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
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)
Holomorphic at infinity (definition) - Mathematics Stack Exchange real-analysis is different than complex analysis in many ways - infinity in the plane is (almost) equivalent to any point conformally by using Mobius transforms and there is a lot of simplification and unification thinking that way - eg lines are circles that pass through $\infty$, there is a natural topology and a natural complex structure on
soft question - I want to do mathematics similar to style of . . . Grand unification Solving problems as a test of general vision Etc How can we achieve or implement these styles ideals of mathematics? Does anyone have any experience with this? Is there a simple and clear way know-how? By selecting some 'good' problems (with discerning for cognizing good problems) and trying to solve them, like the Galois
Are open sets and neighborhoods defined circularly? I am a Physics undergrad, and just started studying Topology How do you define neighborhood and open set in Topology Wikipedia gives a circular definition An open set is defined as follows In