extension rule

C1
UK/ɪkˈstɛnʃən ruːl/US/ɪkˈstɛnʃən rul/

Formal, Academic, Technical

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Definition

Meaning

A mathematical or logical principle that allows a statement or procedure proven for a certain set of objects to be applied to a larger, more comprehensive set.

1. (Computing/AI) A formal specification for deducing new facts or expanding a knowledge base from existing premises. 2. (Administrative) A provision allowing for the continuation or lengthening of a deadline, period, or agreement under specific conditions. 3. (Linguistics) A rule that extends the application of a phonological or syntactic pattern to new cases.

Linguistics

Semantic Notes

This is a compound noun where 'extension' modifies 'rule', specifying the rule's function. The core sense is predominantly found in mathematical logic, proof theory, and formal systems. In extended uses, the 'extension' part often implies moving beyond an original, more limited scope.

Dialectal Variation

British vs American Usage

Differences

No significant lexical difference. Spelling follows national conventions (e.g., 'generalisation' in UK, 'generalization' in US when discussing the concept).

Connotations

Consistently technical and precise across both varieties.

Frequency

Equally low-frequency and specialist in both varieties, used primarily in technical domains.

Vocabulary

Collocations

strong
apply an extension rulesatisfy the extension rulededuction by extension ruleformal extension rulerecursive extension rule
medium
use an extension ruledefine an extension rulelogical extension rulefollowing the extension rule
weak
simple extension rulenew extension rulestandard extension rulebasic extension rule

Grammar

Valency Patterns

The [adjective] extension rule [verb] that...By applying the extension rule for [noun], we can...[Noun phrase] is governed by an extension rule.

Vocabulary

Synonyms

Strong

deduction theorem (context-specific)closure rule

Neutral

generalisation ruleexpansion principleinference rule

Weak

broadening guidelineapplicability criterion

Vocabulary

Antonyms

restriction rulelimitation clausespecial caseexclusion principle

Phrases

Idioms & Phrases

  • [No common idioms for this technical term]

Usage

Context Usage

Business

Rare. May refer to a clause in a contract permitting an extension of its term.

Academic

Common in mathematics, logic, computer science, and theoretical linguistics papers.

Everyday

Virtually never used.

Technical

The primary domain. Used in proof theory, type systems, formal language theory, and knowledge representation.

Examples

By CEFR Level

A2
  • [This word is not suitable for A2 level.]
B1
  • [This word is highly unlikely at B1 level.]
B2
  • The contract includes an extension rule if the project is delayed.
  • Can you explain the basic idea behind this extension rule?
C1
  • The proof's validity hinges on a subtle extension rule for inductive types.
  • The tribunal granted the appeal based on an extension rule in the procedural code.

Learning

Memory Aids

Mnemonic

Think of a telescope's **extension** allowing you to see further; an **extension rule** allows a logical conclusion to reach further.

Conceptual Metaphor

KNOWLEDGE/APPLICABILITY IS A SPACE THAT CAN BE EXTENDED. RULES ARE TOOLS FOR EXTENSION.

Watch out

Common Pitfalls

Translation Traps (for Russian speakers)

  • Avoid calquing as 'правило расширения' in non-technical contexts where it would sound odd. In administrative contexts, 'правило о продлении срока' is more natural. Do not confuse with 'extension cord' (удлинитель).

Common Mistakes

  • Using 'extension rule' to mean a simple guideline for making something longer. Confusing it with 'rule of thumb'. Pluralising as 'extensions rule' instead of 'extension rules'.

Practice

Quiz

Fill in the gap
In formal logic, an allows a theorem proven for natural numbers to be applied to all integers.
Multiple Choice

In which field is the term 'extension rule' MOST specifically and technically defined?

FAQ

Frequently Asked Questions

It is a compound noun written as two separate words. It is sometimes hyphenated ('extension-rule') when used attributively (e.g., 'an extension-rule application').

No, it is a highly specialized term. In everyday situations, you would say 'rule for extending something' or 'deadline extension clause'.

An extension rule broadens the scope of a rule to include more cases. An exception narrows the scope by excluding specific cases. They are conceptual opposites.

No standard verb form exists. The related verb is 'to extend'. The technical compound is sometimes used verbed in jargon (e.g., 'to extension-rule'), but this is non-standard.