I have prepared a course in automata theory (finite automata, context-free grammars, decidability, and intractability), and it begins April 23, You can learn. Why Study Automata Theory? § Introduction to Formal Proofs Dantsin, E. et al. (). Automata theory, Languages, and Computation. 3rd ed. Pearson. Hopcroft et al. also essentially equate Turing machines and [7] J.E. Hopcroft, R. Motwani, and J.D. Ullman. Introduction to Automata Theory, Languages, and Computation. Addison Wesley / Pearson Education, [8] J.E. Hopcroft and J.D. Ullman. Formal Languages and their Relation to Automata.

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Based on their motivations not to use finite state machines, I would opt for a linear bounded automaton and not a Turing machine. LNCS, A Turing machine can mathematically model a computer. Fundamentals of Theoretical Computer Science.

The first quote belongs to an introductory chapter on complexity theory where time and space bounds matter while the second quote appears in an informal chapter on Turing machines where the sole distinction of interest is one between decidability and undecidability.

To get a more coherent view on what is going on, and how to fix it, I gladly refer to my latest book Turing Tales [5]. References A lot of the above remains controversial in mainstream computer science. Quotes from and I start by comparing the following two quotes.

j.d.ulman The former can serve as mathematical models of the latter. An engineer who models i. A separate concern, then, is to discuss and debate how that mathematical impossibility result could — by means of a Turing complete model of computation — have bearing on the engineered formmal that are being modeled. Coming then to the simulation of a computer by a Turing machine cf. All this in order to come j.d.kllman the following dubious result:.


Moreover, is it not possible that if we look inside a real computer and refrain from mapping k.d.ullman observations onto our favorite mathematical objects, that the computer is, in some sense, doing something for us that Turing machines do not do?

A computer can model i. Later on in that same chapter fromthe authors write: Turing Machines and Computer Programs There is more. Writing Assignment at Siegen University. Computability, Complexity, and Languages: The authors stick to the Turing machine model and motivate their choice by explaining that computer memory can always be extended in practice: Relating word and tree automataPresented by Zhaowei Xu – Lecture Chomsky Hierarchy – Context sensitive and free languages – Lecture However, every now and then Hopcroft et al.

Annals of Pure and Applied Logic98 Automata-theoretical approach to model checking – Lecture Why interaction is more powerful than algorithms. In this regard, the authors incorrectly draw the following conclusion:. However, in their Chapter 8, they also attempt to mathematically — albeit informally — demonstrate that a computer can simulate a Turing machine and that a Turing machine can simulate a computer.

Automata for XML – Lecture Recent comments waking up. Not qutomata citations zutomata the Comm.

Hopcroft and Ullman

A lot of the above remains controversial in mainstream computer science. Only if we look at real computers with our traditional spectacles — in which partially computable functions are the preferred objects — can we equate the Turing machine with the computer in a traditional and rather weak sense.


Loding, Unranked tree automata with sibling equalities and disequalities. Bounded quantification is undecidable. Plato and the Nerd: So there seems to be no problem after all. Specifically, we should distinguish between two persons: Skip to main content. Historical perspective, course syllabus and basic concepts – Lecture 2: But in the following paragraphs I shall argue that the message conveyed in and again in is questionable and that it has been scrutinized by other software scholars as well.

Fine with me, but then we are stepping away from a purely mathematical argument. I recommend consulting the many references provided in my book [5] and also the related — but not necessarily similar — writings of Peter Wegner [13, 14, 15], Carol Cleland [1, 2], Oron Shagrir [11, 12], and Edward A.

Introduction to Automata Theory, Languages, and Computation

Lee [9] in order to get the bigger picture. A computer can simulate a Turing m.d.ullman. But, actually, I have taken each quote out of context. In a word, Hopcroft et al.