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title | TARGET DECK | FILE TAGS | tags | |
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Abstract Rewriting Systems | Obsidian::STEM | ars |
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Overview
In an abstract rewriting system (ARS), an object is said to be in normal form if it cannot be rewritten any further, i.e. it is irreducible. An object is said to be in canonical form if it is presented in the "standard" representation (where "standard" is defined per field).
In most fields, a canoncial form specifies a unique representation.
%%ANKI Basic What is ARS an acronym for? Back: Abstract Rewriting System. Reference: “Normal Form,” in Wikipedia, April 27, 2024, https://en.wikipedia.org/w/index.php?title=Normal_form.
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%%ANKI Basic Canonical/normal forms are associated with what general class of abstract systems? Back: Abstract rewriting systems. Reference: “Canonical Form,” in Wikipedia, January 7, 2024, https://en.wikipedia.org/w/index.php?title=Canonical_form.
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%%ANKI Basic What does it mean for an object to be in normal form? Back: It cannot be rewritten any further, i.e. it is irreducible. Reference: Normal Form,” in Wikipedia, April 27, 2024, https://en.wikipedia.org/w/index.php?title=Normal_form. END%%
%%ANKI Basic What does it mean for an object to be in canonical form? Back: It is presented in the "standard" way with respect to the field its presented in. Reference: “Canonical Form,” in Wikipedia, January 7, 2024, https://en.wikipedia.org/w/index.php?title=Canonical_form.
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%%ANKI Basic What two assumptions are usually associated with an object in canonical form? Back: It is as simply represented as possible and it is uniquely identifying. Reference: “Canonical Form,” in Wikipedia, January 7, 2024, https://en.wikipedia.org/w/index.php?title=Canonical_form.
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%%ANKI Basic How do "canonical" and "normal" forms differ in most fields? Back: The former usually specifies a unique representation for the object. Reference: “Canonical Form,” in Wikipedia, January 7, 2024, https://en.wikipedia.org/w/index.php?title=Canonical_form.
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Bibliography
- “Canonical Form,” in Wikipedia, January 7, 2024, https://en.wikipedia.org/w/index.php?title=Canonical_form.
- Normal Form,” in Wikipedia, April 27, 2024, https://en.wikipedia.org/w/index.php?title=Normal_form.