logic: unification of a formula - Mathematics Stack Exchange The Unification Algorithm is described at page 84 You have to recall the resolution calculus [page 29] : Resolution is a simple syntactic transformation applied to formulas From two given formulas in a resolution step (provided resolution is applicable to the formulas), a third formula is generated
Is it possible to use Unification for lambda calculus? I haven't though this through, but I think the answer is yes, but that the unification algorithm may not terminate, and that determining if it terminates for a particular case is as difficult as the general halting problem Usually the thing we like about unification algorithms is that they always terminate, because they do structural recursion on the input term
What are some calculus, linear algebra and probability and statistics . . . This book will take you from single variable calculus (should be familiar to you) up through multivariate and vector calculus, ending neatly with the unification of the Fundamental Theorem of Calculus, Green's Theorem, Stokes' Theorem, and the Divergence Theorem:
Substitution To Find Most General Unifier - Mathematics Stack Exchange The most general is $\phi\ x \mapsto y$, since $\psi$ factors though $\phi$ with $\Phi\ y \mapsto c$ (or equivalently $\phi\ y \mapsto x$ and $\Phi\ x \mapsto c$) The usual simple unification algorithm will generate an mgu; basically just pick the simplest unification (unify variables to variables, not to some other constants ground terms)