International audienceWe introduce and investigate the concept of frozen partial co-clones. Our main motivation for studying frozen partial co-clones is that they have important applications in complexity analysis of constraints. The frozen partial co- clones lie between the co-clones and partial co-clones in the sense that the partial co-clone lattice is a refinement of the frozen partial co-clone lattice, which in turn is a refinement of the co-clone lattice. We concentrate on the Boolean domain and determine large parts of the frozen partial co-clone lattice
peer reviewedWe study intervals I(A) of partial clones whose total functions constitute a (total) cl...
Abstract. We summarize what we know about the clone lattice on an infinite set and formulate what we...
International audienceLet k be a k-element set. We show that the lattice of all strong partial clone...
International audienceWe introduce and investigate the concept of frozen partial co-clones. Our main...
We introduce and investigate the concept of frozen par-tial co-clones. Our main motivation for study...
International audienceA strong partial clone is a set of partial operations closed under composition...
In a recent paper, we have introduced the notion of clone relation of a given binary relation. Intui...
International audienceD. Lau raised the problem of determining the cardinality of the set of all par...
International audienceThe following natural problem, first considered by D. Lau, has been tackled by...
An important tool in the study of the complexity of Constraint Satisfaction Problems (CSPs) is the n...
We study algebraic structures called weighted clones. These structures characterise the computationa...
peer reviewedIn [Romov, ISMVL 2013] the first author introduced a type of partial clones as the inte...
Computer scientists are curious about the complexity relationship between different kinds of NP-comp...
International audienceThe study of partial clones on 2 := {0, 1} was initiated by R. V. Freivald. In...
International audienceLet k be a k-element set. We show that the lattice of all strong partial clone...
peer reviewedWe study intervals I(A) of partial clones whose total functions constitute a (total) cl...
Abstract. We summarize what we know about the clone lattice on an infinite set and formulate what we...
International audienceLet k be a k-element set. We show that the lattice of all strong partial clone...
International audienceWe introduce and investigate the concept of frozen partial co-clones. Our main...
We introduce and investigate the concept of frozen par-tial co-clones. Our main motivation for study...
International audienceA strong partial clone is a set of partial operations closed under composition...
In a recent paper, we have introduced the notion of clone relation of a given binary relation. Intui...
International audienceD. Lau raised the problem of determining the cardinality of the set of all par...
International audienceThe following natural problem, first considered by D. Lau, has been tackled by...
An important tool in the study of the complexity of Constraint Satisfaction Problems (CSPs) is the n...
We study algebraic structures called weighted clones. These structures characterise the computationa...
peer reviewedIn [Romov, ISMVL 2013] the first author introduced a type of partial clones as the inte...
Computer scientists are curious about the complexity relationship between different kinds of NP-comp...
International audienceThe study of partial clones on 2 := {0, 1} was initiated by R. V. Freivald. In...
International audienceLet k be a k-element set. We show that the lattice of all strong partial clone...
peer reviewedWe study intervals I(A) of partial clones whose total functions constitute a (total) cl...
Abstract. We summarize what we know about the clone lattice on an infinite set and formulate what we...
International audienceLet k be a k-element set. We show that the lattice of all strong partial clone...