Andrzej Trybulec
Polish mathematician
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Mathematics
Andrzej Trybulec's Degrees
- PhD Mathematics University of Warsaw
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(Suggest an Edit or Addition)According to Wikipedia, Andrzej Wojciech Trybulec was a Polish mathematician and computer scientist noted for work on the Mizar system. Early years His parents Jan W. Trybulec and Barbara H. Kurlus both were professional pharmacists who owned a chemists shop in a small town Szczucin near the city of Tarnów in the south-eastern Poland where they dispensed medicines. He went to high school in Ruda Śląska and then, on his own initiative, he transferred to a prestigious high school in Kraków, where he matriculated. He studied mathematics at the University of Warsaw, from 1964 to 1966 he lectured at the Chair of Geometry, in 1966 he graduated to the magister degree. Until 1967 he lectured at the Institute of Mathematics at the University of Warsaw, from 1967 to 1971 he was an assistant professor at the Warsaw University of Technology, since 1971 he worked at the Institute of Library and Information Science of the University of Warsaw. In September and October 1973, Trybulec was a visiting professor to the All-Russian Scientific and Technical Information Institute in Moscow, then the USSR, where he invented the idea of machine-readability of a mathematical text. He earned the doctoral degree in 1974 from the Institute of Mathematics of the Polish Academy of Sciences under Karol Borsuk.
Andrzej Trybulec's Published Works
Published Works
- Tarski Grothendieck Set Theory (1990) (1065)
- Binary Operations Applied to Functions (1990) (372)
- Domains and Their Cartesian Products (1990) (350)
- Tuples, Projections and Cartesian Products (1990) (270)
- Many-sorted Sets (1993) (177)
- Function Domains and Frænkel Operator (1990) (134)
- Miscellaneous Facts about Functions (1996) (132)
- A Borsuk Theorem on Homotopy Types (1991) (127)
- A Mathematical Model of CPU (1992) (127)
- On the Sets Inhabited by Numbers 1 (2003) (122)
- Many Sorted Algebras (1994) (103)
- Computer Assisted Reasoning with MIZAR (1985) (100)
- Semilattice Operations on Finite Subsets (1990) (67)
- Abian's Fixed Point Theorem (2007) (57)
- Decomposing a Go-Board into Cells (1996) (57)
- On Equivalents of Well-Foundedness (1999) (54)
- Bounded Domains and Unbounded Domains (1999) (48)
- On the Decomposition of Finite Sequences (1996) (46)
- On a Mathematical Model of Programs (1992) (45)
- Some Features of the Mizar Language (1993) (43)
- Commutative Algebra in the Mizar System (2001) (39)
- Some Remarks on the Simple Concrete Model of Computer (2004) (31)
- Left and Right Component of the Complement of a Special Closed Curve (1996) (27)
- On the Integrity of a Repository of Formalized Mathematics (2003) (26)
- Preliminaries to Circuits, II 1 (1996) (23)
- Categories without Uniqueness of cod and dom (1996) (22)
- On Equivalents of Well-foundedness - An experiment in Mizar (1999) (22)
- A First Order Language (1990) (21)
- Introduction to Circuits, II 1 (1996) (21)
- Similarity of Formulae (2004) (21)
- Computer Aider Reasoning (1985) (20)
- Formal Mathematics for Mathematicians (2013) (20)
- On the Compositions of Macro Instructions. Part I (1997) (18)
- Finite Join and Finite Meet, and Dual Lattices (1990) (15)
- Functors for Alternative Categories (1996) (14)
- On the Composition of Macro Instructions. Part III 1 (1997) (14)
- Components and Unions of Components (1996) (14)
- Laplace Expansion (2007) (13)
- Examples of Category Structures (1996) (12)
- The Evaluation of Multivariate Polynomials (2004) (12)
