TY  - CHAP
AV  - none
SN  - 978-3-642-24363-9
T3  - Lecture Notes in Computer Science
SP  - 211
N2  - Modularity is a highly desirable property in the development of satisfiability procedures. In this paper we are interested in using a dedicated superposition calculus to develop satisfiability procedures for (unions of) theories sharing counter arithmetic. In the first place, we are concerned with the termination of this calculus for theories representing data structures and their extensions. To this purpose, we prove a modularity result for termination which allows us to use our superposition calculus as a satisfiability procedure for combinations of data structures. In addition, we present a general combinability result that permits us to use our satisfiability procedures into a non-disjoint combination method à la Nelson-Oppen without loss of completeness. This latter result is useful whenever data structures are combined with theories for which superposition is not applicable, like theories of arithmetic. 
ID  - eprints1355
Y1  - 2011///
TI  - Modular Termination and Combinability for Superposition Modulo Counter Arithmetic
UR  - http://dx.doi.org/10.1007/978-3-642-24364-6_15
T2  - Frontiers of Combining Systems :  Title     Frontiers of Combining Systems : Proceedings of the 8th International Symposium, FroCoS 2011
PB  - Springer
A1  - Ringeissen, Christophe
A1  - Senni, Valerio
EP  - 226
N1  - 8th International Symposium, FroCoS 2011, Saarbrücken, Germany, October 5-7, 2011
ER  -