IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness
E909017
SAT-based verification algorithm
model checking algorithm
safety property verification algorithm
symbolic model checking technique
IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness is a seminal model checking algorithm introduced by Kenneth McMillan that incrementally builds inductive invariants to efficiently verify hardware and software system correctness.
All labels observed (3)
How this entity was disambiguated
This entity first appeared as the object of triple T11173120 — 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: IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness Context triple: [Kenneth McMillan, notableWork, IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness]
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A.
Satisfiability Modulo Theories (SMT)
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.
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B.
Nelson–Oppen combination method
The Nelson–Oppen combination method is a decision procedure framework that combines satisfiability solvers for different first-order theories to determine the satisfiability of formulas in their union.
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C.
Boyer–Moore theorem prover
The Boyer–Moore theorem prover is an influential automated reasoning system for first-order logic and recursive function theory, notable for pioneering techniques in mechanical proof and program verification.
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D.
DPLL(T)
DPLL(T) is a framework that extends the classic DPLL SAT-solving algorithm with theory solvers to efficiently decide satisfiability modulo background theories such as arithmetic, arrays, or bit-vectors.
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E.
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.
- 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: IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness Target entity description: IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness is a seminal model checking algorithm introduced by Kenneth McMillan that incrementally builds inductive invariants to efficiently verify hardware and software system correctness.
-
A.
Satisfiability Modulo Theories (SMT)
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.
-
B.
Nelson–Oppen combination method
The Nelson–Oppen combination method is a decision procedure framework that combines satisfiability solvers for different first-order theories to determine the satisfiability of formulas in their union.
-
C.
Boyer–Moore theorem prover
The Boyer–Moore theorem prover is an influential automated reasoning system for first-order logic and recursive function theory, notable for pioneering techniques in mechanical proof and program verification.
-
D.
DPLL(T)
DPLL(T) is a framework that extends the classic DPLL SAT-solving algorithm with theory solvers to efficiently decide satisfiability modulo background theories such as arithmetic, arrays, or bit-vectors.
-
E.
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.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
SAT-based verification algorithm
ⓘ
model checking algorithm ⓘ safety property verification algorithm ⓘ symbolic model checking technique ⓘ |
| advantageOver | BDD-based methods on many hardware benchmarks ⓘ |
| alsoKnownAs |
IC3/PDR in hardware verification community
ⓘ
linked to:
IC3 model checking algorithm
|
| appliedTo |
finite-state transition systems
ⓘ
hardware systems ⓘ software systems ⓘ |
| approachType |
backward reachability guided by property
ⓘ
incremental clause learning over time frames ⓘ |
| basedOn |
incremental construction of inductive clauses
ⓘ
inductive invariants ⓘ |
| characteristic |
can produce concrete counterexample traces when property is violated
ⓘ
construction of inductive strengthening of safety properties ⓘ incremental refinement of over-approximations of reachable states ⓘ maintains a sequence of clause sets approximating reachable states ⓘ pushes clauses forward across time frames ⓘ |
| comparedTo | BDD-based symbolic model checking ⓘ |
| coreConcept |
frames representing over-approximations of reachable states at increasing time steps
ⓘ
inductive strengthening of the safety property that is invariant and excludes bad states ⓘ |
| field |
formal verification
ⓘ
model checking ⓘ |
| fullName | Incremental Construction of Inductive Clauses for Indubitable Correctness ⓘ |
| goal |
find counterexamples to safety properties
ⓘ
prove system correctness ⓘ |
| influenced | property directed reachability (PDR) ⓘ |
| inspired | many IC3-like algorithms and extensions ⓘ |
| introducedBy |
Ken McMillan
ⓘ
Kenneth L. McMillan ⓘ |
| notableFor |
high efficiency on large industrial hardware verification problems
ⓘ
seminal impact on SAT-based safety model checking ⓘ |
| output |
counterexample trace if property is false
ⓘ
inductive invariant proving safety ⓘ |
| propertyType | safety (invariance) properties rather than liveness ⓘ |
| requires |
encoding of initial states and safety property into propositional logic
ⓘ
encoding of transition relation into propositional logic ⓘ |
| searchStrategy |
generalization of blocking clauses to exclude sets of states
ⓘ
incremental blocking of bad states ⓘ |
| shortName | IC3 ⓘ |
| uses |
Boolean satisfiability (SAT) solving
ⓘ
symbolic state representation ⓘ |
| verificationDomain |
bit-level hardware verification
ⓘ
software model checking via Boolean transition systems ⓘ |
| verifies | safety properties ⓘ |
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: IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness Description of subject: IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness is a seminal model checking algorithm introduced by Kenneth McMillan that incrementally builds inductive invariants to efficiently verify hardware and software system correctness.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
Kenneth McMillan
→
notableWork
→
IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness
ⓘ
IC3 model checking algorithm
→
fullName
→
Incremental Construction of Inductive Clauses for Indubitable Correctness
ⓘ
linked to: IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness
IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness
→
fullName
→
Incremental Construction of Inductive Clauses for Indubitable Correctness
ⓘ
linked to: IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness
IC3 algorithm
→
fullName
→
Incremental Construction of Inductive Clauses for Indubitable Correctness
ⓘ
linked to: IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness
Ken McMillan
→
notableWork
→
IC3 (Incremental Construction of Inductive Clauses for Indubitable Correctness)
ⓘ
linked to: IC3: Incremental Construction of Inductive Clauses for Indubitable Correctness