Petar Vukmirović ; Alexander Bentkamp ; Visa Nummelin - Efficient Full Higher-Order Unification

lmcs:6919 - Logical Methods in Computer Science, December 14, 2021, Volume 17, Issue 4 -
Efficient Full Higher-Order Unification

Authors: Petar Vukmirović ; Alexander Bentkamp ; Visa Nummelin

We developed a procedure to enumerate complete sets of higher-order unifiers based on work by Jensen and Pietrzykowski. Our procedure removes many redundant unifiers by carefully restricting the search space and tightly integrating decision procedures for fragments that admit a finite complete set of unifiers. We identify a new such fragment and describe a procedure for computing its unifiers. Our unification procedure, together with new higher-order term indexing data structures, is implemented in the Zipperposition theorem prover. Experimental evaluation shows a clear advantage over Jensen and Pietrzykowski's procedure.

Volume: Volume 17, Issue 4
Published on: December 14, 2021
Accepted on: October 4, 2021
Submitted on: November 20, 2020
Keywords: Computer Science - Logic in Computer Science


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