It is known that the problem of determining consistency of a finite system of equations in a free group or a free monoid is decidable, but the corresponding problem for systems o...
Abstract. Post's correspondence problem (PCP) is a classic undecidable problem. Its theoretical unbounded search space makes it hard to judge whether a PCP instance has a solu...
useful for optimizing compilers [15], partial evaluators [11], abstract debuggers [1], models-checkers [2], formal verifiers [13], etc. The difficulty of the task comes from the fa...
contexts such as construction of abstractions, speed may be favored over completeness, so that undecidable theories (e.g., nonlinear integer arithmetic) and those whose decision pr...
We provide three key missing pieces of a general theory of information distance [3, 23, 24]. We take bold steps in formulating a revised theory to avoid some pitfalls in practical...