In this paper we investigate the purely logical rule of term induction, i.e. induction deriving numerals instead of arbitrary terms. In this system it is not possible to bound the ...
We show how a well-known superposition-based inference system for first-order equational logic can be used almost directly as a decision procedure for various theories including l...
We show that dependent sums and dependent products of continuous parametrizations on domains with dense, codense, and natural totalities agree with dependent sums and dependent pro...
In the ambient logic of classical second order propositional calculus, we solve the specification problem for a family of excluded middle like tautologies. These are shown to be r...