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...
We consider instantiation-based theorem proving whereby instances of clauses are generated by certain inferences, and where inconsistency is detected by propositional tests. We gi...
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems--such as for ...
We present a resolution calculus for first-order logic using a more concise formalism for representing sets of clauses. The idea is to represent the clause set at hand as a Direct...
Abstract. We consider the problem of computing optimal plans for propositional planning problems with action costs. In the spirit of leveraging advances in general-purpose automate...
Nathan Robinson, Charles Gretton, Duc Nghia Pham, ...