 5.5.1: Show that EQCFG is undecidable.
 5.5.2: Show that EQCFG is coTuringrecognizable.
 5.5.3: Find a match in the following instance of the Post Correspondence P...
 5.5.4: If A m B and B is a regular language, does that imply that A is a r...
 5.5.5: Show that ATM is not mapping reducible to ETM. In other words, show...
 5.5.6: Show that m is a transitive relation.
 5.5.7: Show that if A is Turingrecognizable and A m A, then A is decidable.
 5.5.8: In the proof of Theorem 5.15, we modied the Turing machine M so tha...
 5.5.9: Let T = {hMi M is a TM that accepts wR whenever it accepts w}. Sho...
 5.5.10: Consider the problem of determining whether a twotape Turing machi...
 5.5.11: Consider the problem of determining whether a twotape Turing machi...
 5.5.12: Consider the problem of determining whether a singletape Turing ma...
 5.5.13: A useless state in a Turing machine is one that is never entered on...
 5.5.14: Consider the problem of determining whether a Turing machine M on a...
 5.5.15: Consider the problem of determining whether a Turing machine M on a...
 5.5.16: Let = {0,1, } be the tape alphabet for all TMs in this problem. Den...
 5.5.17: Show that the Post Correspondence decidable over the unary alphabet...
 5.5.18: Show that the Post Correspondence undecidable over the binary alpha...
 5.5.19: In the silly Post Correspondence Problem, SPCP, the top string in e...
 5.5.20: Prove that there exists an undecidable subset of {1}.
 5.5.21: Let AMBIGCFG = {hGi G is an ambiguous CFG}. Show that AMBIGCFG is ...
 5.5.22: Show that A is Turingrecognizable iff A m ATM.
 5.5.23: Show that A is decidable iff A m 01.
 5.5.24: Let J = {w either w = 0x for some x ATM, or w = 1y for some y ATM ...
 5.5.25: Give an example of an undecidable language B, where B m B.
 5.5.26: Dene a twoheaded nite automaton (2DFA) to be a deterministic nite ...
 5.5.27: A twodimensional nite automaton (2DIMDFA) is dened as follows. Th...
 5.5.28: Rices theorem. Let P be any nontrivial property of the language of ...
 5.5.29: Show that both conditions in 5.28 are necessary for proving that P ...
 5.5.30: Use Rices theorem, which appears in 5.28, to prove the undecidabili...
 5.5.31: Letf(x) =(3x + 1 for odd x x/2 for even x for any natural number x....
 5.5.32: Prove that the following two languages are undecidable. a. OVERLAPC...
 5.5.33: Consider the problem of determining whether a PDA accepts some stri...
 5.5.34: Let X = {hM,wi M is a singletape TM that never modies the portion...
 5.5.35: Say that a variable A in CFG G is necessary if it appears in every ...
 5.5.36: Say that a CFG is minimal if none of its rules can be removed witho...
Solutions for Chapter 5: R E D U C I B I L I T Y
Full solutions for Introduction to the Theory of Computation  3rd Edition
ISBN: 9781133187790
Solutions for Chapter 5: R E D U C I B I L I T Y
Get Full SolutionsIntroduction to the Theory of Computation was written by Patricia and is associated to the ISBN: 9781133187790. This textbook survival guide was created for the textbook: Introduction to the Theory of Computation, edition: 3. Since 36 problems in chapter 5: R E D U C I B I L I T Y have been answered, more than 5118 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5: R E D U C I B I L I T Y includes 36 full stepbystep solutions.

Atomic weight
The average of the atomic masses of isotopes for a given element.

Compressional mountains
Mountains in which great horizontal forces have shortened and thickened the crust. Most major mountain belts are of this type.

Crossbedding
Structure in which relatively thin layers are inclined at an angle to the main bedding. Formed by currents of wind or water.

Dark matter
Undetected matter that is thought to exist in great quantities in the universe.

Galactic cluster
Groups of gravitationally bound galaxies that sometimes contain thousands of galaxies.

Hail
Nearly spherical ice pellets having concentric layers and formed by the successive freezing of layers of water.

Hogback
A narrow, sharpcrested ridge formed by the upturned edge of a steeply dipping bed of resistant rock.

Longshore current
A nearshore current that flows parallel to the shore.

Normal polarity
A magnetic field that is the same as that which exists at present.

Ozone
A molecule of oxygen containing three oxygen atoms.

Refracting telescope
A telescope that employs a lens to bend and concentrate the light from distant objects.

Source region
The area where an air mass acquires its characteristic properties of temperature and moisture.

Stratopause
The boundary between the stratosphere and the mesosphere.

Temperature
A measure of the degree of hotness or coldness of a substance; a measure of the average kinetic energy of individual atoms or molecules in a substance.

Thrust fault
A lowangle reverse fault.

Trade winds
Two belts of winds that blow almost constantly from easterly directions and are located on the equatorward sides of the subtropical highs.

Tropical storm
By international agreement, a tropical cyclone with maximum winds between 61 and 119 kilometers (38 and 74 miles) per hour.

Tropical wet and dry
A climate that is transitional between the wet tropics and the subtropical steppes.

Tundra climate
Found almost exclusively in the Northern Hemisphere or at high altitudes in many mountainous regions. A treeless climatic realm of sedges, grasses, mosses, and lichens that is dominated by a long, bitterly cold winter.

Turbulent flow
The movement of water in an erratic fashion, often characterized by swirling, whirlpoollike eddies. Most streamflow is of this type.
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