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A pure lambda-calculus interpreter that applies tabling to weak-head reduction, folding self-referential terms into finite cyclic graphs

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tablambda

CI PyPI Python versions License: MIT

A pure lambda-calculus interpreter and compiler, realizing the semantics of the paper paper/tablambda.tex and depending on fixpoints.

pip install tablambda

You write ordinary pure lambda terms, and the interpreter gives them powers a pure language normally lacks:

  • Cyclic and infinite data structures, built and transformed directly, with no letrec, no added recursion construct, and no mutable references.
  • Automatic memoization and dynamic programming: repeated subproblems are shared for you, with no cache written by hand.
  • A diverging loop is detected and returns a meaningless value in finite time instead of hanging.

The companion compiler turns a term into a standalone Python module, so a program written once as a lambda term can also run as compiled code.

No parser is provided: terms are built directly in Python, with a small prelude of the usual combinators, Church numerals, and Scott-encoded lists.

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