- A Scheme for Extensions of Homomorphisms of Many Sorted Algebras (1996) (12)
- Mathematical Knowledge Management: Third International Conference, MKM 2004, Bialowieza, Poland, September 19-21, 2004, Proceedings (2004) (11)
- Defining by Structural Induction in the Positive Propositional Language (2004) (11)
- An Extension of SCM (1996) (11)
- On the Decomposition of a Simple Closed Curve into Two Arcs (2004) (10)
- On the Minimal Distance Between Sets in Euclidean Space1 (2004) (7)
- Using Mizar in computer aided instruction of mathematics (1993) (7)
- A Note on "How to Write a Proof" (1996) (7)
- Preparing the Internal Approximations of Simple Closed Curves 1 (2004) (7)
- Natural Transformations. Discrete Categories (1991) (6)
- Fixpoints in Complete Lattices 1 (1997) (5)
- Memory Handling for SCM FSA 1 (1997) (5)
- On the Geometry of a Go-Board (1996) (5)
- On the Rectangular Finite Sequences of the Points of the Plane (2004) (4)
- Relocability for SCMFSA (2004) (4)
- Algebra of Normal Forms (1991) (4)
- Coherence of a Text and its Topology (1974) (4)
- Some Lemmas for the Jordan Curve Theorem 1 (2004) (4)
- On the Order on a Special Polygon (2007) (4)
- The Fashoda Meet Theorem for Continuous Mappings (2005) (4)
- More on External Approximation of a Continuum 1 (2004) (3)
- The Fashoda Meet Theorem for Rectangles (2005) (3)
- Some Properties of Real Numbers 1 (1990) (3)
- Standard Ordering of Instruction Locations (2007) (3)
- Adjacency Concept for Pairs of Natural Numbers (1997) (3)
- Defining power series and polynomials in Mizar (2001) (2)
- Some Isomorphisms Between Functor Categories (1992) (2)
- Boolean Domains 1 (2004) (2)
- The First Part of Jordan's Theorem for Special Polygons (1997) (2)
- Classes of Independent Partitions (2004) (2)
- On the Components of the Complement of a Special Polygonal Curve (2004) (2)
- Modifying Addresses of Instructions of SCMFSA (2007) (1)
- The Canonical Formulae (2004) (1)
- Algebra of Normal Forms Is a Heyting Algebra 1 (1991) (1)
- A model of causality (1976) (1)
- Baire Spaces , Sober Spaces 1 (2004) (1)
- Characterization of Single Barrier Microrefrigerators at Cryogenic Temperatures (1992) (1)
- On the Segmentation of a Simple Closed Curve 1 (2004) (1)
- The Fundamental Logic Structure in Quantum Mechanics (1990) (0)
- Euclid ’ s Algorithm (2004) (0)
- Journal of Formalized Mathematics on Rectangular Finite Sequences of the Points of the Plane (2000) (0)
- The Concept of a Many Sorted Algebra and a Model of Digital Circuits (1996) (0)
- Some Properties of Cells and Arcs (2007) (0)
- Automated Hyper-Liking in An Electronic Mathematical Proof-Check Journal, (1996) (0)
- Abian’s Fixed Point Theorem1 (2004) (0)
- Complex Spaces 1 (2007) (0)
- Lebesgue ’ s Covering Lemma , Uniform Continuity and Segmentation of Arcs (2004) (0)
- Rotating and Reversing (2004) (0)
- Some Topological Properties of Cells in R 2 (1997) (0)
- More on Segments on a Go-Board (1996) (0)
- Introducing Spans 1 (2004) (0)
- A Mathematical Model of CPU Yatsuka Nakamura Shinshu University Nagano (2007) (0)
- Modifying Addresses of Instructions of (1996) (0)
- A remark on the syntactic partition (1981) (0)
- Computation in SCMFSA (2007) (0)
- Introduction to Circuits , I 1 (2004) (0)
- Some Properties of Special Polygonal Curves (2004) (0)
- The Scm Fsa Computer (2004) (0)
- On the Go-Board of a Standard Special Circular Sequence (2000) (0)
- Computation in SCM FSA (2004) (0)
- Formal Mathematics for Mathematicians (2012) (0)
- SEMILATTICE OPERATIONS ON FINITE SUBSETS 2 The scheme (1989) (0)
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