Foundations of Software Science and Computation Structures 1st edition by Patricia Bouyer, Lutz Schröder ISBN 3030992527  978-3030992521

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ISBN 10: 3030992527
ISBN 13: 978-3030992521
Author: Patricia Bouyer, Lutz Schröder 

This open access book constitutes the proceedings of the 25th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2022, which was held during April 4-6, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022.

The 23 regular papers presented in this volume were carefully reviewed and selected from 77 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems.

Foundations of Software Science and Computation Structures 1st Table of contents:

Part I: Introduction

Chapter 1: Introduction to Software Science

• The Nature of Software Science

• The Need for a Mathematical Foundation

• Computation as a Scientific Discipline

• Overview of the Book’s Approach

Chapter 2: Foundations of Computation

• The Concept of Computation

• Turing Machines and Computability

• Complexity Theory

• Models of Computation and Their Limitations

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Part II: Formal Models of Computation

Chapter 3: Finite Automata and Regular Languages

• Definition of Finite Automata

• Regular Expressions and Their Use

• Properties of Regular Languages

• Minimization of Finite Automata

Chapter 4: Pushdown Automata and Context-Free Languages

• Pushdown Automata: Definition and Use

• Context-Free Grammars and Languages

• Parsing Techniques

• Closure Properties and Decision Algorithms

Chapter 5: Turing Machines and Computability

• Turing Machines: Definition and Functionality

• Computability and the Church-Turing Thesis

• Halting Problem and Undecidability

• Reductions and Complexity

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Part III: Software Systems and Formal Methods

Chapter 6: The Theory of Software Development

• Formal Methods in Software Development

• Program Specification and Refinement

• Correctness of Software

• Formal Verification and Proofs

Chapter 7: Logic in Computation

• Propositional Logic and Predicate Logic

• Boolean Functions and Logic Circuits

• Applications of Logic in Programming

• Automated Theorem Proving and Model Checking

Chapter 8: Programming Languages and Syntax

• Syntax and Semantics of Programming Languages

• Context-Free Grammars for Language Definition

• Abstract Syntax Trees

• Formal Semantics: Denotational and Operational

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Part IV: Computation Structures

Chapter 9: Algorithms and Data Structures

• The Role of Algorithms in Software Systems

• Algorithm Design and Analysis

• Fundamental Data Structures: Lists, Stacks, Queues, Trees

• Advanced Data Structures: Graphs, Heaps, Hash Tables

Chapter 10: Program Semantics

• Denotational Semantics: Basic Concepts

• Operational Semantics: Steps and Transitions

• Axiomatic Semantics and Program Verification

• Relating Program Semantics to Correctness

Chapter 11: Models of Computation in Software Systems

• Computational Models for Software Design

• Abstract Machines and Models of Computation

• Software Modeling and Transformation

• Complexity Considerations in Models

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Part V: Advanced Topics

Chapter 12: Complexity Theory

• Time and Space Complexity

• The P vs NP Problem

• NP-Complete Problems

• Approximation Algorithms

Chapter 13: Formal Verification and Model Checking

• Verification Techniques for Software

• Model Checking and Temporal Logic

• Applications in Critical Systems

• Tools for Formal Verification

Chapter 14: Software Synthesis and Optimization

• Program Synthesis from Formal Specifications

• Optimization Techniques in Software Development

• Synthesis of Correct Programs

• Transformations and Refinements

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Part VI: Conclusion

Chapter 15: Future Directions in Software Science

• Emerging Trends in Software Science

• The Impact of Machine Learning and AI on Software Development

• Challenges in Software Engineering and Computation Theory

• Future Research Areas in Software Science

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Appendices

• A. Glossary of Terms

• B. Notation and Symbols Used

• C. Further Reading and Resources

Index

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