We formalise natural deduction for first-order logic in the proof assistant Coq, using De Bruijn indices for variable binding. The main judgement we model is of the form d [:] , ...
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...
Abstract. We illustrate a methodology for formalizing and reasoning about Abadi and Cardelli’s object-based calculi, in (co)inductive type theory, such as the Calculus of (Co)Ind...
Alberto Ciaffaglione, Luigi Liquori, Marino Micula...
Based on natural deduction, Pure Type Systems (PTS) can express a wide range of type theories. In order to express proof-search in such theories, we introduce the Pure Type Sequent...
Abstract. Formal verification of digital systems is achieved, today, using one of two main approaches: states exploration (mainly model checking and equivalence checking) or deduct...