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What and Who

Automated Complexity Analysis Based on the Dependency Pair Method

Georg Moser
University of Innsbruck
Talk
AG 1, AG 2, AG 3, AG 4, AG 5, SWS, RG1, MMCI  
Public Audience
English

Date, Time and Location

Tuesday, 26 October 2010
14:00
60 Minutes
E1 4
019
Saarbrücken

Abstract

Term  rewriting  is  a  conceptually  simple  but  powerful
abstract  model  of computation  that  underlies  much of  declarative
programming.   In order to  assess the  complexity of  a (terminating)
rewrite  system  it  is natural  to  look  at  the maximal  length  of
derivation sequences.   The "runtime complexity  function" relates the
length of the longest derivation sequence to the size of the arguments
of the initial term, where the  arguments are supposed to be in normal
form.

In this  talk I will present  a variant of the  dependency pair method
for   analysing   runtime  complexities   of   term  rewrite   systems
automatically.  This  technique, called "weak  dependency pair method"
is easy to implement, but  significantly extends the analytic power of
existing  methods. In  particular my  talk will  focus on  very recent
extension  of  the  method  that  suitably  adapts  "context-sensitive
rewriting" for the area of complexity of rewriting.

Contact

Jennifer Müller
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Jennifer Müller, 10/25/2010 09:28
Jennifer Müller, 10/20/2010 11:45
Anna-Lisa Overhoff, 10/20/2010 11:31 -- Created document.