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Reports (Research Report) Year : 1990

Any ground associative-commutative theory has a finite canonical system

Paliath Narendran
  • Function : Author
Michaël Rusinowitch

Abstract

We show that theories presented by a set of ground equations and with several associative-commutative symbols always admit a finite canonical system. In particular, the result is obtained through the construction of a reduction ordering which is AC-compatible and total on the set of congruence classes generated by the associativity and commutativity axioms. Such orderings are fundamental for deriving complete theorem proving strategies with built-in associative commutative unification.

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Other [cs.OH]
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Dates and versions

inria-00075236 , version 1 (24-05-2006)

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  • HAL Id : inria-00075236 , version 1

Cite

Paliath Narendran, Michaël Rusinowitch. Any ground associative-commutative theory has a finite canonical system. [Research Report] RR-1324, INRIA. 1990, pp.11. ⟨inria-00075236⟩
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