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  1. 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 …

  2. Unification in first order logic - Mathematics Stack Exchange

    Jun 19, 2022 · Why should unification in first order logic be limited to unification of first order terms? In first order logic, when unification is defined as a equation, it does not consider unification of formula …

  3. Unification of an expression : Example - Mathematics Stack Exchange

    Jul 29, 2020 · Unification of an expression : Example Ask Question Asked 5 years, 5 months ago Modified 5 years, 5 months ago

  4. Is it possible to use Unification for lambda calculus?

    Jan 3, 2022 · 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 …

  5. Unification: constant, variable, function - Mathematics Stack Exchange

    Oct 28, 2020 · 1 In first-order unification, which you seem to be discussing, that is possible assuming X and Z are variables and a is a constant. I'd suggest you check carefully assumptions about …

  6. What is/How to do Unification - Mathematics Stack Exchange

    3 There is no unification in either case, since whatever you substitute for x x (and perhaps a a; you didn't state which symbols are variables to be substituted), the first expression of the pair will have P P as …

  7. Use unification and resolution to justify proof

    Feb 17, 2016 · Resolution and unification are important in logic programming if you want to understand how the inference engine works.

  8. Quotient objects, their universal property and the isomorphism theorems

    Unification of isomorphism theorems and similar algebraic lemmas is one of the main aims of Borceux-Bourn, Mal'cev, protomodular, homological and semi-abelian categories, maybe it contains some of …

  9. Substitution To Find Most General Unifier - Mathematics Stack Exchange

    Nov 22, 2013 · 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 …

  10. abstract algebra - Associative, commutative properties and identity ...

    The unification works by reducing associative functions such as max (a,max (b,c)) onto a varydic and canonical form max (a,b,c) and then performing the pattern matching onto this canonical forms, so all …