We introduce two-sorted theories in the style of [CN10] for the complexity classes L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then desc...
Using methods of abstract logic and the theory of valuation, we prove that there is no paraconsistent negation obeying the law of double negation and such that ¬(a ∧ ¬a) is a t...
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...
We present a method for proving rigid first order theorems by encoding them as propositional satisfiability problems. We encode the existence of a first order connection tableau an...
Todd Deshane, Wenjin Hu, Patty Jablonski, Hai Lin,...
In the context of program verification in an interactive theorem prover, we study the problem of transforming function definitions with ML-style (possibly overlapping) pattern mat...