We present a multi-context focused sequent calculus whose derivations are in bijective correspondence with normal natural deductions in the propositional fragment of the intuitioni...
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Abstract. We exhibit a methodology for formulating and verifying metatheorems about deductive systems in the Elf language, an implementation of the LF Logical Framework with an ope...
Otter-lambda is Otter modified by adding code to implement an algorithm for lambda unification. Otter is a resolution-based, clause-language first-order prover that accumulates de...
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...