We develop and implement a novel algorithm for discovering the optimal sets of premisses for proving and disproving conjectures in first-order logic. The algorithm uses interpret...
In the eld of automated reasoning, one of the most challenging (even if, perhaps, somewhat overlooked) problems thus far has been to develop a means of discerning, from amongst al...
Abstract. The relationship between theorems and lemmas in mathematical reasoning is often vague. No system exists that formalizes the structure of theorems in a mathematical librar...
Matita is a new, document-centric, tactic-based interactive theorem prover. This paper focuses on some of the distinctive features of the user interaction with Matita, characterize...
Andrea Asperti, Claudio Sacerdoti Coen, Enrico Tas...
Abstract: This paper presents the evidential paradigm of computer-supported mathematical assistance in "doing" mathematics and in reasoning activity. At present, the evid...
Alexander V. Lyaletski, Anatoly E. Doroshenko, And...