# Free Term Algebras

Formalized Mathematics (2012)

- Volume: 20, Issue: 3, page 239-256
- ISSN: 1426-2630

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topGrzegorz Bancerek. "Free Term Algebras." Formalized Mathematics 20.3 (2012): 239-256. <http://eudml.org/doc/268221>.

@article{GrzegorzBancerek2012,

abstract = {We interoduce a new characterization of algebras of normal forms of term rewriting systems [35] as algerbras of term free in itself (any function from free generators into the algebra generates endomorphism of the algebra). Introduced algebras are free in classes of algebras satisfying some sets of equalities. Their universes are subsets of all terms and the denotations of operation symbols are partially identical with the operations of construction of terms. These algebras are compiler algebras requiring some equalities of terms, e.g., associativity of addition.},

author = {Grzegorz Bancerek},

journal = {Formalized Mathematics},

language = {eng},

number = {3},

pages = {239-256},

title = {Free Term Algebras},

url = {http://eudml.org/doc/268221},

volume = {20},

year = {2012},

}

TY - JOUR

AU - Grzegorz Bancerek

TI - Free Term Algebras

JO - Formalized Mathematics

PY - 2012

VL - 20

IS - 3

SP - 239

EP - 256

AB - We interoduce a new characterization of algebras of normal forms of term rewriting systems [35] as algerbras of term free in itself (any function from free generators into the algebra generates endomorphism of the algebra). Introduced algebras are free in classes of algebras satisfying some sets of equalities. Their universes are subsets of all terms and the denotations of operation symbols are partially identical with the operations of construction of terms. These algebras are compiler algebras requiring some equalities of terms, e.g., associativity of addition.

LA - eng

UR - http://eudml.org/doc/268221

ER -

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