# Term Context

Formalized Mathematics (2014)

- Volume: 22, Issue: 2, page 125-155
- ISSN: 1426-2630

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topGrzegorz Bancerek. "Term Context." Formalized Mathematics 22.2 (2014): 125-155. <http://eudml.org/doc/268886>.

@article{GrzegorzBancerek2014,

abstract = {Two construction functors: simple term with a variable and compound term with an operation and argument terms and schemes of term induction are introduced. The degree of construction as a number of used operation symbols is defined. Next, the term context is investigated. An x-context is a term which includes a variable x once only. The compound term is x-context iff the argument terms include an x-context once only. The context induction is shown and used many times. As a key concept, the context substitution is introduced. Finally, the translations and endomorphisms are expressed by context substitution.},

author = {Grzegorz Bancerek},

journal = {Formalized Mathematics},

keywords = {construction degree; context; translation; endomorphism},

language = {eng},

number = {2},

pages = {125-155},

title = {Term Context},

url = {http://eudml.org/doc/268886},

volume = {22},

year = {2014},

}

TY - JOUR

AU - Grzegorz Bancerek

TI - Term Context

JO - Formalized Mathematics

PY - 2014

VL - 22

IS - 2

SP - 125

EP - 155

AB - Two construction functors: simple term with a variable and compound term with an operation and argument terms and schemes of term induction are introduced. The degree of construction as a number of used operation symbols is defined. Next, the term context is investigated. An x-context is a term which includes a variable x once only. The compound term is x-context iff the argument terms include an x-context once only. The context induction is shown and used many times. As a key concept, the context substitution is introduced. Finally, the translations and endomorphisms are expressed by context substitution.

LA - eng

KW - construction degree; context; translation; endomorphism

UR - http://eudml.org/doc/268886

ER -

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