Triple

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).

Phrase: "Extending the S System" | Statement: [S programming language, notablePublication, "Extending the S System"]

Target entity: "Extending the S System"
Context triple: [S programming language, notablePublication, "Extending the S System"]

• A. Hilbert-style deductive systems
  Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
• B. arithmetization of syntax
  Arithmetization of syntax is a method in mathematical logic that encodes formal language expressions and proofs as natural numbers so that syntactic properties can be studied using arithmetic.
• C. Landin’s SECD machine
  Landin’s SECD machine is an early abstract machine for functional programming languages that introduced a systematic model for evaluating expressions using a stack, environment, control, and dump.
• D. Scheme: An Interpreter for Extended Lambda Calculus
  "Scheme: An Interpreter for Extended Lambda Calculus" is the seminal 1975 technical report by Gerald Jay Sussman and Guy L. Steele Jr. that introduced the Scheme programming language and demonstrated the power of lexical scoping and first-class procedures in a minimalist Lisp dialect.
• E. Revised Extended Standard Theory
  Revised Extended Standard Theory is a later development in generative grammar that expanded and refined Chomsky’s Standard Theory by incorporating more sophisticated treatments of syntax–semantics interfaces and constraints on transformations.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: "Extending the S System"
Target entity description: "Extending the S System" is a scholarly work that discusses enhancements and expansions to the S programming language and its underlying statistical computing framework.

• A. Hilbert-style deductive systems
  Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
• B. arithmetization of syntax
  Arithmetization of syntax is a method in mathematical logic that encodes formal language expressions and proofs as natural numbers so that syntactic properties can be studied using arithmetic.
• C. Landin’s SECD machine
  Landin’s SECD machine is an early abstract machine for functional programming languages that introduced a systematic model for evaluating expressions using a stack, environment, control, and dump.
• D. Scheme: An Interpreter for Extended Lambda Calculus
  "Scheme: An Interpreter for Extended Lambda Calculus" is the seminal 1975 technical report by Gerald Jay Sussman and Guy L. Steele Jr. that introduced the Scheme programming language and demonstrated the power of lexical scoping and first-class procedures in a minimalist Lisp dialect.
• E. Revised Extended Standard Theory
  Revised Extended Standard Theory is a later development in generative grammar that expanded and refined Chomsky’s Standard Theory by incorporating more sophisticated treatments of syntax–semantics interfaces and constraints on transformations.
• F. None of above. chosen