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...
The PCP theorem [3, 2] says that every language in NP has a witness format that can be checked probabilistically by reading only a constant number of bits from the proof. The cele...
This paper presents a compiler which produces machine code from functions defined in the logic of a theorem prover, and at the same time proves that the generated code executes the...
Magnus O. Myreen, Konrad Slind, Michael J. C. Gord...
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
The vision of a computerised assistant to mathematicians has existed since the inception of theorem proving systems. The Alcor system has been designed to investigate and explore h...