Got it! This site "creationpie.com" uses cookies. You consent to this by clicking on "Got it!" or by continuing to use this website. Note: This appears on each machine/browser from which this site is accessed.
A constraintlogicsystem is a system of constraints whose solution needs to satisfy those constraints. One example is in the field of linearprogramming (which uses linear constraints) where all solutions are (points or lines) on the boundary of the convex region.
A unifier unifies the constraints without contradictions.
A MGU (Most General Unifier) unifies the constraints without contradictions and has a minimal frontier in the lattice of constraints, a LFP (Least Fixed Point). If there are multiple solutions, a constraint logic system will attempt to find all MGU constraints.
3. Negation by failure
In logical reasoning terms, this uses a "negation by failure" reasoning, common in logical programming and in human logic.
Negation by failure goes as follows: If one cannot prove something true it is assumed to be false.
If something cannot be shown to be a witness for God, then it is, by negation by failure reasoning, a sin.
4. Constraint logic: unification and resolution
Determining the meaning of a word or phrase or idiom by looking at how it is used is similar to the idea of unification in computer science (type inference) or logic programming (e.g., Prolog) or constraint logic programming in general.
Robinson's unification algorithm (1965)
Hindley-Milner type inference (1969, 1978)
A unifier solves a problem for the entire collection of examples. A MGU is more general than any other unifier.
The goal, as in programming, is to find the least fixed point of a system of constraints that will act as a MGU. This is more complicated, linguistically, when there is more than one word or phrase that is unknown in all examples of text that use that word or phrase.
5. Prolog
A specific implementation of unification and resolution is found in the logic programming language Prolog which stands for "Programming in logic". Prolog uses "logical variables" which are placeholders to be filled-in later. Backtracking allows Prolog to undo assumptions when no solution is possible in order to try to find a solution or more solutions.
Unification A solution to a query is a binding to variables that make the query true (satisfy it). Unification is the minimal substitution of terms for variables such that the terms are satisfied.
6. Logical variables
In a logic language, such as Prolog, a logical variable is a placeholder that can hold one value. If at some point the system cannot be unified, backtracking is done to find a point at which the search for a solution can continue.
In this example, a logical variable is used to represent "salt". That is, whatever "salt" represents. And so on.
Let use cover some constraints as they appear and then summarize them at the end. For the present, where the KJV (King James Version) models the GNT (Greek New Testament), we will not be concerned with any nuances.
7. Puzzles
Unification is a form of finding (similar) pieces of a puzzle given a framework of constraints.
This is, given a selection of texts where all (or most) of the words are known except for one, the goal is to find a unifier such that all of the texts now make sense in the context that they are written.
Some puzzles are easier to solve than other puzzles.
8. Puzzle pieces
all in
all none
all out
A simple puzzle piece has four sides and each side can have one of three configurations: in, none, out.
9. Puzzle pieces
Here there are 3*3*3*3 or 81 possible puzzle pieces. Some are the same under rotation so that there are 24 unique pieces. These 24 pieces can be used to create a puzzle. It is harder to take the mixed-up pieces and make the puzzle.
10. Interactive constraints
Find a better word that fits the constraints discussed above. The "Suggest" button provides one possible constraint solution, but not the best one.
Matthew 5:13. Ye are the salt of the earth: but if the salt have lost its saltiness, wherewith shall it be salted? The salt is/are thenceforth good for nothing, but to be cast out, and to be trodden under foot of men.
Mark 9:49. For every one shall be salted with fire.
Mark 9:50.salted is good: but if the salt have lost its saltiness, wherewith will ye salt it? Have salt in yourselves, and have peace one with another.
Colossians 4:6. Let your speech be always with grace, salted with salt, that ye may know how ye ought to answer every man.
Your word 1:
Your word 2:
Your word 3:
11. Puzzle patterns
Salt: You are the salt of the earth.
Light: You are the light of the world.
Candle: You are the candle of the _______.
Candle: You are the candle of the air.
Candle: You are the candle of heaven.
Candle: You are the kingdom of heaven.
A candle might represent a type of kingdom such as a church or group of believers. (Revelation).
To provide value, a business needs an objective function that can be maximized or minimized.
A simple objective function, such as with linear constraints, has a feasible region for which an optimum value of the objective function needs to be determined.
What might the objective function be for the following?
(medical) hospital
(medical) insurance company
educational institution
social work (government) group
church
What happens if the objective function of the person doing the work does not match the objective function of the institution?
Not every constraint can be maximized or minimized at the same time.
The idea of "optimization" means finding a solution that maximizes or minimizes the combined constraints.
It is not all or nothing for each part, but both are needed.
☐ Value: Love God. Love God's rules. Hate the sin.
☐ Value: Love neighbor as yourself. Love the sinner.
How well can you succeed if you provide just one value?
