Regular Expression Quantifiers -mtonOccurrences

• Autorzy: Michał Trybulec
• Języki publikacji: EN

Abstrakty

EN

This article includes proofs of several facts that are supplemental to the theorems proved in [10]. Next, it builds upon that theory to extend the framework for proving facts about formal languages in general and regular expression operators in particular. In this article, two quantifiers are defined and their properties are shown: m to n occurrences (or the union of a range of powers) and optional occurrence. Although optional occurrence is a special case of the previous operator (0 to 1 occurrences), it is often defined in regex applications as a separate operator - hence its explicit definition and properties in the article. Notation and terminology were taken from [13].

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2007
• Tom: 15
• Numer: 2
• Strony: 53-58

Daty

wydano

2007-01-01

online

2008-06-09

Twórcy

autor

Michał Trybulec

• Motorola Software Group, Cracow, Poland

Bibliografia

• [7] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
• [8] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.
• [9] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
• [10] Michał Trybulec. Formal languages - concatenation and closure. Formalized Mathematics, 15(1):11-15, 2007.
• [11] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
• [12] Tetsuya Tsunetou, Grzegorz Bancerek, and Yatsuka Nakamura. Zero-based finite sequences. Formalized Mathematics, 9(4):825-829, 2001.
• [13] Larry Wall, Tom Christiansen, and Jon Orwant. Programming Perl, Third Edition. O'Reilly Media, 2000.
• [14] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
• [1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
• [2] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
• [3] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
• [4] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
• [5] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.
• [6] Karol Pαk. The Catalan numbers. Part II. Formalized Mathematics, 14(4):153-159, 2006.

Identyfikatory

DOI

10.2478/v10037-007-0006-7