modèle relationnel
2016-06-11
calcul prédicat
liste
itération
Theoretische Informatik
Datenverarbeitung
Computers
Ordinateurs
Aho
Alfred V.
Alfred V. Aho
Ullman
Jeffrey D.
Jeffrey D. Ullman
1942
ensemble
24669768
Foundations of computer science
en
1992
1992
Einführung
Ch. 1: Computer Science: The Mechanization of Abstraction. 1.1: What This Book Is About. 1.2: What This Chapter Is About. 1.3: Data Models. 1.4: The Pascal Data Model. 1.5: Algorithms and the Design of Programs. 1.6: Summary of Chapter 1. 1.7: Bibliographic Notes for Chapter 1 -- Ch. 2: Iteration, Induction, and Recursion. 2.1: What This Chapter Is About. 2.2: Iteration. 2.3: Inductive Proofs. 2.4: Complete Induction. 2.5: Proving Properties of Programs. 2.6: Recursive Definitions. 2.7: Recursive Procedures. 2.8: Merge Sort: A Recursive Sorting Algorithm. 2.9: Proving Properties of Recursive Programs. 2.10: Summary of Chapter 2. 2.11: Bibliographic Notes for Chapter 2 -- Ch. 3: The Running Time of Programs. 3.1: What This Chapter Is About. 3.2: Choosing An Algorithm. 3.3: Measuring Running Time. 3.4: Big-Oh and Approximate Running Time. 3.5: Simplifying Big-Oh Expressions. 3.6: Analyzing the Running Time of a Program. 3.7: A Recursive Rule for Bounding the Running Time. 3.8: Analyzing Programs with Procedure Calls. 3.9: Analyzing Recursive Procedures. 3.10: Analysis of Merge Sort. 3.11: Solving Recurrence Relations. 3.12: Summary of Chapter 3. 3.13: Bibliographic Notes for Chapter 3 -- Ch. 4: Data Models for the Computer. 4.1: What This Chapter Is About. 4.2: The Hierarchy of Abstractions in a Computer. 4.3: A Look at a Typical Computer. 4.4: The Main Memory. 4.5: Secondary Storage Devices. 4.6: Machine Instructions and Their Execution. 4.7: A Typical Instruction Set. 4.8: Supporting the Pascal Data Model. 4.9: Representing Structures: The General Case. 4.10: The Running Time of Programs. 4.11: Representing Integers by Computer Words. 4.12: Representing Real Numbers. 4.13: The File Model of Secondary Storage. 4.14: Summary of Chapter 4. 4.15: Bibliographic Notes for Chapter 4 -- Ch. 5: The Tree Data Model. 5.1: What This Chapter Is About. 5.2: Basic Terminology. 5.3: Data Structures for Trees. 5.4: Recursions on Trees. 5.5: Structural Induction. 5.6: Binary Trees. 5.7: Generating Assembly Code from Binary Trees. 5.8: Binary Search Trees. 5.9: Efficiency of Binary Search Tree Operations. 5.10: Priority Queues and Partially Ordered Trees. 5.11: Heapsort: Sorting with Balanced POTs. 5.12: Summary of Chapter 5. 5.13: Bibliographic Notes for Chapter 5 -- Ch. 6: The List Data Model. 6.1: What This Chapter Is About. 6.2: Basic Terminology. 6.3: Operations on Lists. 6.4: The Linked-List Data Structure. 6.5: Array-Based Implementation of Lists. 6.6: Stacks. 6.7: Implementing Procedure Calls Using a Stack. 6.8: Queues. 6.9: Longest Common Subsequences. 6.10: Representing Character Strings. 6.11: Summary of Chapter 6. 6.12: Bibliographic Notes for Chapter 6 -- Ch. 7: The Set Data Model. 7.1: What This Chapter Is About. 7.2: Basic Definitions. 7.3: Operations on Sets. 7.4: List Implementation of Sets. 7.5: Characteristic Vector Implementation of Sets. 7.6: Hashing. 7.7: Relations and Functions. 7.8: Implementing Functions as Data. 7.9: Implementing Binary Relations. 7.10: Some Special Properties of Binary Relations. 7.11: Infinite Sets. 7.12: Summary of Chapter 7. 