—A system of linear dependent types for the lambda calculus with full higher-order recursion, called d PCF, is introduced and proved sound and relatively complete. Completeness h...
' abstraction theorem shows how a typing judgement in System F can be translated into a relational statement (in second order predicate logic) about inhabitants of the type. ...
Jean-Philippe Bernardy, Patrik Jansson, Ross Pater...
In this paper, we present a syntax-directed termination and reduction checker for higher-order logic programs. The reduction checker verifies parametric higher-order subterm orderi...
The two main types of law are legislation and precedents. Both types have a corresponding reasoning pattern determining legal consequences: legislation can be applied and precedent...
We logically model uncertainty by expanding language without changing logical reasoning rules. We expand the language of set theory by adding new predicate symbols, uncertain membe...