Triple

T9838453
Position Surface form Disambiguated ID Type / Status
Subject Dexter Kozen E239160 entity
Predicate knownFor P22 FINISHED
Object mu-calculus
The mu-calculus is a powerful modal logic with fixed-point operators used to express and verify properties of recursive and infinite-state systems in computer science.
E824073 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: mu-calculus | Statement: [Dexter Kozen, knownFor, mu-calculus]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: mu-calculus
Context triple: [Dexter Kozen, knownFor, mu-calculus]
  • A. branching-time temporal logic CTL*
    Branching-time temporal logic CTL* is a highly expressive formalism in computer science used to specify and reason about the behavior of concurrent and reactive systems over branching time structures.
  • B. linear temporal logic
    Linear temporal logic is a modal temporal logic used in computer science and formal methods to specify and reason about the behavior of systems over linear sequences of time, using operators that describe how properties evolve in the future.
  • C. Kleene algebra
    Kleene algebra is an algebraic structure used to model and reason about regular expressions, program control flow, and formal languages through operations like choice, sequencing, and iteration.
  • D. π-calculus
    The π-calculus is a formal mathematical model for describing and analyzing concurrent, communicating systems, particularly those with dynamic network structures.
  • E. Hoare logic
    Hoare logic is a formal system in computer science used to reason rigorously about the correctness of computer programs using logical assertions about program states.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: mu-calculus
Triple: [Dexter Kozen, knownFor, mu-calculus]
Generated description
The mu-calculus is a powerful modal logic with fixed-point operators used to express and verify properties of recursive and infinite-state systems in computer science.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: mu-calculus
Target entity description: The mu-calculus is a powerful modal logic with fixed-point operators used to express and verify properties of recursive and infinite-state systems in computer science.
  • A. branching-time temporal logic CTL*
    Branching-time temporal logic CTL* is a highly expressive formalism in computer science used to specify and reason about the behavior of concurrent and reactive systems over branching time structures.
  • B. linear temporal logic
    Linear temporal logic is a modal temporal logic used in computer science and formal methods to specify and reason about the behavior of systems over linear sequences of time, using operators that describe how properties evolve in the future.
  • C. Kleene algebra
    Kleene algebra is an algebraic structure used to model and reason about regular expressions, program control flow, and formal languages through operations like choice, sequencing, and iteration.
  • D. π-calculus
    The π-calculus is a formal mathematical model for describing and analyzing concurrent, communicating systems, particularly those with dynamic network structures.
  • E. Hoare logic
    Hoare logic is a formal system in computer science used to reason rigorously about the correctness of computer programs using logical assertions about program states.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69ca84e314108190978324a4bdb959f8 completed March 30, 2026, 2:12 p.m.
NER Named-entity recognition batch_69cdb34921b881909836ba0f5b42a27b completed April 2, 2026, 12:07 a.m.
NED1 Entity disambiguation (via context triple) batch_69d1d5d145ac8190ad10a4328216ef54 completed April 5, 2026, 3:24 a.m.
NEDg Description generation batch_69d1d6bb23cc81909efbeccf147018e8 completed April 5, 2026, 3:27 a.m.
NED2 Entity disambiguation (via description) batch_69d1d726e58c819090135d1ff275d2d8 completed April 5, 2026, 3:29 a.m.
Created at: March 30, 2026, 8:33 p.m.