By Hsu L., Randolph T., Wang K.

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Future work includes the implementation of this calculus and the evaluation of its practical performances. The extension of the usual reduction orderings to Iterms also deserves to be investigated. Comparision with the works on metaterms [12] and on deduction modulo [11] will also be considered. References 1. : Rewrite-based equational theorem proving with selection and simplification. Journal of Logic and Computation 3(4), 217–247 (1994) 2. : Resolution theorem proving. In: Robinson and Voronkov [19], pp.

14–26. W. ): Global Integrability of Field Theories. Proc. of GIFT 2006. fr Abstract. Ordered resolution and superposition are the state-of-the-art proof procedures used in saturation-based theorem proving, for non equational and equational clause sets respectively. In this paper, we present extensions of these calculi that permit one to reason about formulae built from terms with integer exponents (or I-terms), a schematisation language allowing one to denote infinite sequences of iterated terms [8].

Springer, Heidelberg (2009) 6. : Automated Model Building. Applied Logic Series, vol. 31. Kluwer Academic Publishers, Dordrecht (2004) 7. : On finite representations of infinite sequences of terms. , Kaplan, S. ) CTRS 1990. LNCS, vol. 516, pp. 100–114. Springer, Heidelberg (1991) 8. : On unification of terms with integer exponents. Mathematical Systems Theory 28(1), 67–88 (1995) 9. : A unification algorithm for second-order monadic terms. Annals of Pure and Applied Logic 39(2), 131–174 (1988) 10.

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