We introduce the calculus of structures: it is more general than the sequent calculus and it allows for cut elimination and the subformula property. We show a simple extension of m...
We present a logical framework Υ for reasoning on a very general class of languages featuring binding operators, called nominal , presented in higher-order abstract syntax (HOAS)....
Abstract. aRa is an automatic theorem prover for various kinds of relation algebras. It is based on Gordeev’s Reduction Predicate Calculi for n-variable logic (RPCn) which allow ...
: The bene ts of the object, logic or relational, functional, and constraint paradigms can be obtained from our previous combination of the object and functional paradigms in hidde...
Nuprl and HOL are both tactic-based interactive theorem provers for higher-order logic, and both have been used in many substantial applications over the last decade. However, the ...