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0.2.1 Term Rewriting & Strategy Module #12

Description

@Mathnerd314

Goal: Implement language semantics, macro systems, and rewrite-based optimizations using higher-order pattern matching, strategy control (outermost-first, inner-strict, tactic combinations), confluence checks, and support for infinitary/regular infinite terms.

Futamura role
Implements the reduction steps of the specializer, a sub-component of the partial evaluation engine (2.2), also used by 0.1 (the graph reduction engine) for primitive evaluation rules.

  • Input

    • Rewrite rules with patterns, guards, and conditions.
    • Terms (including higher-order, regular infinite trees, suspended computations, "isolated" terms like a polynomial and an interval that identifies a root).
  • Processing

    • Perform higher-order pattern matching; evaluate alternatives via logic engine, guards via meta-programming.
    • Strategy control: outermost-first, strict inner-first, tactic combinations.
    • Confluence checks where possible; if confluent, allow more aggressive strategy choices.
    • Termination/normalization checks (when provable) or watchdogs/limits when not.
    • Support infinitary/regular infinite terms, cycle condensation, meaningless term detection.
  • Output

    • Normal form or partially normal form.
    • Information about convergence, divergence, or ambiguity.

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