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1 results

  • Higher-order pattern generalization modulo equational theories

  • David M. Cerna, Temur Kutsia
  • Journal:
    Mathematical Structures in Computer Science / Volume 30 / Issue 6 / June 2020
    Published online by Cambridge University Press:
    20 May 2020, pp. 627-663
    • Article
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  • We consider anti-unification for simply typed lambda terms in theories defined by associativity, commutativity, identity (unit element) axioms and their combinations and develop a sound and complete algorithm which takes two lambda terms and computes their equational generalizations in the form of higher-order patterns. The problem is finitary: the minimal complete set of such generalizations contains finitely many elements. We define the notion of optimal solution and investigate special restrictions of the problem for which the optimal solution can be computed in linear or polynomial time.