… proofs and a parallel trace checker. Based on this, we show the feasibility of using certified
model counting … Specifically, we aim for traces that are proofs for model counting where each …

… To include the case where n = 0, we take T0 to consist of a single node, counted as an interior
node; the … To formalize this as a tautology in propositional logic we introduce propositional …

… , the typing derivations can be seen as the result of decorating logical proofs with λ-terms. In
… -proofs with terms from Λν. Actually, we establish the correspondence by considering proofs …

… propositional logic. It came as a blow to me to find that logicians in the late 1960s considered
the whole field of propositional logic … that reasoning based on counting seems to be beyond …

… within a logical system? In a series of recent works [3, 1, 4], we introduce logics with counting
and … of deciding formulas of CPL0 (and of proofs in the corresponding calculus LKCPL0 …

… proofs of bounded arithmetic with modular counting quantifiers into constant depth propositional
logic with modular counting … , we prove that constant depth propositional proofs that use …

… counts the length of the function symbols in the proof). Thus suppose ℓ ≥ 1, and the proposition
holds for all proofs … if f is defined by recursion, then there are proofs of length less than ℓ, …

… tion have the advantage that in general inductive definitions and proofs are smaller. …
Proof For the proof of this fact we use a counting argument. There are in total 22" non-equivalent …

… Proofs of results in the paper will be sketchy, referring the reader to the literature for … logic,
knowledge representation and generalized quantifier theory approaches to the above counting …

… of propositional logic with emphasis on independence proofs and lower bound proofs. The
… Many interesting problems and notions arise in connection with counting functions. For R(x, …