Formal Languages & Automata

Part 1 bok "An introduction to formal languages and automata" includes content: Introduction to the theory of computation; finite automata; regular languages and regular grammars; properties of regular languages; context free languages; simplification of context free grammars and normal forms; pushdown automata; properties of context free languages.

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Part 2 book "An introduction to formal languages and automata" includes content: Turing machines, other models of turing machines, a hierarchy of formal languages and automata, limits of algorithmic computation, other models of computation, an overview of computational complexity.

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The book consists of five chapters. Chapter 1, Mathematical Background; Chapter 2, Formal Languages; Chapter 3, Regular Languages; Chapter 4, Context-free Languages; Chapter 5, Recursive and Recursively Enumerable Languages.

288p haojiubujain08 01-11-2023 5 2   Download

Part 1 of ebook "Theory of computer science: Automata, languages and computation" provides readers with contents including: propositions and predicates; mathematical preliminaries; the theory of automata; formal languages; regular sets and regular grammars; context-free languages;...

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Lecture Theory of Automata: Lesson 1. The main topics covered in this chapter include: formal languages (syntactic languages), informal languages (semantic languages), empty string or null string, valid/In-valid alphabets, length of strings, reverse of a string,...

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Lecture Formal methods in software engineering: Propositional logic. After studying this chapter you will be able to understand: Propositional logic, atomic propositions, connectives, truth tables, precedence, inference rules, arguments, presentation, transitivity,...

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After studying this chapter you will be able to understand: Instructor’s introduction, problems in software development, the major problems with informal specifications, formal methods for the problems, what are formal methods? three levels of formal methods,...

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This chapter presents the following content: Defining languages by another new method, regular expressions, language-defining symbols, plus sign, formal definition of regular expressions, product set, languages associated with regular expressions, how hard it is to understand a regular expression,...

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Lecture Formal methods in software engineering: Finite automata. In this chapter, the following content will be discussed: Yet another method for defining languages, fas and their languages, even-even revisited, how does a finite automaton work? Transition table, FA and their languages.

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The goal of this lecture series is to provide training in formal thinking to students of applied informatics. Students should learn to analyze and solve problems us- ing formal methods. The class will expose students to a wide set of problems and show ways of solving them. Formal methods, as they are used in theoretical computer science, constitute an essential part of a computer science education, not only for those who target an academic or research career, but also for practi- tioners.

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On the one hand, this chapter will deal with many theoretical notions, such as the concept of computation which lies at the heart of automata theory. On the other hand, the exploration we’re about to embark on will let us get to know sev- eral practical techniques and applications, such as taking advantages of compiler compilers, which will hopefully help extending one’s panoply of essential tools.

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In this chapter, the following content will be discussed: The “pumping lemma” for regular languages, applications, push-down automata, parser generator, compiler compilers, from yacc to ANTLR, understanding parsing as “consuming and evaluating”, turing machines,...

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Lecture note Formal methods in software engineering - Lecture 4: Markov processes. As we’ll see in this chapter, Markov processes are interesting in more than one respects. On the one hand, they appear as a natural extension of the finite state automata we’ve discussed in chapter 3. They constitute an important theoretical concept that is encountered in many different fields.

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We have already defined the language and propositional formulas. To complete the formal system of propositional logic we need a set of axioms and inference rules. Why would we need a formal system? We are already able to construct well- formed formulas and decide on their truthfulness by means of a truth table. How- ever, imagine we had a set of formulas M and we know that they are true – they represent our knowledge about a certain problem.

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This chapter presents the following content: Testing and formal methods, formal testing, development process, specification based functional testing with formal methods, approaches to formal testing instantiations of formal framework, formal methods in block handler.

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Lecture Formal methods in software engineering: Software verification using formal methods. In this chapter, the following content will be discussed: Formal methods in block handler, data invariant, block handler, block handler, selection criteria, formal clean room software engineering,...

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Lecture Formal methods in software engineering - Lecture 17 presents the following content: Semantics, operational semantics, evaluation of operational semantics, axiomatic semantics, axiomatic semantics form, axiomatic semantics - consequence, loop invariant, evaluation of axiomatic semantics.

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Lecture Formal methods in software engineering - Lecture 30 presents the following content: OSI reference model, abstract state machine language (AsmL), abstract state, abstract state machine and turing machine, state transitions, evolution of state variables,...

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Lecture Formal methods in software engineering - Lecture 24 presents the following content: Use of formal methods in SE, test cases VS F-M, structure programming, flow graphs, flow graphs, path coverage overhead, model-based solution, mathematical model, propositional calculus, logic puzzle,...

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In this chapter, the following content will be discussed: Problem with truth table, proof using equivalences, rules for inference & logical deduction, logical problem for the day, associativity of equivalence, even and odd numbers, properties of equivalence,...

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