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E-unification problems are central in automated deduction. In this work, we consider unification modulo theories that extend the well-known ACI or ACUI by adding a binary symbol “*” that distributes over the AC(U)I-symbol “+.” If this distributivity is one-sided (say, to the left), we get the...
Mathematical reasoning may involve several arithmetic types, including those of the natural, integer, rational, real, and complex numbers. These types satisfy many of the same algebraic laws. These laws need to be made available to users, uniformly and preferably without repetition, but with due...
Proof planning is an application of AI planning to theorem proving that employs plan operators that encapsulate mathematical proof techniques. Many proofs require the instantiation of variables; that is, mathematical objects with certain properties have to be constructed. This is particularly...
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