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Courses and Workshops

Title: Guarded fragments
Lecturer(s):Natasha Alechina (University of Nottingham)
Type:Workshop
Section:Logic and Computation
Week:First
Time: 17.00-18.30 (Slot 4)
Webpage:http://www.cs.nott.ac.uk/~nza/GF04
Reader: Download
Room:C2

Description

It's been almost ten years since Andreka, van Benthem and Nemeti
proved decidability of the guarded fragment of first order logic.
Given how natural and expressive guarded quantification is, this
result gave logicians a powerful tool of proving decidability of
many formalisms arising in computer science applications, and
generated much research into extensions of the guarded fragment to
fixed point logic, transitive guards etc. A wealth of new proof
techniques developed as a result. The workshop intends to bring
this research together for the benefit of advanced logic and
computer science PhD students interested in the area, and use a
mixture of invited and contributed talks to cover both the new
proof techniques and the relevance of guarded quantification for
applications of logic in computer science.

Preliminary programme 

9 August Introduction; talks by Johan van Benthem and Ulrike Sattler 
    
10 August 
        Hans de Nivelle, Automated theorem proving and GF 
        Lilia Georgieva, Optimizing minimal Herbrand model
        generation procedures for guarded formulae, description
        and modal logics 

11 August 
        Dirk Leinders (joint work with Jerzy Tyszkiewicz and Jan
        Van den Bussche), The semijoin algebra and the guarded
        fragment 
        Michael Minock, Managing database incompleteness with
        the guarded fragment 
        

12 August 
        Dietmar Berwanger (joint work with Achim Blumensath),
        Automata for guarded fixed point logics 
        Antje Nowack, A guarded fragment for abstract state
        machines 
         

13 August 
        Ian Hodkinson, Monodic packed fragment with equality is
        decidable 
        Ian Pratt, Counting quantifiers and stellar fragment
        


Workshop programme committee:

Natasha Alechina (University of Nottingham), 
Johan van Benthem (University of Amsterdam), 
Erich Graedel (Aachen University), 
Maarten Marx (University of Amsterdam), 
Hans de Nivelle (Max Planck Institut fur Informatik, Saarbruecken), 
Martin Otto (Darmstadt University of Technology), 
Ulrike Sattler (University of Manchester).




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