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Undecidable Problems (unsolvable problems) PowerPoint PPT Presentation

Undecidable Problems (unsolvable problems) - Title: Languages and Finite Automata Author: Costas Busch Last modified by: student Created Date: 8/31/2000 1:12:33 AM Document presentation format

Title: Languages and Finite Automata Author: Costas Busch Last modified by: student Created Date: 8/31/2000 1:12:33 AM Document presentation format

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When things become undecidably complex PowerPoint PPT Presentation

When things become undecidably complex - ... G del's second theorem: if a formal system of a certain kind is consistent, the ... Thus whatever choices we make from the range of all possibilities will be ...

... G del's second theorem: if a formal system of a certain kind is consistent, the ... Thus whatever choices we make from the range of all possibilities will be ...

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Undecidable problems for Recursively enumerable languages PowerPoint PPT Presentation

Undecidable problems for Recursively enumerable languages - Rice's Theorem: Any non-trivial property of. a recursively ... are context-free grammars. We reduce the PC problem to these problems. Costas Busch - RPI ...

Rice's Theorem: Any non-trivial property of. a recursively ... are context-free grammars. We reduce the PC problem to these problems. Costas Busch - RPI ...

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Undecidable problems for Recursively enumerable languages - Title: Languages and Finite Automata Author: Costas Busch Last modified by: default Created Date: 8/31/2000 1:12:33 AM Document presentation format

Title: Languages and Finite Automata Author: Costas Busch Last modified by: default Created Date: 8/31/2000 1:12:33 AM Document presentation format

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CSC3130 Formal Languages and Automata Theory Tutorial 9 Undecidable Problem PowerPoint PPT Presentation

CSC3130 Formal Languages and Automata Theory Tutorial 9 Undecidable Problem - 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: ...

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: ...

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1' Let B be an undecidable language where B m B' PowerPoint PPT Presentation

1' Let B be an undecidable language where B m B' - Prove that L is contained this class, and determine whether L is recognizable or ... or M has useless state qn where n is the number of states of M} ...

Prove that L is contained this class, and determine whether L is recognizable or ... or M has useless state qn where n is the number of states of M} ...

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Reductions - has size 2? Undecidable problems ... is undecidable Decider for YES NO state-entry problem decider Decider Compute Reduction YES NO Given the reduction, if ...

has size 2? Undecidable problems ... is undecidable Decider for YES NO state-entry problem decider Decider Compute Reduction YES NO Given the reduction, if ...

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Decidability PowerPoint PPT Presentation

Decidability - Decidability Decidable/Undecidable problems Accepting: Definition Let T = (Q, , , , s) be a TM. T accepts a string w in * if (s, w) |-T* (h, 1) .

Decidability Decidable/Undecidable problems Accepting: Definition Let T = (Q, , , , s) be a TM. T accepts a string w in * if (s, w) |-T* (h, 1) .

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Program Verification using Probabilistic Techniques PowerPoint PPT Presentation

Program Verification using Probabilistic Techniques - ... Proof vs Incremental Proof of ... (b,a); Abstraction x=y and x=z Reasoning about multiplication is undecidable only x=y Reasoning is decidable but ...

... Proof vs Incremental Proof of ... (b,a); Abstraction x=y and x=z Reasoning about multiplication is undecidable only x=y Reasoning is decidable but ...

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Scheduling Using Timed Automata PowerPoint PPT Presentation

Scheduling Using Timed Automata - ... and undecidable problem in scheduling analysis using timed automata, 2004 ... There exist efficient algorithms that find the shortest path in a timed automaton. ...

... and undecidable problem in scheduling analysis using timed automata, 2004 ... There exist efficient algorithms that find the shortest path in a timed automaton. ...

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Paradigm Shift in Educational and Performance Technology II PowerPoint PPT Presentation

Paradigm Shift in Educational and Performance Technology II - Promise of Modernism. Dichotomies. Emergence of the Postmodern. Postmodern Science. undecidables, ... It suggests a model of legitimation that has nothing to ...

