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    Reformulating Global Grammar Constraints

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    An attractive mechanism to specify global constraints in rostering and other domains is via formal languages. For instance, the Regular and Grammar constraints specify constraints in terms of the languages accepted by an automaton and a context-free grammar respectively. Taking advantage of the fixed length of the constraint, we give an algorithm to transform a context-free grammar into an automaton. We then study the use of minimization techniques to reduce the size of such automata and speed up propagation. We show that minimizing such automata after they have been unfolded and domains initially reduced can give automata that are more compact than minimizing before unfolding and reducing. Experimental results show that such transformations can improve the size of rostering problems that we can 'model and run'.

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    Description

    Title : Reformulating Global Grammar Constraints
    Author(s) : George Katsirelos, Nina Narodytska, Toby Walsh
    Abstract : An attractive mechanism to specify global constraints in rostering and other domains is via formal languages. For instance, the Regular and Grammar constraints specify constraints in terms of the languages accepted by an automaton and a context-free grammar respectively. Taking advantage of the fixed length of the constraint, we give an algorithm to transform a context-free grammar into an automaton. We then study the use of minimization techniques to reduce the size of such automata and speed up propagation. We show that minimizing such automata after they have been unfolded and domains initially reduced can give automata that are more compact than minimizing before unfolding and reducing. Experimental results show that such transformations can improve the size of rostering problems that we can 'model and run'.
    Subject : unspecified
    Area : Other
    Language : English
    Year : 2009

    Affiliations NICTA and UNSW
    Journal : INTEGRATION OF AI AND OR TECHNIQUES IN CONSTRAINT PROGRAMMING FO
    Pages : 15
    Url : http://arxiv.org/abs/0903.0475

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    Toby's Peer Evaluation activity

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