# Download e-book for kindle: Instructor's Manual - The Language of Machines, An by Robert W. Floyd, Richard Beigel

By Robert W. Floyd, Richard Beigel

ISBN-10: 071678291X

ISBN-13: 9780716782919

This is often the instructor's handbook to accompany "Language of Machines", an updated textual content for classes in conception of computability and languages.

Read or Download Instructor's Manual - The Language of Machines, An Introduction to Computability and Formal Languages PDF

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Extra info for Instructor's Manual - The Language of Machines, An Introduction to Computability and Formal Languages

Sample text

Eliminate null instructions. Call the standardized program P. Then P performs no PUSH operations after EOF (because those PUSH's could not be followed by POP's). Let F be the set of all partial functions from Q to Q. Define a partial function Pc E F by qpc = r if (q -- r, NOOP, POPC) is an instruction of P; qp, is undefined if there is no such instruction. Let qpA = r if (q -- r, NOOP, EMPTY) is an instruction of P; qPA is undefined if there is no such instruction. ) Let P' have stack alphabet r x F.

Palin- Lecture: Today we will prove that palindromes (our favorite CFL) are not a DCFL. (1) On-line recognition. After scanning the entire input, a DSR might spend a lot of time playing with the stack before deciding whether to accept or reject. We want to standardize DSRs so they decide immediately after finishing the input. The following is substantially simpler than what is in the book. Start with a DSR. Factor it. Standardize the input device so that EOF is performed at most once. Standardize the stack so that EMPTY is not performed twice in a row.

Thus f(X) E L. e. 2 E K 4' Let g(x) be a program that behaves as follows: input z; if z has the form anbncn then if x halts on input x then accept; If x e K then g(x) accepts {a'bncn : n > O}; otherwise g(x) accepts 0. Thus x EK 4 f(x) e L. e. e. e. A fortiori, L is not recursive. 13 Concepts: Valid and invalid computations. Undecidability results for CFLs: * is the intersection of 2 DCFLs empty? * is a CFL equal to E*? * are 2 CFLs equal to each other? * are a CFL and a regular language equal to each other?