Promise of Modernism. Dichotomies. Emergence of the Postmodern. Postmodern Science. undecidables, ... It suggests a model of legitimation that has nothing to ...

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CIS 6930 Automated Verification PowerPoint PPT Presentation

CIS 6930 Automated Verification - Dynamic data structures. Unbounded number of processes. Model checking becomes undecidable! ... Linear Time Temporal Logic (LTL) ...

Dynamic data structures. Unbounded number of processes. Model checking becomes undecidable! ... Linear Time Temporal Logic (LTL) ...

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Trakhtenbrot PowerPoint PPT Presentation

Trakhtenbrot - Trakhtenbrot s Theorem The following decision problem is undecidable Matyasevich Theorem Hilbert s 10th Problem Proof (of T. s Theorem): Reduction This sentence ...

Trakhtenbrot s Theorem The following decision problem is undecidable Matyasevich Theorem Hilbert s 10th Problem Proof (of T. s Theorem): Reduction This sentence ...

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Reducibility PowerPoint PPT Presentation

Reducibility - When started on blank tape, writes. Then continues execution ... the blank-tape halting problem is undecidable. END OF PROOF. We reduced the halting problem ...

When started on blank tape, writes. Then continues execution ... the blank-tape halting problem is undecidable. END OF PROOF. We reduced the halting problem ...

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Automated Deduction Techniques for Knowledge Representation Applications PowerPoint PPT Presentation

Automated Deduction Techniques for Knowledge Representation Applications - TBox: (Un)satisfiability,Subsumption - ABox: Instance, Retrieve - General entailment tasks ... Issues: undecidable logic, model computation, equality, size ...

TBox: (Un)satisfiability,Subsumption - ABox: Instance, Retrieve - General entailment tasks ... Issues: undecidable logic, model computation, equality, size ...

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Chapter 8 Introduction to Turing Machines (part a) PowerPoint PPT Presentation

Chapter 8 Introduction to Turing Machines (part a) - ... be introduced later), was used by Alan Turing for proving undecidable problems. ... (invented by Alan Turing several years before true computers were invented) 24 ...

... be introduced later), was used by Alan Turing for proving undecidable problems. ... (invented by Alan Turing several years before true computers were invented) 24 ...

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8' Safe Query Languages PowerPoint PPT Presentation

8' Safe Query Languages - computed on any valid database input. Safety is tied to program verification, ... It is undecidable in general (Halting problem) ...

computed on any valid database input. Safety is tied to program verification, ... It is undecidable in general (Halting problem) ...

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WSMO - revisited PowerPoint PPT Presentation

WSMO - revisited - A Conceptual Model for SWS. A Formal Language for WSMO. A Rule-based Language for SW ... SWRL is as undecidable and untractable as first order logic. ...

A Conceptual Model for SWS. A Formal Language for WSMO. A Rule-based Language for SW ... SWRL is as undecidable and untractable as first order logic. ...

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Rices Theorem PowerPoint PPT Presentation

Rices Theorem - Every nontrivial property of the Turing-recognizable languages is undecidable. Pf: ... Since C is nontrivial, there exists a non-empty language L ...

Every nontrivial property of the Turing-recognizable languages is undecidable. Pf: ... Since C is nontrivial, there exists a non-empty language L ...

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Models of Computation PowerPoint PPT Presentation

Models of Computation - If in state S1 and current cell is a 0 (1) then write 1 (0) and move head left ... Halting problem: undecidable!!! 2. Models of Computation ...

If in state S1 and current cell is a 0 (1) then write 1 (0) and move head left ... Halting problem: undecidable!!! 2. Models of Computation ...

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Automated Deduction Techniques for Knowledge Representation Applications - Issues: undecidable logic, model computation, equality, size ... Otter (pos. hyperres) 37 min, 124 Mb. Compiling SATCHMO: 2:14 h, 271 Mb. smodels: - - User manual ...

