I'm not sure I follow? For one, if algebraic isn't aiming at the ideas in an algebra, then they absolutely should be using a different name.
For two, though, the whole idea is how to compose the "value" of different effects together? My point is that the "value" is not the written value of a variable in ways that people are used to working with in their program. It will be a meta-value about some state represented by the program.
Is that not the case? If my use of the word "value" there is confusing things, I'm open to using some other words. My point is largely that the "value" of concern in effect systems is not the same as the value of a variable as people are used to reasoning. You are specifically meta-reasoning about the state of the program in ways that may not be represented by an explicit value of the program.
Not that that alone is unheard of. If you asked people to tell you the program counter of a function, they would largely get what you mean. Even if it is not something that is represented in the values of the program, itself.
For two, though, the whole idea is how to compose the "value" of different effects together? My point is that the "value" is not the written value of a variable in ways that people are used to working with in their program. It will be a meta-value about some state represented by the program.
Is that not the case? If my use of the word "value" there is confusing things, I'm open to using some other words. My point is largely that the "value" of concern in effect systems is not the same as the value of a variable as people are used to reasoning. You are specifically meta-reasoning about the state of the program in ways that may not be represented by an explicit value of the program.
Not that that alone is unheard of. If you asked people to tell you the program counter of a function, they would largely get what you mean. Even if it is not something that is represented in the values of the program, itself.