Robinson unification algorithm
E911972
The Robinson unification algorithm is the foundational procedure in automated theorem proving that computes the most general unifier of logical expressions, forming the basis of first-order logic resolution methods.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Robinson unification algorithm canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11210381 — 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.
Target entity: Robinson unification algorithm Context triple: [Huet unification algorithm, relatedTo, Robinson unification algorithm]
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A.
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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B.
Knuth–Bendix completion algorithm
The Knuth–Bendix completion algorithm is a procedure in term rewriting and automated theorem proving that transforms a set of equations into a confluent rewriting system, enabling decision of word problems in algebraic structures.
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C.
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.
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D.
A Computing Procedure for Quantification Theory
"A Computing Procedure for Quantification Theory" is a seminal 1960 paper by Martin Davis and Hilary Putnam that introduced the Davis–Putnam algorithm, laying foundational work for automated theorem proving and propositional satisfiability.
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E.
"The Complexity of Theorem-Proving Procedures"
"The Complexity of Theorem-Proving Procedures" is Stephen Cook’s landmark 1971 paper that introduced the concept of NP-completeness and proved the Boolean satisfiability problem (SAT) to be NP-complete, laying the foundation for modern computational complexity theory.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Robinson unification algorithm Target entity description: The Robinson unification algorithm is the foundational procedure in automated theorem proving that computes the most general unifier of logical expressions, forming the basis of first-order logic resolution methods.
-
A.
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.
-
B.
Knuth–Bendix completion algorithm
The Knuth–Bendix completion algorithm is a procedure in term rewriting and automated theorem proving that transforms a set of equations into a confluent rewriting system, enabling decision of word problems in algebraic structures.
-
C.
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.
-
D.
A Computing Procedure for Quantification Theory
"A Computing Procedure for Quantification Theory" is a seminal 1960 paper by Martin Davis and Hilary Putnam that introduced the Davis–Putnam algorithm, laying foundational work for automated theorem proving and propositional satisfiability.
-
E.
"The Complexity of Theorem-Proving Procedures"
"The Complexity of Theorem-Proving Procedures" is Stephen Cook’s landmark 1971 paper that introduced the concept of NP-completeness and proved the Boolean satisfiability problem (SAT) to be NP-complete, laying the foundation for modern computational complexity theory.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
algorithm in logic
ⓘ
procedure in automated theorem proving ⓘ unification algorithm ⓘ |
| assumes | first-order terms built from variables, function symbols, and constants ⓘ |
| basedOn |
substitution in first-order logic
ⓘ
term rewriting ⓘ |
| complexity | runs in time roughly linear in term size with appropriate data structures ⓘ |
| coreConcept |
most general unifier
ⓘ
occurs check ⓘ substitution set ⓘ term matching ⓘ |
| failsWhen |
function symbols at same position differ
ⓘ
occurs check detects cyclic substitution ⓘ |
| field |
artificial intelligence
ⓘ
automated theorem proving ⓘ first-order logic ⓘ mathematical logic ⓘ |
| formalizes | unification problem for first-order terms ⓘ |
| influenced |
automated deduction systems
ⓘ
design of logic programming languages ⓘ |
| input |
pair of first-order terms
ⓘ
set of equations between terms ⓘ |
| introducedBy | John Alan Robinson NERFINISHED ⓘ |
| introducedIn | 1960s ⓘ |
| introducedInContextOf | resolution principle ⓘ |
| namedAfter | John Alan Robinson NERFINISHED ⓘ |
| output |
failure if terms are not unifiable
ⓘ
most general unifier ⓘ |
| property |
complete for unification of first-order terms
ⓘ
computes most general unifier if it exists ⓘ sound ⓘ |
| purpose |
compute most general unifier
ⓘ
support resolution-based theorem proving ⓘ unify logical expressions ⓘ |
| relatedTo |
Herbrand universe
NERFINISHED
ⓘ
SLD-resolution NERFINISHED ⓘ resolution refutation ⓘ |
| step |
apply substitution to remaining equations
ⓘ
orient equation to substitute variable by term ⓘ repeat until no equations remain or conflict arises ⓘ select unsolved equation between terms ⓘ |
| usedIn |
Prolog implementations
ⓘ
constraint logic programming ⓘ logic programming ⓘ resolution theorem proving ⓘ term rewriting systems NERFINISHED ⓘ type inference systems ⓘ |
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Subject: Robinson unification algorithm Description of subject: The Robinson unification algorithm is the foundational procedure in automated theorem proving that computes the most general unifier of logical expressions, forming the basis of first-order logic resolution methods.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.