Issues: undecidable logic, model computation, equality, size ... Otter (pos. hyperres) 37 min, 124 Mb. Compiling SATCHMO: 2:14 h, 271 Mb. smodels: - - User manual ...

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Logics for Graphs and Graph Transformations PowerPoint PPT Presentation

Logics for Graphs and Graph Transformations - ... of sort s of M and for each f belonging to F the object fM is a total mapping ... But the task of checking a grammar G of arbitrary kind is undecidable in common ...

... of sort s of M and for each f belonging to F the object fM is a total mapping ... But the task of checking a grammar G of arbitrary kind is undecidable in common ...

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Lecture on Mar 4, 2004 Undecidability of the Halting Problem Diagonalization PowerPoint PPT Presentation

Lecture on Mar 4, 2004 Undecidability of the Halting Problem Diagonalization - Prove the Halting Problem is undecidable. Introduce reduction (informally) ... Cantor, 1873. Used to prove that real numbers are not countable. Proof of Theorem ...

Prove the Halting Problem is undecidable. Introduce reduction (informally) ... Cantor, 1873. Used to prove that real numbers are not countable. Proof of Theorem ...

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The Post Correspondence Problem PowerPoint PPT Presentation

The Post Correspondence Problem - to the PC problem. 20 : input to the MPC problem. 21. We construct a new sequences. 22 ... Solve the PC problem for. 28. construct. PC. algorithm. solution. No ...

to the PC problem. 20 : input to the MPC problem. 21. We construct a new sequences. 22 ... Solve the PC problem for. 28. construct. PC. algorithm. solution. No ...

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Linear Bounded Automata LBAs PowerPoint PPT Presentation

Linear Bounded Automata LBAs - with one difference: The input string tape space. is the only tape space allowed to use ... Difference between. Recursive Languages and Decidable problems ...

with one difference: The input string tape space. is the only tape space allowed to use ... Difference between. Recursive Languages and Decidable problems ...

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Reducibility - Title: Languages and Finite Automata Author: Costas Busch Last modified by: default Created Date: 8/31/2000 1:12:33 AM Document presentation format

Title: Languages and Finite Automata Author: Costas Busch Last modified by: default Created Date: 8/31/2000 1:12:33 AM Document presentation format

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Reducibility - Title: Languages and Finite Automata Author: Costas Busch Last modified by: Student Created Date: 8/31/2000 1:12:33 AM Document presentation format

Title: Languages and Finite Automata Author: Costas Busch Last modified by: Student Created Date: 8/31/2000 1:12:33 AM Document presentation format

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Algorithmic Problems in Algebraic Structures PowerPoint PPT Presentation

Algorithmic Problems in Algebraic Structures - Similar objects can appear in algorithmics. ... These problems are not necessarily esoteric mathematical curiosities but can be ...

Similar objects can appear in algorithmics. ... These problems are not necessarily esoteric mathematical curiosities but can be ...

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We saw that ADFA, ANFA, EDFA, ALLDFA and EQDFA are PowerPoint PPT Presentation

We saw that ADFA, ANFA, EDFA, ALLDFA and EQDFA are - 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 ...

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 ...

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Reducibility - Giorgi Japaridze Theory of Computability Reducibility Chapter 5 The undecidability of the halting problem 5.1.a Giorgi Japaridze Theory of Computability Let ...

Giorgi Japaridze Theory of Computability Reducibility Chapter 5 The undecidability of the halting problem 5.1.a Giorgi Japaridze Theory of Computability Let ...

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The Chomsky Hierarchy PowerPoint PPT Presentation

The Chomsky Hierarchy - Difference between. Recursive Languages and Decidable problems ... Run machine with input itself: Input: If. halts on input. Then loop forever. Else halt ...

Difference between. Recursive Languages and Decidable problems ... Run machine with input itself: Input: If. halts on input. Then loop forever. Else halt ...

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The Chomsky Hierarchy - Solves (decides) the problem. Decidable problems: Does Machine have three ... The Turing machine that solves a problem. answers YES or NO for each instance. 14 ...

