Rabin automaton
E836299
A Rabin automaton is a type of ω-automaton used in formal verification and automata theory to recognize sets of infinite sequences via Rabin acceptance conditions.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Rabin automaton canonical | 2 |
| Rabin acceptance condition | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10018634 — 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: Rabin automaton Context triple: [Michael O. Rabin, knownFor, Rabin automaton]
-
A.
Thompson's algorithm for regular expression matching
Thompson's algorithm for regular expression matching is a classic method that converts regular expressions into nondeterministic finite automata (NFAs) to enable efficient pattern matching in text processing.
-
B.
Aho–Corasick algorithm
The Aho–Corasick algorithm is a classic string-searching algorithm that efficiently finds all occurrences of multiple patterns in a text using a trie-based finite-state machine.
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C.
Knuth–Morris–Pratt algorithm
The Knuth–Morris–Pratt algorithm is a classic linear-time string-searching algorithm that efficiently finds occurrences of a pattern within a text by precomputing a prefix function to avoid redundant comparisons.
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D.
Rabin–Karp algorithm
The Rabin–Karp algorithm is a string-searching technique that uses hashing to efficiently find any one of a set of pattern strings in a text.
-
E.
Boyer–Moore string-search algorithm
The Boyer–Moore string-search algorithm is a highly efficient pattern-matching algorithm that scans text from right to left and uses precomputed shift rules to skip sections of the text, making it one of the fastest practical algorithms for substring search.
- 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: Rabin automaton Target entity description: A Rabin automaton is a type of ω-automaton used in formal verification and automata theory to recognize sets of infinite sequences via Rabin acceptance conditions.
-
A.
Thompson's algorithm for regular expression matching
Thompson's algorithm for regular expression matching is a classic method that converts regular expressions into nondeterministic finite automata (NFAs) to enable efficient pattern matching in text processing.
-
B.
Aho–Corasick algorithm
The Aho–Corasick algorithm is a classic string-searching algorithm that efficiently finds all occurrences of multiple patterns in a text using a trie-based finite-state machine.
-
C.
Knuth–Morris–Pratt algorithm
The Knuth–Morris–Pratt algorithm is a classic linear-time string-searching algorithm that efficiently finds occurrences of a pattern within a text by precomputing a prefix function to avoid redundant comparisons.
-
D.
Rabin–Karp algorithm
The Rabin–Karp algorithm is a string-searching technique that uses hashing to efficiently find any one of a set of pattern strings in a text.
-
E.
Boyer–Moore string-search algorithm
The Boyer–Moore string-search algorithm is a highly efficient pattern-matching algorithm that scans text from right to left and uses precomputed shift rules to skip sections of the text, making it one of the fastest practical algorithms for substring search.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
automaton model
ⓘ
ω-automaton ⓘ |
| acceptanceConditionInformal | a run is accepting if there exists a pair (G,L) such that some state in G is visited infinitely often and no state in L is visited infinitely often ⓘ |
| canRecognizeAllLanguagesOf | nondeterministic Büchi automaton ⓘ |
| closureProperty |
closed under complementation
ⓘ
closed under intersection ⓘ closed under union ⓘ |
| definedOver | finite alphabet ⓘ |
| expressivePower | equivalent to other ω-regular formalisms ⓘ |
| expressivePowerEquivalentTo |
deterministic Muller automaton
ⓘ
deterministic parity automaton ⓘ nondeterministic Büchi automaton ⓘ |
| hasAcceptanceCondition |
Rabin acceptance condition
ⓘ
linked to:
Rabin automaton
|
| hasComplexityAspect |
complementation can cause exponential blow-up in number of states
ⓘ
emptiness checking is decidable ⓘ language inclusion is decidable ⓘ |
| hasComponent |
acceptance pairs (G_i,L_i)
ⓘ
finite set of states ⓘ initial state ⓘ set of Rabin pairs ⓘ transition relation ⓘ |
| hasProperty | deterministic Rabin automata are as expressive as ω-regular languages ⓘ |
| hasVariant |
deterministic Rabin automaton
ⓘ
nondeterministic Rabin automaton ⓘ |
| introducedInContextOf | decision problems for infinite computations ⓘ |
| isDeterminizableVariantOf |
Büchi automaton
ⓘ
linked to:
Büchi automata
|
| mathematicalDomain |
logic in computer science
ⓘ
theoretical computer science ⓘ |
| namedAfter |
Michael O. Rabin
ⓘ
linked to:
Michael Rabin
|
| operatesOn |
infinite sequences
ⓘ
infinite words ⓘ |
| recognizes | ω-regular languages ⓘ |
| relatedConstruction | Safra construction ⓘ |
| relatedTo |
Büchi automaton
ⓘ
linked to:
Büchi automata
Muller automaton ⓘ Streett automaton ⓘ parity automaton ⓘ |
| typicalUse |
automata-theoretic model checking of LTL formulas
ⓘ
deterministic representation of ω-regular specifications ⓘ |
| usedFor |
controller synthesis
ⓘ
specification of fairness properties ⓘ specification of liveness properties ⓘ synthesis of reactive systems ⓘ |
| usedIn |
automata theory
ⓘ
formal verification ⓘ model checking ⓘ reactive system verification ⓘ temporal logic verification ⓘ |
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: Rabin automaton Description of subject: A Rabin automaton is a type of ω-automaton used in formal verification and automata theory to recognize sets of infinite sequences via Rabin acceptance conditions.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.