Humans, Computer, and Computational Complexity
... rate, we are approaching a time when any computationally solvable problem can be fed into a computer that uses some algorithm to produce the desired output within a reasonable amount of time. This is the question that motivates the theory of Computational Complexity.xv Here we treat complexity, not ...
... rate, we are approaching a time when any computationally solvable problem can be fed into a computer that uses some algorithm to produce the desired output within a reasonable amount of time. This is the question that motivates the theory of Computational Complexity.xv Here we treat complexity, not ...
RoadMap
... • Proving soundness of some formal proof system is tricky enough (because of the subproofs), but to prove completeness turns out to be quite hard. • In fact, for a while, it wasn’t clear if there was any formal proof system that was complete. • So, let us say that First-Order Logic is complete if an ...
... • Proving soundness of some formal proof system is tricky enough (because of the subproofs), but to prove completeness turns out to be quite hard. • In fact, for a while, it wasn’t clear if there was any formal proof system that was complete. • So, let us say that First-Order Logic is complete if an ...
Homework: PHP Introduction
... Problem 10. *Third Digit is 7? Write an expression that checks for given integer if its third digit from right-to-left is 7. Examples: n ...
... Problem 10. *Third Digit is 7? Write an expression that checks for given integer if its third digit from right-to-left is 7. Examples: n ...
![[2014 question paper]](http://s1.studyres.com/store/data/008843338_1-8972001b8876bb24408dc426751e805f-300x300.png)
[2014 question paper]
... One of these operations necessarily leads to a regular language and the other may not. Identify which is which. For the regular operation, give a proof that it is regular. For the non-regular operation, give an example of an A such that applying the operation on it results in a non-regular language. ...
... One of these operations necessarily leads to a regular language and the other may not. Identify which is which. For the regular operation, give a proof that it is regular. For the non-regular operation, give an example of an A such that applying the operation on it results in a non-regular language. ...
296.1 theoretical computer science introduction
... A simpler problem: sorting • Given a list of numbers, sort them • (Really) dumb algorithm: Randomly perturb the numbers. See if they happen to be ordered. If not, randomly perturb the whole list again, etc. • Reasonably smart algorithm: Find the smallest number. List it first. Continue on to the ne ...
... A simpler problem: sorting • Given a list of numbers, sort them • (Really) dumb algorithm: Randomly perturb the numbers. See if they happen to be ordered. If not, randomly perturb the whole list again, etc. • Reasonably smart algorithm: Find the smallest number. List it first. Continue on to the ne ...
Assignment 6
... (2) If we apply the minimization operator to a function f (x, y) that is always positive at x, e.g. ∀y. f (x, y) 6= 0, then it does not produce a value but “diverges,” on some input x. The domain of such a function µy.f (x, y) = 0 is {x : N | ∃y. f (x, y) = 0}. Note, we can represent λx.µy.f (x, y) ...
... (2) If we apply the minimization operator to a function f (x, y) that is always positive at x, e.g. ∀y. f (x, y) 6= 0, then it does not produce a value but “diverges,” on some input x. The domain of such a function µy.f (x, y) = 0 is {x : N | ∃y. f (x, y) = 0}. Note, we can represent λx.µy.f (x, y) ...
theoretical computer science introduction
... – Do (mixed) integer programs always take more time to solve than linear programs? – Do set cover instances fundamentally take a long time to ...
... – Do (mixed) integer programs always take more time to solve than linear programs? – Do set cover instances fundamentally take a long time to ...