Solves (decides) the problem. Decidable problems: Does Machine have three ... The Turing machine that solves a problem. answers YES or NO for each instance. 14 ...

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Decidability - Construct machine : When enters a final state, compare input with. Observations: ... 1. Construct. 2. Determine if accepts. strings of equal length. Yes: then ...

Construct machine : When enters a final state, compare input with. Observations: ... 1. Construct. 2. Determine if accepts. strings of equal length. Yes: then ...

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The Chomsky Hierarchy - Is string a binary number? Does DFA accept any input? Turing Machine Input problem instance YES NO The Turing machine that decides (solves) a problem ...

Is string a binary number? Does DFA accept any input? Turing Machine Input problem instance YES NO The Turing machine that decides (solves) a problem ...

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CS355 The Mathematics and Theory of Computer Science PowerPoint PPT Presentation

CS355 The Mathematics and Theory of Computer Science - We begin with a collection of dominos, each containing two strings, one on each side: ... THE PCP is to determine whether a collection of dominos has a match. ...

We begin with a collection of dominos, each containing two strings, one on each side: ... THE PCP is to determine whether a collection of dominos has a match. ...

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Context-Bounded Analysis of Concurrent Queue Systems PowerPoint PPT Presentation

Context-Bounded Analysis of Concurrent Queue Systems - Context-Bounded Analysis of Concurrent Queue Systems Gennaro Parlato University of Illinois at Urbana-Champaign Universit degli Studi di Salerno

Context-Bounded Analysis of Concurrent Queue Systems Gennaro Parlato University of Illinois at Urbana-Champaign Universit degli Studi di Salerno

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Linear Bounded Automata LBAs - YES and NO states are halting states. Courtesy Costas Busch - RPI. 20. Difference between ... the halting problem is decidable (there are and for which we cannot ...

YES and NO states are halting states. Courtesy Costas Busch - RPI. 20. Difference between ... the halting problem is decidable (there are and for which we cannot ...

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Languages and Finite Automata PowerPoint PPT Presentation

Languages and Finite Automata - decides (solves) the problem. Decidable problems: Does Machine have three states ? ... The Turing machine that decides (solves) a problem answers YES or NO ...

decides (solves) the problem. Decidable problems: Does Machine have three states ? ... The Turing machine that decides (solves) a problem answers YES or NO ...

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CS 3240: Languages and Computation PowerPoint PPT Presentation

CS 3240: Languages and Computation - Define collection of dominos so that a match corresponds to an accepting computational history. Internally, define sets of dominos for each transition function ...

Define collection of dominos so that a match corresponds to an accepting computational history. Internally, define sets of dominos for each transition function ...

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Linear Bounded Automata LBAs - YES and NO states are halting states. 21. Difference between ... the halting problem is decidable (there are and for which we cannot ...

YES and NO states are halting states. 21. Difference between ... the halting problem is decidable (there are and for which we cannot ...

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An exercise in proving undecidability PowerPoint PPT Presentation

An exercise in proving undecidability - 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 ...

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 ...

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CS 3240: Languages and Computation - 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 ...

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 ...

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AUBER F16 - CD5560 FABER Formal Languages, Automata and Models of Computation Lecture 13 M lardalen University 2006 Content Introduction Universal Turing Machine Chomsky ...

CD5560 FABER Formal Languages, Automata and Models of Computation Lecture 13 M lardalen University 2006 Content Introduction Universal Turing Machine Chomsky ...

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Undecidability PowerPoint PPT Presentation

Undecidability - Automata Theory, Languages and Computation, 3rd Ed. ... Indeed, the bijection is given by the characteristic function. 11. Cardinality ...

Automata Theory, Languages and Computation, 3rd Ed. ... Indeed, the bijection is given by the characteristic function. 11. Cardinality ...

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Reductions - 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 ...

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 ...

