There is a well-known correspondence between varieties of algebras and fully invariant congruences on the appropriate term algebra. A special class of varieties are those which ar...
Eilenberg's variety theorem gives a bijective correspondence between varieties of languages and varieties of finite monoids. The second author gave a similar relation between...
Abstract. In a seminal STOC'95 paper, Arya et al. [4] devised a construction that for any set S of n points in Rd and any > 0, provides a (1 + )-spanner with diameter O(lo...
Mazurkiewicz traces form a model for concurrency. Temporal logic st-order logic are important tools in order to deal with the abstract behavior of such systems. Since typical prop...
It is known that the languages definable by formulae of the logics FO2[<,S], 2[<,S], LTL[F,P,X,Y] are exactly the variety DAD. Automata for this class are not known, nor is i...