1 \chapter{\isac s tactics} |
|
2 |
|
3 \begin{description} |
|
4 \item{\bf Init\_Proof\_Hid (dialogmode, formalization, specification)} transfers the arguments to the math engine, the latter two in order to solve the example automatically. The tactic is not intended to be used by the student; it generates a proof tree with an empty model. |
|
5 \item{\bf Init\_Proof} generates a proof tree with an empty model. |
|
6 \item{\bf Model\_Problem problem} determines a problemtype (eventually found in the hierarchy) to be used for modeling. |
|
7 \item{\bf Add\_Given, Add\_Find, Add\_Relation formula} inputs a formula to the respective field in a model (necessary as long as there is no facility for the user to input formula directly, and not only select the respective tactic plus formula from a list). |
|
8 \item{\bf Specify\_Theory theory, Specify\_Problem problem, Specify\_Method method} specifies the respective element of the knowledgebase. |
|
9 \item{\bf Refine\_Problem problem} searches for a matching problem in the hierarchy below 'problem'. |
|
10 \item{\bf Apply\_Method method} finishes the model and specification phase and starts the solve phase. |
|
11 \item{\bf Free\_Solve} initiates the solve phase without guidance by a method. |
|
12 \item{\bf Rewrite theorem} applies 'theorem' to the current formula and transforms it accordingly (if possible -- otherwise error). |
|
13 \item{\bf Rewrite\_Asm theorem} is the same tactic as 'Rewrite', but stores an eventual assumption of the theorem (instead of evaluating the assumption, i.e. the condition) |
|
14 \item{\bf Rewrite\_Set ruleset} similar to 'Rewrite', but applies a whole set of theorems ('ruleset'). |
|
15 \item{\bf Rewrite\_Inst (substitution, theorem), Rewrite\_Set\_Inst (substitution, ruleset)} similar to the respective tactics, but substitute a constant (e.g. a bound variable) in 'theorem' before application. |
|
16 \item{\bf Calculate operation} calculates the result of numerals w.r.t. 'operation' (plus, minus, times, cancel, pow, sqrt) within the current formula. |
|
17 \item{\bf Substitute substitution} applies 'substitution' to the current formula and transforms it accordingly. |
|
18 \item{\bf Take formula} starts a new sequence of calculations on 'formula' within an already ongoing calculation. |
|
19 \item{\bf Subproblem (theory, problem)} initiates a subproblem within a calculation. |
|
20 \item{\bf Function formula} calls a function, where 'formula' contains the function name, e.g. 'Function (solve $1+2x+3x^2=0\;\;\;x$)'. In this case the modelling and specification phases are suppressed by default, i.e. the solving phase of this subproblem starts immediately. |
|
21 \item{\bf Split\_And, Conclude\_And, Split\_Or, Conclude\_Or, Begin\_Trans, End\_Trans, Begin\_Sequ, End\_Sequ, Split\_Intersect, End\_Intersect} concern the construction of particular branches of the prooftree; usually suppressed by the dialog guide. |
|
22 \item{\bf Check\_elementwise assumptions} w.r.t. the current formula which comprises elements in a list. |
|
23 \item{\bf Or\_to\_List} transforms a conjunction of equations to a list of equations (a questionable tactic in equation solving). |
|
24 \item{\bf Check\_postcond:} check the current formula w.r.t. the postcondition on finishing the resepctive (sub)problem. |
|
25 \item{\bf End\_Proof} finishes a proof and delivers a result only if 'Check\_postcond' has been successful before. |
|
26 \end{description} |
|