A new logic is posited for the widely used HOL theorem prover, as an extension of the existing higher order logic of the HOL4 system. The logic is extended to three levels, adding ...
Abstract. One of the fundamental and seemingly simple aims of mathematical knowledge management (MKM) is to develop and standardize formats that allow to “represent the meaning o...
This paper extends the model theory of RDF with rules, placing an emphasis on integration with OWL and decidability of entailstart from an abstract syntax that views a rule as a pa...
The probability theory is a well-studied branch of mathematics, in order to carry out formal reasoning about probability. Thus, it is important to have a logic, both for computati...
Abstract. A well-known problem in program generation is scoping. When identifiers (i.e., symbolic names) are used to refer to variables, types, or functions, program generators mu...