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XML Publishing: Bridging Theory and Practice PowerPoint PPT Presentation

XML Publishing: Bridging Theory and Practice - unbounded depth, nondeterministic 'shape', cannot be decided statically at compile time ... Complexity: evaluation cost, static analyses ...

unbounded depth, nondeterministic 'shape', cannot be decided statically at compile time ... Complexity: evaluation cost, static analyses ...

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Event-Clock%20%20Visibly%20Pushdown%20Automata PowerPoint PPT Presentation

Event-Clock%20%20Visibly%20Pushdown%20Automata - words with equal number of a and b is not a VPL, e.g., abab, abba, baab, ... Visibly pushdown languages (VPL) Properties of VPA and TVPA (Timed VPA) ...

words with equal number of a and b is not a VPL, e.g., abab, abba, baab, ... Visibly pushdown languages (VPL) Properties of VPA and TVPA (Timed VPA) ...

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Event-Clock Visibly Pushdown Automata PowerPoint PPT Presentation

Event-Clock Visibly Pushdown Automata - yb 1. L2={(a,t1)...(a,tn-1)(b,tn) | tn t1 1} Def. ... Simple untimed / timed translations avoid complex subset construction argument of VPA. ...

yb 1. L2={(a,t1)...(a,tn-1)(b,tn) | tn t1 1} Def. ... Simple untimed / timed translations avoid complex subset construction argument of VPA. ...

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Lecture 13 The Halting Problem PowerPoint PPT Presentation

Lecture 13 The Halting Problem - A Turing Machine decides the language L if: It accepts all w L ... grep grep /usr/bin/grep. Binary file (standard input) matches $ cat /tmp/example.pl EOP ...

A Turing Machine decides the language L if: It accepts all w L ... grep grep /usr/bin/grep. Binary file (standard input) matches $ cat /tmp/example.pl EOP ...

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Lecture on Mar 2, 2004 Introduction to Theory of Computation PowerPoint PPT Presentation

Lecture on Mar 2, 2004 Introduction to Theory of Computation - Started in1930s by logicians G del, Turing, Church, ... Resources: Time, Space, Randomness, Communication Bandwidth, ... History: Hilbert's 10th Problem, 1900 ...

Started in1930s by logicians G del, Turing, Church, ... Resources: Time, Space, Randomness, Communication Bandwidth, ... History: Hilbert's 10th Problem, 1900 ...

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Undecidability of the Membership Problem for a Diagonal Matrix in a Matrix Semigroup PowerPoint PPT Presentation

Undecidability of the Membership Problem for a Diagonal Matrix in a Matrix Semigroup - 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: ...

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: ...

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Automata, Grammars and Languages PowerPoint PPT Presentation

Automata, Grammars and Languages - 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: ...

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: ...

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AUBER F16 - CDT314 FABER Formal Languages, Automata and Models of Computation Lecture 13 School of Innovation, Design and Engineering M lardalen University

CDT314 FABER Formal Languages, Automata and Models of Computation Lecture 13 School of Innovation, Design and Engineering M lardalen University

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Static Analysis: Data-Flow Analysis I PowerPoint PPT Presentation

Static Analysis: Data-Flow Analysis I - 'Science-Fiction Math': Lattice theory, monotonicity, and fixed-points. Putting it all together... 'C' is a really weird lang... #include stdio.h #include ...

'Science-Fiction Math': Lattice theory, monotonicity, and fixed-points. Putting it all together... 'C' is a really weird lang... #include stdio.h #include ...

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Programming - The Halting Problem Can we design a program that, given any other program and its input, tells whether that program will halt when run on that input?

The Halting Problem Can we design a program that, given any other program and its input, tells whether that program will halt when run on that input?

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Post Correspondence Problem PowerPoint PPT Presentation

Post Correspondence Problem - Each domino has two strings from the same alphabet ... there are only four dominoes, you have as many copies of each domino as you need. ...

Each domino has two strings from the same alphabet ... there are only four dominoes, you have as many copies of each domino as you need. ...

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Undecidable PowerPoint PPT Presentations