In Theorem 6.1 of [3] it was shown that, when v = r + c - 1, every triple array TA(v, k, rr, cc, k : r ? c) is a balanced grid BG(v, k, k : r?c). Here we prove the converse of thi...
We prove in this paper that if r and s are two semilinear power series in commuting variables and s has bounded coefficients, then r-s is a rational series. This result can be tho...
In the context of program verification in an interactive theorem prover, we study the problem of transforming function definitions with ML-style (possibly overlapping) pattern mat...
In 1969 Cordell Green presented his seminal description of planning as theorem proving with the situation calculus. The most pleasing feature of Green's account was the negli...
Term rewriting has a significant presence in various areas, not least in automated theorem proving where it is used as a proof technique. Many theorem provers employ specialised p...