Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incremental Satisfiability and Implication for UTVPI Constraints   Unit two-variable-per-inequality (UTVPI) constraints form one of the largest
class of integer constraints which are polynomial time solvable (unless P=NP).
There is considerable interest in their use for constraint solving, abstract
interpretation, spatial databases, and theorem proving. In this paper we
develop a new incremental algorithm for UTVPI constraint satisfaction and
implication checking that requires O(m + n log n + p) time and O(n+m+p) space
to incrementally check satisfiability of m UTVPI constraints on n variables and
check implication of p UTVPI constraints.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph