We consider equational theories for functions defined via recursion involving equations between closed terms with natural rules based on recursive definitions of the function symb...
Abstract— We propose in this paper a generalization of percolation processes in Z2 using the pretopology theory. We formalize the notion of neighborhood by extending it to the co...
Abstract. We extend Shelah’s first many model result to show that an unstable theory has 2κ many non-permutation group isomorphic models of size κ, where κ is an uncountable ...
Abstract. We introduce a general notion of miniaturization of a problem that comprises the different miniaturizations of concrete problems considered so far. We develop parts of t...
I describe the mechanisation in HOL of some basic -calculus theory, using the axioms proposed by Gordon and Melham [4]. Using these as a foundation, I mechanised the proofs from C...