A Model of Mizar Concepts - Unification
Grzegorz Bancerek
Formalized Mathematics, Tome 18 (2010), p. 65-75 / Harvested from The Polish Digital Mathematics Library

The aim of this paper is to develop a formal theory of Mizar linguistic concepts following the ideas from [6] and [7]. The theory presented is an abstraction from the existing implementation of the Mizar system and is devoted to the formalization of Mizar expressions. The concepts formalized here are: standarized constructor signature, arity-rich signatures, and the unification of Mizar expressions.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:267171
@article{bwmeta1.element.doi-10_2478_v10037-010-0009-7,
     author = {Grzegorz Bancerek},
     title = {A Model of Mizar Concepts - Unification},
     journal = {Formalized Mathematics},
     volume = {18},
     year = {2010},
     pages = {65-75},
     zbl = {0986.68127},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-010-0009-7}
}
Grzegorz Bancerek. A Model of Mizar Concepts - Unification. Formalized Mathematics, Tome 18 (2010) pp. 65-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-010-0009-7/

[1] Grzegorz Bancerek. König's theorem. Formalized Mathematics, 1(3):589-593, 1990.

[2] Grzegorz Bancerek. Cartesian product of functions. Formalized Mathematics, 2(4):547-552, 1991.

[3] Grzegorz Bancerek. Joining of decorated trees. Formalized Mathematics, 4(1):77-82, 1993.

[4] Grzegorz Bancerek. Subtrees. Formalized Mathematics, 5(2):185-190, 1996.

[5] Grzegorz Bancerek. Institution of many sorted algebras. Part I: Signature reduct of an algebra. Formalized Mathematics, 6(2):279-287, 1997.

[6] Grzegorz Bancerek. On the structure of Mizar types. In Herman Geuvers and Fairouz Kamareddine, editors, Electronic Notes in Theoretical Computer Science, volume 85. Elsevier, 2003. | Zbl 1264.03040

[7] Grzegorz Bancerek. Towards the construction of a model of Mizar concepts. Formalized Mathematics, 16(2):207-230, 2008, doi:10.2478/v10037-008-0027-x.[Crossref]

[8] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.

[9] Grzegorz Bancerek and Artur Korniłowicz. Yet another construction of free algebra. Formalized Mathematics, 9(4):779-785, 2001.

[10] Grzegorz Bancerek and Yatsuka Nakamura. Full adder circuit. Part I. Formalized Mathematics, 5(3):367-380, 1996.

[11] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.

[12] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.

[13] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.

[14] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.

[15] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.

[16] Beata Perkowska. Free many sorted universal algebra. Formalized Mathematics, 5(1):67-74, 1996.

[17] Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.

[18] Andrzej Trybulec. Tuples, projections and Cartesian products. Formalized Mathematics, 1(1):97-105, 1990.

[19] Andrzej Trybulec. Many sorted algebras. Formalized Mathematics, 5(1):37-42, 1996.

[20] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.

[21] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.

[22] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.