ue to a lack of abstraction in the formalization of deductive mechanisms involved in programming reasoning tools for the development of program synthesizers are not yet available. ...
Abstract. We consider the problem of specifying and computing consistent answers to queries against databases that do not satisfy given integrity constraints. This is done by simul...
Marcelo Arenas, Leopoldo E. Bertossi, Michael Kife...
Termination of recursive functions is an important property in proof assistants based on dependent type theories; it implies consistency and decidability of type checking. Type-bas...
In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in t...
We propose a natural framework, called NF, which supports development of formal proofs on a computer. NF is based on a theory of Judgments and Derivations. NF is designed by observ...