Efficient SMT Solver
Z3: An Efficient SMT Solver is a high-performance satisfiability modulo theories (SMT) solver widely used in program verification, formal methods, and automated reasoning.
-
B.
Z3 SMT solver
Z3 SMT solver is a high-performance Satisfiability Modulo Theories (SMT) solver developed at Microsoft Research, widely used in program verification, formal methods, and automated reasoning.
-
C.
The Calculus of Computation
The Calculus of Computation is a textbook that introduces the mathematical foundations of verification, focusing on logic-based methods for specifying and proving properties of computational systems.
-
D.
Symbolic Model Checking
Symbolic Model Checking is a formal verification technique that uses symbolic representations, such as binary decision diagrams, to efficiently verify properties of hardware and software systems with very large state spaces.
-
E.
Davis–Putnam algorithm
The Davis–Putnam algorithm is a pioneering procedure in automated theorem proving and propositional logic satisfiability that laid foundational groundwork for modern SAT solvers.
- 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: Satisfiability Modulo Theories (SMT) Target entity description: Satisfiability Modulo Theories (SMT) is a framework in computer science and mathematical logic for deciding the satisfiability of logical formulas with respect to background theories such as arithmetic, bit-vectors, arrays, and data types, widely used in verification, synthesis, and automated reasoning.
-
A.
Z3: An Efficient SMT Solver
Z3: An Efficient SMT Solver is a high-performance satisfiability modulo theories (SMT) solver widely used in program verification, formal methods, and automated reasoning.
-
B.
Z3 SMT solver
Z3 SMT solver is a high-performance Satisfiability Modulo Theories (SMT) solver developed at Microsoft Research, widely used in program verification, formal methods, and automated reasoning.
-
C.
The Calculus of Computation
The Calculus of Computation is a textbook that introduces the mathematical foundations of verification, focusing on logic-based methods for specifying and proving properties of computational systems.
-
D.
Symbolic Model Checking
Symbolic Model Checking is a formal verification technique that uses symbolic representations, such as binary decision diagrams, to efficiently verify properties of hardware and software systems with very large state spaces.
-
E.
Davis–Putnam algorithm
The Davis–Putnam algorithm is a pioneering procedure in automated theorem proving and propositional logic satisfiability that laid foundational groundwork for modern SAT solvers.
- F. None of above. chosen
Statements (60)
| Predicate | Object |
|---|---|
| instanceOf |
automated reasoning technique
ⓘ
decision problem ⓘ logical framework ⓘ |
| abbreviation | SMT ⓘ |
| applicationArea |
constraint-based program analysis
ⓘ
formal methods ⓘ hardware verification ⓘ model checking ⓘ program synthesis ⓘ security analysis ⓘ software verification ⓘ symbolic execution ⓘ test generation ⓘ |
| basedOn | first-order logic ⓘ |
| emergedFrom | combination of SAT solving and decision procedures for theories ⓘ |
| enables |
counterexample generation for verification
ⓘ
interpolant generation ⓘ model generation for satisfiable formulas ⓘ unsat core extraction ⓘ |
| field |
computer science
ⓘ
mathematical logic ⓘ |
| generalizes | Boolean satisfiability problem ⓘ |
| hasCompetition | SMT-COMP ⓘ |
| hasComponent |
SAT solver
ⓘ
theory solver ⓘ |
| hasGoal | decide satisfiability of logical formulas modulo background theories ⓘ |
| hasProperty |
NP-complete for many quantifier-free fragments
ⓘ
decidable for many restricted theories ⓘ undecidable for some combinations of theories ⓘ |
| hasSolver |
Alt-Ergo
ⓘ
linked to:
Z3 SMT solver
Boolector ⓘ CVC4 ⓘ CVC5 ⓘ MathSAT ⓘ
linked to:
Satisfiability Modulo Theories (SMT)
SMTInterpol ⓘ Yices ⓘ Z3 ⓘ |
| relatedStandard |
SMT-LIB 2.0
ⓘ
linked to:
SMT-LIB2
|
| relatedTo |
Nelson–Oppen combination method
ⓘ
SAT solving ⓘ Shostak combination method ⓘ constraint solving ⓘ model checking ⓘ theorem proving ⓘ |
| standardizedBy |
SMT-LIB initiative
ⓘ
linked to:
SMT-LIB2
|
| supportsTheory |
algebraic data types
ⓘ
arrays ⓘ bit-vectors ⓘ floating-point arithmetic ⓘ linear arithmetic ⓘ nonlinear arithmetic ⓘ quantifiers ⓘ uninterpreted functions ⓘ |
| typicalArchitecture | DPLL(T) ⓘ |
| uses | background theories ⓘ |
| usesAlgorithm |
CDCL-based search
ⓘ
DPLL(T) ⓘ theory learning ⓘ theory propagation ⓘ |
| usesFormat |
SMT-LIB language
ⓘ
linked to:
SMT-LIB2
|
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: Satisfiability Modulo Theories (SMT) Description of subject: Satisfiability Modulo Theories (SMT) is a framework in computer science and mathematical logic for deciding the satisfiability of logical formulas with respect to background theories such as arithmetic, bit-vectors, arrays, and data types, widely used in verification, synthesis, and automated reasoning.
Referenced by (10)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Satisfiability Modulo Theories (SMT)
linked to: Satisfiability Modulo Theories (SMT)
linked to: Satisfiability Modulo Theories (SMT)
linked to: Satisfiability Modulo Theories (SMT)
linked to: Satisfiability Modulo Theories (SMT)
linked to: Satisfiability Modulo Theories (SMT)
linked to: Satisfiability Modulo Theories (SMT)
linked to: Satisfiability Modulo Theories (SMT)
linked to: Satisfiability Modulo Theories (SMT)