A Turing machine that halts on all inputs is the precise formal notion ... U: Given description 'T' of machine T and 'x' of input to T, simulates T on x ...
15-251. Great Theoretical Ideas in Computer Science. Thales' and G del's Legacy: ... In traditional logic, an axiom or postulate is a proposition that is not proved ...
An exercise in proving undecidability Balder ten Cate Bertinoro 15/12/2006 Query answering under GAV mappings Input: a GAV mapping m: S T a source instance I a ...
The BB function is an example of an uncomputable function, which is the profound ... In seeking to prove that BB(n) is not computable by a Turing machine, the ...
Ponte di Legno, 30-12-2003 ... This presentation is based on the work by S. ... takes the most general form allowed by considerations of internal consistence ...
Lila Kari Dept. of Computer Science University of Western Ontario London, ON, Canada http://www.csd.uwo.ca/~lila/ lila@csd.uwo.ca (With L.Adleman, J.Kari, D.Reishus ...
Undecidability of the Membership Problem for a Diagonal Matrix in a ... A Corollary. By using this coding, a correct solution to the PCP will be the matrix: ...
Prove the Halting Problem is undecidable. Introduce reduction (informally) ... Cantor, 1873. Used to prove that real numbers are not countable. Proof of Theorem ...
IUCEE: Discrete Mathematics. Mathematical Structure of Computation. What ... IUCEE: Discrete Mathematics. 2. Alan Turing. Undecidability of the ... Discrete ...
Giorgi Japaridze Theory of Computability Reducibility Chapter 5 The undecidability of the halting problem 5.1.a Giorgi Japaridze Theory of Computability Let ...
Some infinities are larger than others. Some problems are ... Barber. Set of all sets 'non-self-describing' Diagonalization. R / P(N) 4. Undecidability ...
NKU CSC 685 Kirby. First-Order Logic and Undecidability. A decision ('yes/no') problem is decidable. if ... Can copies of a set of dominos be sequenced so that ...
Post-Structuralism: Deconstruction Theory and Practice Outline -- Q & A -- Jacque Derrida: 1. Prologue: Instability of Meaning 2. Writing as Diff rance 3.
Post-Structuralism: Deconstruction Theory and Practice Outline -- Q & A -- Jacque Derrida: 1. Prologue: Instability of Meaning 2. Writing as Diff rance 3.
Quantum violation of macroscopic realism and the transition to classical physics ... cannot account for a continuous spatiotemporal description of the spin system in ...
'Science-Fiction Math': Lattice theory, monotonicity, and fixed-points. Putting it all together... 'C' is a really weird lang... #include stdio.h #include ...
Pf: We show that so that if we had a decider for we could build a decider for ... Reduction: major method for showing unsolvability or non-recognizability: ...
Convert G to Chomsky Normal Form. Run the Cocke-Younger-Kasami algorithm ... Convert both R1 and R2 to DFAs D1 and D2. Run the DFA minimization algorithm on both ...
Recap: ~able / ~ability. L is Turing-recognizable iff. there is a TM that ... We construct S to decide ATM 'On input M, w , where M is a TM and w is a string: ...
Automatic derivation of static properties which hold on every ... c = malloc (); if (b == c) printf('unexpected equality'); References outside array bounds ...
DEPARTMENT OF COMPUTER SCIENCE DOCTORAL DISSERTATION DEFENSE, 1:30 PM, March ... Algorithmic Algebraic Model Checking (AAMC): Hybrid Automata & Systems Biology ...
An Overview on Program Analysis Mooly Sagiv http://www.cs.tau.ac.il/~msagiv/courses/pa12-13.html Tel Aviv University 640-6706 Textbook: Principles of Program Analysis
A statement about which instances (finite sets of tuples) are 'legal' for ... clause rules w/o function symbols have decidable containment (Chandra and Merlin) ...
An Overview on. Static Program Analysis. Instructor: Mooly Sagiv ... A chapter on program analysis by Jones and Nielson. A note on program analysis by Alex Aiken ...
Lemma 1: RC(W) is finite. Lemma 2: For P in W, (P,c) (P',c and d) iff (P,c(W)) (P',c(W) and d) ... Lemma: There are finitely many derivatives of P wrt S ...
1 a: an insect or other creeping or crawling invertebrate (as a spider or centipede) ... c: any of an order (Hemiptera and especially its suborder Heteroptera) of ...
Example assume decidability of HALTTM and show ATM is decidable which is a contradiction ... Assume there is some decidable non-trivial property P for Turing ...
Workshop on Streaming Systems, Endicott House, Dedham, MA. August 22-23, 2003 ... Similar (but dynamic) multidimensional streams have been implemented in Lucid. ...
Thoughts: If M halts on all its inputs, we can decide ATM. with a TM. ... Notice that if we could decide the halting problem, then H will always lead to ...
(Horn clause) Multiset. rewriting. Key Insights. Existential quantification model of nonces ... Horn fragment of multiplicative-exponential linear logic ...
Started in1930s by logicians G del, Turing, Church, ... Resources: Time, Space, Randomness, Communication Bandwidth, ... History: Hilbert's 10th Problem, 1900 ...
Define collection of dominos so that a match corresponds to an accepting computational history. Internally, define sets of dominos for each transition function ...
Can describe a TM to implement any procedure for which we could ... disregard lower-order terms in running time. disregard coefficient on highest order term ...
PCP as a game. Given a set of cards: N card types (can use as many copies of each ... PCP Puzzle Contest. Contest: Additional restriction: string must ... PCP ...
fill the kettle. put it on cooker, let it boil, pour water into teapot, add tea, ... Problem 2: How do you make tea, starting from a kettle that's partly filled? ...