TY  - UNPD
A1  - Schmidt-Schauß, Manfred
T1  - Unification of stratified second-order terms
T2  - Universität Frankfurt am Main. Fachbereich Informatik: Interner Bericht ; 94,12
T2  - Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik ; 1
N2  - We consider the problem of unifying a set of equations between second-order terms. Terms are constructed from function symbols, constant symbols and variables, and furthermore using monadic second-order variables that may stand for a term with one hole, and parametric terms. We consider stratified systems, where for every first-order and second-order variable, the string of second-order variables on the path from the root of a term to every occurrence of this variable is always the same. It is shown that unification of stratified second-order terms is decidable by describing a nondeterministic decision algorithm that eventually uses Makanin's algorithm for deciding the unifiability of word equations. As a generalization, we show that the method can be used as a unification procedure for non-stratified second-order systems, and describe conditions for termination in the general case.
T3  - Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik - 1 
T3  - Interner Bericht / Fachbereich Informatik, Johann Wolfgang Goethe-Universität Frankfurt a.M. - 94,12 
Y1  - 1994
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/4606
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30-8884
UR  - http://www.ki.informatik.uni-frankfurt.de/papers/schauss/D-uni-SO-9-95.ps
SP  - 1
EP  - 39
PB  - Johann Wolfgang Goethe-Univ., Fachbereich Informatik und Mathematik, Inst. für Informatik, Research group for Artificial Intelligence and Software Technology
CY  - Frankfurt [am Main]
ER  -