The strong weak truth table reducibility was suggested by Downey, Hirschfeldt, and LaForte as a measure of relative randomness, alternative to the Solovay reducibility. It also occ...
We study the proof-theoretic relationship between two deductive systems for the modal mu-calculus. First we recall an infinitary system which contains an omega rule allowing to de...
We introduce a deductive system Bal which models the logic of balance of opposing forces or of balance between conflicting evidence or influences. "Truth values" are int...
This paper analyzes implementable social choice functions (in dominant strategies) over restricted domains of preferences, the leading example being combinatorial auctions. Our wo...