7.13: Bibliographic Notes for Chapter 7 -- Ch. 8: The Relational Data Model. 8.1: What This Chapter Is About. 8.2: Relations. 8.3: Keys. 8.4: Primary Storage Structures for Relations. 8.5: Secondary Index Structures. 8.6: Navigation among Relations. 8.7: An Algebra of Relations. 8.8: Implementing Relational Algebra Operations. 8.9: Algebraic Laws for Relations. 8.10: Summary of Chapter 8. 8.11: Bibliographic Notes for Chapter 8 -- Ch. 9: The Graph Data Model. 9.1: What This Chapter Is About. 9.2: Basic Concepts. 9.3: Implementation of Graphs. 9.4: Connected Components of an Undirected Graph. 9.5: Minimal Spanning Trees. 9.6: Depth-First Search. 9.7: Some Uses of Depth-First Search. 9.8: Dijkstra's Algorithm for Finding Shortest Paths. 9.9: Floyd's Algorithm for Shortest Paths. 9.10: An Introduction to Graph Theory. 9.11: Summary of Chapter 9. 9.12: Bibliographic Notes for Chapter 9 -- Ch. 10: Patterns, Automata, and Regular Expressions. 10.1: What This Chapter Is About. 10.2: State Machines and Automata. 10.3: Deterministic and Nondeterministic Automata. 10.4: From Nondeterministism to Deterministism. 10.5: Regular Expressions. 10.6: The UNIX Extensions to Regular Expressions. 10.7: Algebraic Laws for Regular Expressions. 10.8: From Regular Expressions to Automata. 10.9: From Automata to Regular Expressions. 10.10: Summary of Chapter 10. 10.11: Bibliographic Notes for Chapter 10 -- Ch. 11: Recursive Description of Patterns. 11.1: What This Chapter Is About. 11.2: Context-Free Grammars. 11.3: Languages from Grammars. 11.4: Parse Trees. 11.5: Ambiguity and the Design of Grammars. 11.6: Constructing Parse Trees. 11.7: A Table-Driven Parsing Algorithm. 11.8: Grammars Versus Regular Expressions. 11.9: Summary of Chapter 11. 11.10: Bibliographic Notes for Chapter 11 -- Ch. 12: Propositional Logic. 12.1: What This Chapter Is About. 12.2: What Is Propositional Logic? 12.3: Logical Expressions. 12.4: Truth Tables. 12.5: From Boolean Functions to Logical Expressions. 12.6: Designing Logical Expressions by Karnaugh Maps. 12.7: Tautologies. 12.8: Some Algebraic Laws for Logical Expressions. 12.9: Tautologies and Methods of Proof. 12.10: Deduction. 12.11: Proofs by Resolution. 12.12: Summary of Chapter 12. 12.13: Bibliographic Notes for Chapter 12 -- Ch. 13: Using Logic to Design Computer Components. 13.1: What This Chapter Is About. 13.2: Gates. 13.3: Circuits. 13.4: Logical Expressions and Circuits. 13.5: Some Physical Constraints on Circuits. 13.6: A Divide-and-Conquer Addition Circuit. 13.7: Design of a Multiplexer. 13.8: Memory Elements. 13.9: Summary of Chapter 13. 13.10: Bibliographic Notes for Chapter 13 -- Ch. 14: Predicate Logic. 14.1: What This Chapter Is About. 14.2: Predicates. 14.3: Logical Expressions. 14.4: Quantifiers. 14.5: Interpretations. 14.6: Tautologies. 14.7: Tautologies Involving Quantifiers. 14.8: Proofs in Predicate Logic. 14.9: Proofs from Rules and Facts. 14.10: Truth and Provability. 14.11: Summary of Chapter 14. 14.12: Bibliographic Notes for Chapter 14.
24669768
nyu
informatique théorique
Informatik
New York
Ordinateur
abstraction
Informatica
calcul propositionnel
Computer science
Principles of computer science series
Principles of computer science series.
conception logique
modèle donnée
Diskrete Mathematik
9780716782339
0716782332
arbre
Computer Science Press
récursion
Informatique
modèle graphique
induction