Decidability results can sometimes be achieved via reduction to the pure case and sometimes can be based on direct goal-driven algorithms.

Abstract. Formal Set Theory is generally concerned with pure sets and decidability results for some classes of formulas are well-known.

Oct 22, 2024 · If these entities are assumed to be devoid of members, the standard extensionality axiom must be revised; then decidability results can ...

In this paper we adopt this approach in coping with the satisfiability problem: we show the decidability of this problem relativized to ∃∗∀-sentences, and ...

If these entities are assumed to be devoid of members, the standard extensionality axiom must be revised; then decidability results can sometimes be achieved ...

We show the decidability of this problem relativized to ∃*∀-sentences, and develop a goal-driven unification algorithm.

This page is a summary of: Decidability results for sets with atoms , ACM Transactions on Computational Logic, April 2006, ACM (Association for Computing ...

Formal set theory is traditionally concerned with pure sets; consequently, the satisfiability problem for fragments of set theory was most often addressed ...

Our main result is that deterministic machines are weaker than nondeterministic ones; in particular,. P6=NP in sets with atoms. Our main construction is closely.

Jan 2, 2019 · Results that fail after adding atoms include all results which depend on the subset construction, such as determinisation of finite automata,.