Abstract. A formula ψ(Y ) is a selector for a formula ϕ(Y ) in a structure M if there exists a unique Y that satisfies ψ in M and this Y also satisfies ϕ. A formula ψ(X, Y )...
We describe an extension of first-order logic with sequence variables and sequence functions. We define syntax, semantics and inference system for the extension so that Completen...
This paper continues the line of research on representing actions, on the automation of commonsense reasoning and on planning that deals with causal theories and with action langua...
A critical problem for practical KR is dealing with relationships that change over time. This problem is compounded by representation languages such as OWL that are biased towards ...
It is well known that the resolution method (for propositional logic) is complete. However, completeness proofs found in the literature use an argument by contradiction showing tha...