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5.1. Limitations of Term Rewriting

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we saw how term rewriting can be used to implement transformations on programs represented by means of terms. Term rewriting involves exhaustively applying rules to subterms until no more rules apply. This requires a strategy for selecting the order in which subterms are rewritten. The innermost strategy introduced in Chapter12 applies rules automatically throughout a term from inner to outer terms, starting with the leaves. The nice thing about term rewriting is that there is no need to define traversals over the syntax tree; the rules express basic transformation steps and the strategy takes care of applying it everywhere. However, the complete normalization approach of rewriting turns out not to be adequate for program transformation, because rewrite systems for programming languages will often be non-terminating and/or non-confluent. In general, it is not desirable to apply all rules at the same time or to apply all rules under all circumstances.

Consider for example, the following extension of prop-dnf-rules with distribution rules to achieve conjunctive normal forms:

This rewrite system is non-terminating because after applying one of the and-over-or distribution rules, the or-over-and distribution rules introduced here can be applied, and vice versa.

There are a number of solutions to this problem. We’ll first discuss a couple of solutions within pure rewriting, and then show how programmable rewriting strategies can overcome the problems of these solutions.

The non-termination of prop-cnf is due to the fact that the and-over-or and or-over-and distribution rules interfere with each other. This can be prevented by refactoring the module structure such that the two sets of rules are not present in the same rewrite system. For example, we could split module prop-dnf-rules into prop-simplify and prop-dnf2 as follows:

Now we can reuse the rules from prop-simplify without the and-over-or distribution rules to create a prop-cnf2 for normalizing to conjunctive normal form:

Although this solves the non-termination problem, it is not an ideal solution. In the first place it is not possible to apply the two transformations in the same program. In the second place, extrapolating the approach to fine-grained selection of rules might require definition of a single rule per module.

Another common solution to this kind of problem is to introduce additional constructors that achieve normalization under a restricted set of rules. That is, the original set of rules p1 -> p2 is transformed into rules of the form f(p_1) -> p_2' , where f is some new constructor symbol and the right-hand side of the rule also contains such new constructors. In this style of programming, constructors such as f are called functions and are distinguished from constructors. Normal forms over such rewrite systems are assumed to be free of these function symbols; otherwise the function would have an incomplete definition.

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Our Mission - To Worship Christ In All Things As We Share Him With All People.

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By Kathi Bush MA, LCPC

Welcome back for Part Five. We’re almost done! Up to this point, we’ve covered three points that are essential to building trust. They are: Toto F6506B 3 inches Taller height Increasing Elevator Shoes Dark Brown Leather Laceup Premium Faux Leather Bottom Sole NtIIh3
trust should happen with “safe” people , and trust is established when good repair work is done following a relationship injury . Now on to point four:

Trust should coincide with good judgment and character discernment .

Trust should coincide with good judgment and character discernment

Many people have felt regret over trusting in a friendship or relationship they shouldn’t have. They didn’t recognize markers or red flags that could have tipped them off. When they eventually recognized signs of trouble, they weren’t sure how to get themselves out. Growing up, they weren’t intentionally trained in character discernment, so they ended up learning it haphazardly, making mistakes that could have been avoided. Sometimes patterns emerged as they got hooked into the same cycle. Eventually, they connected the dots and tried not to repeat mistakes.

One common pattern people find themselves in is to trust “too easily,” giving trust before enough time has elapsed to see if it’s warranted. Another pattern is keeping a consistently harmful relationship in “status quo” mode, hoping the other will change.

A third pattern particularly affecting Christians is remaining in a consistently unhealthy or harmful friendship because the other is also a Christian, and they think they “should” be able to make it work (or, if the friend is not a Christian, remaining in it to be an example of “unconditional love”). These Christians sometimes view stepping back from the relationship as a spiritual flaw or disobedience. In Scripture, we are called to live unified in loving, compassionate, forgiving community and to not harbor bitterness against one other. (Col 3:12-14, NIV, 1985). But we can still fulfill these commands while respectfully stepping back from a relationship that consistently causes harm and has repetitively unsuccessful repair attempts.

We all have different needs and areas of brokenness, so what is a good match for one of us may not be a good match for another. Once we’ve developed fairly good character discernment, we tend to recognize good fits sooner than before. Seek and pursue people that are a safe fit for you. Then give and develop trust in those relationships.

References :

References

Barker, Kenneth (General Ed.). Burdick, D., Stek, J., Wessel, W., and Youngblood, R., (Assoc. Eds). (1985). The NIV Study Bible: New International Version . Grand Rapids, MI: Zondervan Bible Publishers.

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Several concept art of Cole was made under the name of "Chance" . There, Cole wore a sling bag and jacket similar to his inFamous render. Also, Cole wore black track pants with Japanese characters and the letter "Z" on the right side, with a yellow stripe. Cole also raised the left side of his pants a bit, showing bandages on his leg. He was also bald, and wore a scarf to cover the entirety of his face. He also had a gun kept on his bag's sash.

An early render of this design can be seen at several websites, albeit modified. Cole's sling bag design was more detailed, rendering it a purple/violet and white one with a tribal design at the back. The design on his jacket was also brought into more detail, as the material appeared to be leather padding. He also lost his face scarf. This design was later changed.

An interesting element of this design involved the developers deciding to remove the gun, and come up with a mechanism to render it obsolete, thus giving them the impetus to develop Cole's latter electrical powers, as well as the decision to remove his hair, as baldness was easier to render.

Cole's original design in inFamous 2

The first ever image of Cole during inFamous 2 was released to the public, which showed concept art of Cole with thicker hair, and a thicker, more noticeable beard. He wore a simple black T-Shirt, and a black sling bag. Cole wore black track pants with a white Union Jack design by the side, and also used sports shoes specifically designed for parkour. Cole's accessories included bandages, some rope necklaces, and tattoos with designs different from his current tattoos. This design was then rendered in 3D, and was seen in the E3 Gameplay and Debut trailer of inFamous 2 . Several other screenshots render Cole with even thicker hair, and also minor changes to his design.

This design was scrapped after a majority of negative fan reactions, due to Cole looking like an entirely different person, barely resembling his original look.

This design for Cole was received several nicknames such as, Original InFamous 2 Cole , E3 Cole , and Cole Drake / Nathan MacGrath (due to his similar appearance to Nathan Drake from the Uncharted series.)

This design of Cole was also used as an Easter Egg in the Naughty Dog video game The Last Of Us where he appeared on a movie poster for the in-universe movie Fame .

This list shows the characters killed by Cole:

In Kessler's timeline, Cole and Trish married, with Zeke as the best man.

In an alternate timeline, Kessler/Cole 's original world, Cole was married to Trish and had Zeke as his best man on their wedding day. The couple had two daughters, and lived in an unnamed city (most likely Empire City). During the said timeline, Cole had his powers, and his world was being ravaged by an entity known as " The Beast ". Instead of fighting, he fled from the Beast, even though he had the power to stop him. After years, the Beast had destroyed most of the world, and Kessler was too late to save his family, or anyone else. In an attempt to rewrite history, Kessler goes back in time. Justin Boots Mens 13 Inch Ranch Collection Riding Boot Cognac Delta ZRWb6

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