Mizar Analysis of Algorithms: Preliminaries
Formalized Mathematics (2007)
- Volume: 15, Issue: 3, page 87-110
- ISSN: 1426-2630
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top- [1] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.
- [2] Grzegorz Bancerek. Curried and uncurried functions. Formalized Mathematics, 1(3):537-541, 1990.
- [3] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
- [4] Grzegorz Bancerek. Introduction to trees. Formalized Mathematics, 1(2):421-427, 1990.
- [5] Grzegorz Bancerek. König's theorem. Formalized Mathematics, 1(3):589-593, 1990.
- [6] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
- [7] Grzegorz Bancerek. König's lemma. Formalized Mathematics, 2(3):397-402, 1991.
- [8] Grzegorz Bancerek. Sets and functions of trees and joining operations of trees. Formalized Mathematics, 3(2):195-204, 1992.
- [9] Grzegorz Bancerek. Joining of decorated trees. Formalized Mathematics, 4(1):77-82, 1993.
- [10] Grzegorz Bancerek. Minimal signature for partial algebra. Formalized Mathematics, 5(3):405-414, 1996.
- [11] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.
- [12] Grzegorz Bancerek and Yatsuka Nakamura. Full adder circuit. Part I. Formalized Mathematics, 5(3):367-380, 1996.
- [13] Grzegorz Bancerek and Piotr Rudnicki. On defining functions on trees. Formalized Mathematics, 4(1):91-101, 1993.
- [14] Grzegorz Bancerek and Piotr Rudnicki. The set of primitive recursive functions. Formalized Mathematics, 9(4):705-720, 2001.
- [15] Grzegorz Bancerek and Andrzej Trybulec. Miscellaneous facts about functions. Formalized Mathematics, 5(4):485-492, 1996.
- [16] Józef Białas. Infimum and supremum of the set of real numbers. Measure theory. Formalized Mathematics, 2(1):163-171, 1991.
- [17] Józef Białas. Series of positive real numbers. Measure theory. Formalized Mathematics, 2(1):173-183, 1991.
- [18] Ewa Burakowska. Subalgebras of the universal algebra. Lattices of subalgebras. Formalized Mathematics, 4(1):23-27, 1993.
- [19] Czesław Byliński. Basic functions and operations on functions. Formalized Mathematics, 1(1):245-254, 1990.
- [20] Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.
- [21] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.
- [22] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
- [23] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
- [24] Czesław Byliński. The modification of a function by a function and the iteration of the composition of a function. Formalized Mathematics, 1(3):521-527, 1990.
- [25] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.
- [26] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
- [27] Czesław Byliński. Subcategories and products of categories. Formalized Mathematics, 1(4):725-732, 1990.
- [28] Patricia L. Carlson and Grzegorz Bancerek. Context-free grammar - part 1. Formalized Mathematics, 2(5):683-687, 1991.
- [29] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.
- [30] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definitions and basic properties of measurable functions. Formalized Mathematics, 9(3):495-500, 2001.
- [31] Andrzej Kondracki. The Chinese Remainder Theorem. Formalized Mathematics, 6(4):573-577, 1997.
- [32] Małgorzata Korolkiewicz. Homomorphisms of algebras. Quotient universal algebra. Formalized Mathematics, 4(1):109-113, 1993.
- [33] Jarosław Kotowicz. Monotone real sequences. Subsequences. Formalized Mathematics, 1(3):471-475, 1990.
- [34] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.
- [35] Jarosław Kotowicz, Beata Madras, and Małgorzata Korolkiewicz. Basic notation of universal algebra. Formalized Mathematics, 3(2):251-253, 1992.
- [36] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.
- [37] Beata Perkowska. Free universal algebra construction. Formalized Mathematics, 4(1):115-120, 1993.
- [38] Beata Perkowska. Free many sorted universal algebra. Formalized Mathematics, 5(1):67-74, 1996.
- [39] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
- [40] Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.
- [41] Andrzej Trybulec. Function domains and Fránkel operator. Formalized Mathematics, 1(3):495-500, 1990.
- [42] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
- [43] Andrzej Trybulec. Many-sorted sets. Formalized Mathematics, 4(1):15-22, 1993.
- [44] Andrzej Trybulec. Many sorted algebras. Formalized Mathematics, 5(1):37-42, 1996.
- [45] Andrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4):341-347, 2003.
- [46] Wojciech A. Trybulec. Pigeon hole principle. Formalized Mathematics, 1(3):575-579, 1990.
- [47] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
- [48] Edmund Woronowicz. Many-argument relations. Formalized Mathematics, 1(4):733-737, 1990.
- [49] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
- [50] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
Citations in EuDML Documents
top- Grzegorz Bancerek, Mizar Analysis of Algorithms: Algorithms over Integers
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- Piotr Rudnicki, Lorna Stewart, Simple Graphs as Simplicial Complexes: the Mycielskian of a Graph
- Grzegorz Bancerek, Program Algebra over an Algebra