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-rw-r--r-- | notes/term_rewriting.md | 54 |
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diff --git a/notes/term_rewriting.md b/notes/term_rewriting.md new file mode 100644 index 0000000..9d0255a --- /dev/null +++ b/notes/term_rewriting.md @@ -0,0 +1,54 @@ + +Syntax for term re-writing: + + (rule <pattern> + <substitute>) + +Pattern examples: + + (? a) + (? a number?) + (? a not-number?) + (? a number? odd?) + (? a (free? x)) + (? a (neq? 0)) + + ; match zero or more into a list; expand list in-line, same order + (?* l) + +Full examples: + + (rule (/ 1 (/ (? a) (? b))) + (/ (? b) (? a))) + +Simplifications: + +- variable names must be single Latin letter +- predicates are fixed to a set of type checks + +## Implementation + +Separate rule lists, one for each "head" type (Sum, Product, Power, etc). + + struct RuleSet { + sum_rules: Vec<Rule>, + product_rules: Vec<Rule>, + [...] + } + + struct Rule { + variables: HashMap<type, char, Vec<predicates>>, + pattern: MatchExpr, + substitute: MatchExpr, + } + + enum MatchExpr { + variable: char, + atom: CExpr, + list: { head: expr_type, tail: Vec<MatchExpr> }, + } + +---------------- + +Backburner: +- are additional pattern-wide predicates necessary or helpful? |